#ifndef CONSTANTES
#define CONSTANTES

#include <math.h>

#define NB_DEGRES            2

#define _N                   16200 // Nombre de Variables
#define _K                   7560 // Nombre de Checks   
#define _M                   75239 // Nombre de Messages 

#define NOEUD   _N
#define MESSAGE _M

#define NmoinsK     (_N-_K)

#define DEG_1                10
#define DEG_2                9

#define DEG_1_COMPUTATIONS   7199
#define DEG_2_COMPUTATIONS   361

#define NB_ITERATIONS        20
#define NB_BITS_VARIABLES    8 //8
#define NB_BITS_MESSAGES     6 //6
#define SAT_POS_VAR  ( (0x0001<<(NB_BITS_VARIABLES-1))-1)
#define SAT_NEG_VAR  (-(0x0001<<(NB_BITS_VARIABLES-1))+1)
#define SAT_POS_MSG  ( (0x0001<<(NB_BITS_MESSAGES -1))-1)
#define SAT_NEG_MSG  (-(0x0001<<(NB_BITS_MESSAGES -1))+1)

static float  beta         = 0.15;
static int    FACTEUR_BETA = (0x0001<<(NB_BITS_MESSAGES/2));
static int    BETA_FIX; //     = ((int)(FACTEUR_BETA*beta))

#endif


#ifndef _PosNoeudsVariable_
#define _PosNoeudsVariable_
const unsigned short PosNoeudsVariable[75239] ={
/* msg =      0, deg = 10 */    122,    387,    803,   1307,   1581,   1966,   5268,   8132,   8640,   8641, 
/* msg =      1, deg = 10 */    266,    382,    793,   1159,   1445,   2996,   4408,   6847,   8641,   8642, 
/* msg =      2, deg = 10 */    332,    635,    801,   1117,   1768,   3310,   4063,   6874,   8642,   8643, 
/* msg =      3, deg = 10 */    265,    364,    823,   1124,   1761,   3465,   5620,   7201,   8643,   8644, 
/* msg =      4, deg = 10 */    187,    392,    796,   1087,   1457,   1812,   5900,   7124,   8644,   8645, 
/* msg =      5, deg = 10 */    342,    448,    825,   1280,   1756,   2728,   4434,   8040,   8645,   8646, 
/* msg =      6, deg = 10 */     18,    368,    783,   1413,   1445,   2649,   5632,   8592,   8646,   8647, 
/* msg =      7, deg = 10 */    114,    442,    941,   1105,   1758,   2180,   5967,   6490,   8647,   8648, 
/* msg =      8, deg = 10 */     89,    453,    764,   1163,   1738,   1961,   4582,   8285,   8648,   8649, 
/* msg =      9, deg = 10 */    340,    506,    946,   1281,   1792,   2163,   5315,   6400,   8649,   8650, 
/* msg =     10, deg = 10 */    359,    374,    749,   1342,   1453,   2548,   3600,   6189,   8650,   8651, 
/* msg =     11, deg = 10 */    257,    631,    852,   1371,   1743,   2234,   4699,   6156,   8651,   8652, 
/* msg =     12, deg = 10 */    147,    410,    845,   1114,   1594,   2912,   5234,   7595,   8652,   8653, 
/* msg =     13, deg = 10 */    160,    486,    876,   1327,   1440,   1801,   3976,   6515,   8653,   8654, 
/* msg =     14, deg = 10 */    299,    591,    733,   1081,   1457,   3264,   5440,   6602,   8654,   8655, 
/* msg =     15, deg = 10 */    259,    450,    722,   1205,   1553,   3246,   3703,   8188,   8655,   8656, 
/* msg =     16, deg = 10 */     29,    384,    810,   1087,   1489,   2973,   3783,   7209,   8657,   8658, 
/* msg =     17, deg = 10 */     21,    362,    948,   1343,   1469,   2546,   4202,   7585,   8658,   8659, 
/* msg =     18, deg = 10 */    156,    630,    726,   1354,   1446,   3090,   4951,   8628,   8659,   8660, 
/* msg =     19, deg = 10 */    139,    365,    738,   1119,   1663,   2276,   4692,   7820,   8660,   8661, 
/* msg =     20, deg = 10 */    123,    388,    804,   1308,   1582,   1967,   5269,   8133,   8661,   8662, 
/* msg =     21, deg = 10 */    267,    383,    794,   1160,   1446,   2997,   4409,   6848,   8662,   8663, 
/* msg =     22, deg = 10 */    333,    636,    802,   1118,   1769,   3311,   4064,   6875,   8663,   8664, 
/* msg =     23, deg = 10 */    266,    365,    824,   1125,   1762,   3466,   5621,   7202,   8664,   8665, 
/* msg =     24, deg = 10 */    188,    393,    797,   1088,   1458,   1813,   5901,   7125,   8665,   8666, 
/* msg =     25, deg = 10 */    343,    449,    826,   1281,   1757,   2729,   4435,   8041,   8666,   8667, 
/* msg =     26, deg = 10 */     19,    369,    784,   1414,   1446,   2650,   5633,   8593,   8667,   8668, 
/* msg =     27, deg = 10 */    115,    443,    942,   1106,   1759,   2181,   5968,   6491,   8668,   8669, 
/* msg =     28, deg = 10 */     90,    454,    765,   1164,   1739,   1962,   4583,   8286,   8669,   8670, 
/* msg =     29, deg = 10 */    341,    507,    947,   1282,   1793,   2164,   5316,   6401,   8670,   8671, 
/* msg =     30, deg = 10 */      0,    375,    750,   1343,   1454,   2549,   3601,   6190,   8671,   8672, 
/* msg =     31, deg = 10 */    258,    632,    853,   1372,   1744,   2235,   4700,   6157,   8672,   8673, 
/* msg =     32, deg = 10 */    148,    411,    846,   1115,   1595,   2913,   5235,   7596,   8673,   8674, 
/* msg =     33, deg = 10 */    161,    487,    877,   1328,   1441,   1802,   3977,   6516,   8674,   8675, 
/* msg =     34, deg = 10 */    300,    592,    734,   1082,   1458,   3265,   5441,   6603,   8675,   8676, 
/* msg =     35, deg = 10 */    260,    451,    723,   1206,   1554,   3247,   3704,   8189,   8676,   8677, 
/* msg =     36, deg = 10 */     30,    385,    811,   1088,   1490,   2974,   3784,   7210,   8678,   8679, 
/* msg =     37, deg = 10 */     22,    363,    949,   1344,   1470,   2547,   4203,   7586,   8679,   8680, 
/* msg =     38, deg = 10 */    157,    631,    727,   1355,   1447,   3091,   4952,   8629,   8680,   8681, 
/* msg =     39, deg = 10 */    140,    366,    739,   1120,   1664,   2277,   4693,   7821,   8681,   8682, 
/* msg =     40, deg = 10 */    124,    389,    805,   1309,   1583,   1968,   5270,   8134,   8682,   8683, 
/* msg =     41, deg = 10 */    268,    384,    795,   1161,   1447,   2998,   4410,   6849,   8683,   8684, 
/* msg =     42, deg = 10 */    334,    637,    803,   1119,   1770,   3312,   4065,   6876,   8684,   8685, 
/* msg =     43, deg = 10 */    267,    366,    825,   1126,   1763,   3467,   5622,   7203,   8685,   8686, 
/* msg =     44, deg = 10 */    189,    394,    798,   1089,   1459,   1814,   5902,   7126,   8686,   8687, 
/* msg =     45, deg = 10 */    344,    450,    827,   1282,   1758,   2730,   4436,   8042,   8687,   8688, 
/* msg =     46, deg = 10 */     20,    370,    785,   1415,   1447,   2651,   5634,   8594,   8688,   8689, 
/* msg =     47, deg = 10 */    116,    444,    943,   1107,   1760,   2182,   5969,   6492,   8689,   8690, 
/* msg =     48, deg = 10 */     91,    455,    766,   1165,   1740,   1963,   4584,   8287,   8690,   8691, 
/* msg =     49, deg = 10 */    342,    508,    948,   1283,   1794,   2165,   5317,   6402,   8691,   8692, 
/* msg =     50, deg = 10 */      1,    376,    751,   1344,   1455,   2550,   3602,   6191,   8692,   8693, 
/* msg =     51, deg = 10 */    259,    633,    854,   1373,   1745,   2236,   4701,   6158,   8693,   8694, 
/* msg =     52, deg = 10 */    149,    412,    847,   1116,   1596,   2914,   5236,   7597,   8694,   8695, 
/* msg =     53, deg = 10 */    162,    488,    878,   1329,   1442,   1803,   3978,   6517,   8695,   8696, 
/* msg =     54, deg = 10 */    301,    593,    735,   1083,   1459,   3266,   5442,   6604,   8696,   8697, 
/* msg =     55, deg = 10 */    261,    452,    724,   1207,   1555,   3248,   3705,   8190,   8697,   8698, 
/* msg =     56, deg = 10 */     31,    386,    812,   1089,   1491,   2975,   3785,   7211,   8699,   8700, 
/* msg =     57, deg = 10 */     23,    364,    950,   1345,   1471,   2548,   4204,   7587,   8700,   8701, 
/* msg =     58, deg = 10 */    158,    632,    728,   1356,   1448,   3092,   4953,   8630,   8701,   8702, 
/* msg =     59, deg = 10 */    141,    367,    740,   1121,   1665,   2278,   4694,   7822,   8702,   8703, 
/* msg =     60, deg = 10 */    125,    390,    806,   1310,   1584,   1969,   5271,   8135,   8703,   8704, 
/* msg =     61, deg = 10 */    269,    385,    796,   1162,   1448,   2999,   4411,   6850,   8704,   8705, 
/* msg =     62, deg = 10 */    335,    638,    804,   1120,   1771,   3313,   4066,   6877,   8705,   8706, 
/* msg =     63, deg = 10 */    268,    367,    826,   1127,   1764,   3468,   5623,   7204,   8706,   8707, 
/* msg =     64, deg = 10 */    190,    395,    799,   1090,   1460,   1815,   5903,   7127,   8707,   8708, 
/* msg =     65, deg = 10 */    345,    451,    828,   1283,   1759,   2731,   4437,   8043,   8708,   8709, 
/* msg =     66, deg = 10 */     21,    371,    786,   1416,   1448,   2652,   5635,   8595,   8709,   8710, 
/* msg =     67, deg = 10 */    117,    445,    944,   1108,   1761,   2183,   5970,   6493,   8710,   8711, 
/* msg =     68, deg = 10 */     92,    456,    767,   1166,   1741,   1964,   4585,   8288,   8711,   8712, 
/* msg =     69, deg = 10 */    343,    509,    949,   1284,   1795,   2166,   5318,   6403,   8712,   8713, 
/* msg =     70, deg = 10 */      2,    377,    752,   1345,   1456,   2551,   3603,   6192,   8713,   8714, 
/* msg =     71, deg = 10 */    260,    634,    855,   1374,   1746,   2237,   4702,   6159,   8714,   8715, 
/* msg =     72, deg = 10 */    150,    413,    848,   1117,   1597,   2915,   5237,   7598,   8715,   8716, 
/* msg =     73, deg = 10 */    163,    489,    879,   1330,   1443,   1804,   3979,   6518,   8716,   8717, 
/* msg =     74, deg = 10 */    302,    594,    736,   1084,   1460,   3267,   5443,   6605,   8717,   8718, 
/* msg =     75, deg = 10 */    262,    453,    725,   1208,   1556,   3249,   3706,   8191,   8718,   8719, 
/* msg =     76, deg = 10 */     32,    387,    813,   1090,   1492,   2976,   3786,   7212,   8720,   8721, 
/* msg =     77, deg = 10 */     24,    365,    951,   1346,   1472,   2549,   4205,   7588,   8721,   8722, 
/* msg =     78, deg = 10 */    159,    633,    729,   1357,   1449,   3093,   4954,   8631,   8722,   8723, 
/* msg =     79, deg = 10 */    142,    368,    741,   1122,   1666,   2279,   4695,   7823,   8723,   8724, 
/* msg =     80, deg = 10 */    126,    391,    807,   1311,   1585,   1970,   5272,   8136,   8724,   8725, 
/* msg =     81, deg = 10 */    270,    386,    797,   1163,   1449,   3000,   4412,   6851,   8725,   8726, 
/* msg =     82, deg = 10 */    336,    639,    805,   1121,   1772,   3314,   4067,   6878,   8726,   8727, 
/* msg =     83, deg = 10 */    269,    368,    827,   1128,   1765,   3469,   5624,   7205,   8727,   8728, 
/* msg =     84, deg = 10 */    191,    396,    800,   1091,   1461,   1816,   5904,   7128,   8728,   8729, 
/* msg =     85, deg = 10 */    346,    452,    829,   1284,   1760,   2732,   4438,   8044,   8729,   8730, 
/* msg =     86, deg = 10 */     22,    372,    787,   1417,   1449,   2653,   5636,   8596,   8730,   8731, 
/* msg =     87, deg = 10 */    118,    446,    945,   1109,   1762,   2184,   5971,   6494,   8731,   8732, 
/* msg =     88, deg = 10 */     93,    457,    768,   1167,   1742,   1965,   4586,   8289,   8732,   8733, 
/* msg =     89, deg = 10 */    344,    510,    950,   1285,   1796,   2167,   5319,   6404,   8733,   8734, 
/* msg =     90, deg = 10 */      3,    378,    753,   1346,   1457,   2552,   3604,   6193,   8734,   8735, 
/* msg =     91, deg = 10 */    261,    635,    856,   1375,   1747,   2238,   4703,   6160,   8735,   8736, 
/* msg =     92, deg = 10 */    151,    414,    849,   1118,   1598,   2916,   5238,   7599,   8736,   8737, 
/* msg =     93, deg = 10 */    164,    490,    880,   1331,   1444,   1805,   3980,   6519,   8737,   8738, 
/* msg =     94, deg = 10 */    303,    595,    737,   1085,   1461,   3268,   5444,   6606,   8738,   8739, 
/* msg =     95, deg = 10 */    263,    454,    726,   1209,   1557,   3250,   3707,   8192,   8739,   8740, 
/* msg =     96, deg = 10 */     33,    388,    814,   1091,   1493,   2977,   3787,   7213,   8741,   8742, 
/* msg =     97, deg = 10 */     25,    366,    952,   1347,   1473,   2550,   4206,   7589,   8742,   8743, 
/* msg =     98, deg = 10 */    160,    634,    730,   1358,   1450,   3094,   4955,   8632,   8743,   8744, 
/* msg =     99, deg = 10 */    143,    369,    742,   1123,   1667,   2280,   4696,   7824,   8744,   8745, 
/* msg =    100, deg = 10 */    127,    392,    808,   1312,   1586,   1971,   5273,   8137,   8745,   8746, 
/* msg =    101, deg = 10 */    271,    387,    798,   1164,   1450,   3001,   4413,   6852,   8746,   8747, 
/* msg =    102, deg = 10 */    337,    640,    806,   1122,   1773,   3315,   4068,   6879,   8747,   8748, 
/* msg =    103, deg = 10 */    270,    369,    828,   1129,   1766,   3470,   5625,   7206,   8748,   8749, 
/* msg =    104, deg = 10 */    192,    397,    801,   1092,   1462,   1817,   5905,   7129,   8749,   8750, 
/* msg =    105, deg = 10 */    347,    453,    830,   1285,   1761,   2733,   4439,   8045,   8750,   8751, 
/* msg =    106, deg = 10 */     23,    373,    788,   1418,   1450,   2654,   5637,   8597,   8751,   8752, 
/* msg =    107, deg = 10 */    119,    447,    946,   1110,   1763,   2185,   5972,   6495,   8752,   8753, 
/* msg =    108, deg = 10 */     94,    458,    769,   1168,   1743,   1966,   4587,   8290,   8753,   8754, 
/* msg =    109, deg = 10 */    345,    511,    951,   1286,   1797,   2168,   5320,   6405,   8754,   8755, 
/* msg =    110, deg = 10 */      4,    379,    754,   1347,   1458,   2553,   3605,   6194,   8755,   8756, 
/* msg =    111, deg = 10 */    262,    636,    857,   1376,   1748,   2239,   4704,   6161,   8756,   8757, 
/* msg =    112, deg = 10 */    152,    415,    850,   1119,   1599,   2917,   5239,   7600,   8757,   8758, 
/* msg =    113, deg = 10 */    165,    491,    881,   1332,   1445,   1806,   3981,   6520,   8758,   8759, 
/* msg =    114, deg = 10 */    304,    596,    738,   1086,   1462,   3269,   5445,   6607,   8759,   8760, 
/* msg =    115, deg = 10 */    264,    455,    727,   1210,   1558,   3251,   3708,   8193,   8760,   8761, 
/* msg =    116, deg = 10 */     34,    389,    815,   1092,   1494,   2978,   3788,   7214,   8762,   8763, 
/* msg =    117, deg = 10 */     26,    367,    953,   1348,   1474,   2551,   4207,   7590,   8763,   8764, 
/* msg =    118, deg = 10 */    161,    635,    731,   1359,   1451,   3095,   4956,   8633,   8764,   8765, 
/* msg =    119, deg = 10 */    144,    370,    743,   1124,   1668,   2281,   4697,   7825,   8765,   8766, 
/* msg =    120, deg = 10 */    128,    393,    809,   1313,   1587,   1972,   5274,   8138,   8766,   8767, 
/* msg =    121, deg = 10 */    272,    388,    799,   1165,   1451,   3002,   4414,   6853,   8767,   8768, 
/* msg =    122, deg = 10 */    338,    641,    807,   1123,   1774,   3316,   4069,   6880,   8768,   8769, 
/* msg =    123, deg = 10 */    271,    370,    829,   1130,   1767,   3471,   5626,   7207,   8769,   8770, 
/* msg =    124, deg = 10 */    193,    398,    802,   1093,   1463,   1818,   5906,   7130,   8770,   8771, 
/* msg =    125, deg = 10 */    348,    454,    831,   1286,   1762,   2734,   4440,   8046,   8771,   8772, 
/* msg =    126, deg = 10 */     24,    374,    789,   1419,   1451,   2655,   5638,   8598,   8772,   8773, 
/* msg =    127, deg = 10 */    120,    448,    947,   1111,   1764,   2186,   5973,   6496,   8773,   8774, 
/* msg =    128, deg = 10 */     95,    459,    770,   1169,   1744,   1967,   4588,   8291,   8774,   8775, 
/* msg =    129, deg = 10 */    346,    512,    952,   1287,   1798,   2169,   5321,   6406,   8775,   8776, 
/* msg =    130, deg = 10 */      5,    380,    755,   1348,   1459,   2554,   3606,   6195,   8776,   8777, 
/* msg =    131, deg = 10 */    263,    637,    858,   1377,   1749,   2240,   4705,   6162,   8777,   8778, 
/* msg =    132, deg = 10 */    153,    416,    851,   1120,   1600,   2918,   5240,   7601,   8778,   8779, 
/* msg =    133, deg = 10 */    166,    492,    882,   1333,   1446,   1807,   3982,   6521,   8779,   8780, 
/* msg =    134, deg = 10 */    305,    597,    739,   1087,   1463,   3270,   5446,   6608,   8780,   8781, 
/* msg =    135, deg = 10 */    265,    456,    728,   1211,   1559,   3252,   3709,   8194,   8781,   8782, 
/* msg =    136, deg = 10 */     35,    390,    816,   1093,   1495,   2979,   3789,   7215,   8783,   8784, 
/* msg =    137, deg = 10 */     27,    368,    954,   1349,   1475,   2552,   4208,   7591,   8784,   8785, 
/* msg =    138, deg = 10 */    162,    636,    732,   1360,   1452,   3096,   4957,   8634,   8785,   8786, 
/* msg =    139, deg = 10 */    145,    371,    744,   1125,   1669,   2282,   4698,   7826,   8786,   8787, 
/* msg =    140, deg = 10 */    129,    394,    810,   1314,   1588,   1973,   5275,   8139,   8787,   8788, 
/* msg =    141, deg = 10 */    273,    389,    800,   1166,   1452,   3003,   4415,   6854,   8788,   8789, 
/* msg =    142, deg = 10 */    339,    642,    808,   1124,   1775,   3317,   4070,   6881,   8789,   8790, 
/* msg =    143, deg = 10 */    272,    371,    830,   1131,   1768,   3472,   5627,   7208,   8790,   8791, 
/* msg =    144, deg = 10 */    194,    399,    803,   1094,   1464,   1819,   5907,   7131,   8791,   8792, 
/* msg =    145, deg = 10 */    349,    455,    832,   1287,   1763,   2735,   4441,   8047,   8792,   8793, 
/* msg =    146, deg = 10 */     25,    375,    790,   1420,   1452,   2656,   5639,   8599,   8793,   8794, 
/* msg =    147, deg = 10 */    121,    449,    948,   1112,   1765,   2187,   5974,   6497,   8794,   8795, 
/* msg =    148, deg = 10 */     96,    460,    771,   1170,   1745,   1968,   4589,   8292,   8795,   8796, 
/* msg =    149, deg = 10 */    347,    513,    953,   1288,   1799,   2170,   5322,   6407,   8796,   8797, 
/* msg =    150, deg = 10 */      6,    381,    756,   1349,   1460,   2555,   3607,   6196,   8797,   8798, 
/* msg =    151, deg = 10 */    264,    638,    859,   1378,   1750,   2241,   4706,   6163,   8798,   8799, 
/* msg =    152, deg = 10 */    154,    417,    852,   1121,   1601,   2919,   5241,   7602,   8799,   8800, 
/* msg =    153, deg = 10 */    167,    493,    883,   1334,   1447,   1808,   3983,   6522,   8800,   8801, 
/* msg =    154, deg = 10 */    306,    598,    740,   1088,   1464,   3271,   5447,   6609,   8801,   8802, 
/* msg =    155, deg = 10 */    266,    457,    729,   1212,   1560,   3253,   3710,   8195,   8802,   8803, 
/* msg =    156, deg = 10 */     36,    391,    817,   1094,   1496,   2980,   3790,   7216,   8804,   8805, 
/* msg =    157, deg = 10 */     28,    369,    955,   1350,   1476,   2553,   4209,   7592,   8805,   8806, 
/* msg =    158, deg = 10 */    163,    637,    733,   1361,   1453,   3097,   4958,   8635,   8806,   8807, 
/* msg =    159, deg = 10 */    146,    372,    745,   1126,   1670,   2283,   4699,   7827,   8807,   8808, 
/* msg =    160, deg = 10 */    130,    395,    811,   1315,   1589,   1974,   5276,   8140,   8808,   8809, 
/* msg =    161, deg = 10 */    274,    390,    801,   1167,   1453,   3004,   4416,   6855,   8809,   8810, 
/* msg =    162, deg = 10 */    340,    643,    809,   1125,   1776,   3318,   4071,   6882,   8810,   8811, 
/* msg =    163, deg = 10 */    273,    372,    831,   1132,   1769,   3473,   5628,   7209,   8811,   8812, 
/* msg =    164, deg = 10 */    195,    400,    804,   1095,   1465,   1820,   5908,   7132,   8812,   8813, 
/* msg =    165, deg = 10 */    350,    456,    833,   1288,   1764,   2736,   4442,   8048,   8813,   8814, 
/* msg =    166, deg = 10 */     26,    376,    791,   1421,   1453,   2657,   5640,   8600,   8814,   8815, 
/* msg =    167, deg = 10 */    122,    450,    949,   1113,   1766,   2188,   5975,   6498,   8815,   8816, 
/* msg =    168, deg = 10 */     97,    461,    772,   1171,   1746,   1969,   4590,   8293,   8816,   8817, 
/* msg =    169, deg = 10 */    348,    514,    954,   1289,   1440,   2171,   5323,   6408,   8817,   8818, 
/* msg =    170, deg = 10 */      7,    382,    757,   1350,   1461,   2556,   3608,   6197,   8818,   8819, 
/* msg =    171, deg = 10 */    265,    639,    860,   1379,   1751,   2242,   4707,   6164,   8819,   8820, 
/* msg =    172, deg = 10 */    155,    418,    853,   1122,   1602,   2920,   5242,   7603,   8820,   8821, 
/* msg =    173, deg = 10 */    168,    494,    884,   1335,   1448,   1809,   3984,   6523,   8821,   8822, 
/* msg =    174, deg = 10 */    307,    599,    741,   1089,   1465,   3272,   5448,   6610,   8822,   8823, 
/* msg =    175, deg = 10 */    267,    458,    730,   1213,   1561,   3254,   3711,   8196,   8823,   8824, 
/* msg =    176, deg = 10 */     37,    392,    818,   1095,   1497,   2981,   3791,   7217,   8825,   8826, 
/* msg =    177, deg = 10 */     29,    370,    956,   1351,   1477,   2554,   4210,   7593,   8826,   8827, 
/* msg =    178, deg = 10 */    164,    638,    734,   1362,   1454,   3098,   4959,   8636,   8827,   8828, 
/* msg =    179, deg = 10 */    147,    373,    746,   1127,   1671,   2284,   4700,   7828,   8828,   8829, 
/* msg =    180, deg = 10 */    131,    396,    812,   1316,   1590,   1975,   5277,   8141,   8829,   8830, 
/* msg =    181, deg = 10 */    275,    391,    802,   1168,   1454,   3005,   4417,   6856,   8830,   8831, 
/* msg =    182, deg = 10 */    341,    644,    810,   1126,   1777,   3319,   4072,   6883,   8831,   8832, 
/* msg =    183, deg = 10 */    274,    373,    832,   1133,   1770,   3474,   5629,   7210,   8832,   8833, 
/* msg =    184, deg = 10 */    196,    401,    805,   1096,   1466,   1821,   5909,   7133,   8833,   8834, 
/* msg =    185, deg = 10 */    351,    457,    834,   1289,   1765,   2737,   4443,   8049,   8834,   8835, 
/* msg =    186, deg = 10 */     27,    377,    792,   1422,   1454,   2658,   5641,   8601,   8835,   8836, 
/* msg =    187, deg = 10 */    123,    451,    950,   1114,   1767,   2189,   5976,   6499,   8836,   8837, 
/* msg =    188, deg = 10 */     98,    462,    773,   1172,   1747,   1970,   4591,   8294,   8837,   8838, 
/* msg =    189, deg = 10 */    349,    515,    955,   1290,   1441,   2172,   5324,   6409,   8838,   8839, 
/* msg =    190, deg = 10 */      8,    383,    758,   1351,   1462,   2557,   3609,   6198,   8839,   8840, 
/* msg =    191, deg = 10 */    266,    640,    861,   1380,   1752,   2243,   4708,   6165,   8840,   8841, 
/* msg =    192, deg = 10 */    156,    419,    854,   1123,   1603,   2921,   5243,   7604,   8841,   8842, 
/* msg =    193, deg = 10 */    169,    495,    885,   1336,   1449,   1810,   3985,   6524,   8842,   8843, 
/* msg =    194, deg = 10 */    308,    600,    742,   1090,   1466,   3273,   5449,   6611,   8843,   8844, 
/* msg =    195, deg = 10 */    268,    459,    731,   1214,   1562,   3255,   3712,   8197,   8844,   8845, 
/* msg =    196, deg = 10 */     38,    393,    819,   1096,   1498,   2982,   3792,   7218,   8846,   8847, 
/* msg =    197, deg = 10 */     30,    371,    957,   1352,   1478,   2555,   4211,   7594,   8847,   8848, 
/* msg =    198, deg = 10 */    165,    639,    735,   1363,   1455,   3099,   4960,   8637,   8848,   8849, 
/* msg =    199, deg = 10 */    148,    374,    747,   1128,   1672,   2285,   4701,   7829,   8849,   8850, 
/* msg =    200, deg = 10 */    132,    397,    813,   1317,   1591,   1976,   5278,   8142,   8850,   8851, 
/* msg =    201, deg = 10 */    276,    392,    803,   1169,   1455,   3006,   4418,   6857,   8851,   8852, 
/* msg =    202, deg = 10 */    342,    645,    811,   1127,   1778,   3320,   4073,   6884,   8852,   8853, 
/* msg =    203, deg = 10 */    275,    374,    833,   1134,   1771,   3475,   5630,   7211,   8853,   8854, 
/* msg =    204, deg = 10 */    197,    402,    806,   1097,   1467,   1822,   5910,   7134,   8854,   8855, 
/* msg =    205, deg = 10 */    352,    458,    835,   1290,   1766,   2738,   4444,   8050,   8855,   8856, 
/* msg =    206, deg = 10 */     28,    378,    793,   1423,   1455,   2659,   5642,   8602,   8856,   8857, 
/* msg =    207, deg = 10 */    124,    452,    951,   1115,   1768,   2190,   5977,   6500,   8857,   8858, 
/* msg =    208, deg = 10 */     99,    463,    774,   1173,   1748,   1971,   4592,   8295,   8858,   8859, 
/* msg =    209, deg = 10 */    350,    516,    956,   1291,   1442,   2173,   5325,   6410,   8859,   8860, 
/* msg =    210, deg = 10 */      9,    384,    759,   1352,   1463,   2558,   3610,   6199,   8860,   8861, 
/* msg =    211, deg = 10 */    267,    641,    862,   1381,   1753,   2244,   4709,   6166,   8861,   8862, 
/* msg =    212, deg = 10 */    157,    420,    855,   1124,   1604,   2922,   5244,   7605,   8862,   8863, 
/* msg =    213, deg = 10 */    170,    496,    886,   1337,   1450,   1811,   3986,   6525,   8863,   8864, 
/* msg =    214, deg = 10 */    309,    601,    743,   1091,   1467,   3274,   5450,   6612,   8864,   8865, 
/* msg =    215, deg = 10 */    269,    460,    732,   1215,   1563,   3256,   3713,   8198,   8865,   8866, 
/* msg =    216, deg = 10 */     39,    394,    820,   1097,   1499,   2983,   3793,   7219,   8867,   8868, 
/* msg =    217, deg = 10 */     31,    372,    958,   1353,   1479,   2556,   4212,   7595,   8868,   8869, 
/* msg =    218, deg = 10 */    166,    640,    736,   1364,   1456,   3100,   4961,   8638,   8869,   8870, 
/* msg =    219, deg = 10 */    149,    375,    748,   1129,   1673,   2286,   4702,   7830,   8870,   8871, 
/* msg =    220, deg = 10 */    133,    398,    814,   1318,   1592,   1977,   5279,   8143,   8871,   8872, 
/* msg =    221, deg = 10 */    277,    393,    804,   1170,   1456,   3007,   4419,   6858,   8872,   8873, 
/* msg =    222, deg = 10 */    343,    646,    812,   1128,   1779,   3321,   4074,   6885,   8873,   8874, 
/* msg =    223, deg = 10 */    276,    375,    834,   1135,   1772,   3476,   5631,   7212,   8874,   8875, 
/* msg =    224, deg = 10 */    198,    403,    807,   1098,   1468,   1823,   5911,   7135,   8875,   8876, 
/* msg =    225, deg = 10 */    353,    459,    836,   1291,   1767,   2739,   4445,   8051,   8876,   8877, 
/* msg =    226, deg = 10 */     29,    379,    794,   1424,   1456,   2660,   5643,   8603,   8877,   8878, 
/* msg =    227, deg = 10 */    125,    453,    952,   1116,   1769,   2191,   5978,   6501,   8878,   8879, 
/* msg =    228, deg = 10 */    100,    464,    775,   1174,   1749,   1972,   4593,   8296,   8879,   8880, 
/* msg =    229, deg = 10 */    351,    517,    957,   1292,   1443,   2174,   5326,   6411,   8880,   8881, 
/* msg =    230, deg = 10 */     10,    385,    760,   1353,   1464,   2559,   3611,   6200,   8881,   8882, 
/* msg =    231, deg = 10 */    268,    642,    863,   1382,   1754,   2245,   4710,   6167,   8882,   8883, 
/* msg =    232, deg = 10 */    158,    421,    856,   1125,   1605,   2923,   5245,   7606,   8883,   8884, 
/* msg =    233, deg = 10 */    171,    497,    887,   1338,   1451,   1812,   3987,   6526,   8884,   8885, 
/* msg =    234, deg = 10 */    310,    602,    744,   1092,   1468,   3275,   5451,   6613,   8885,   8886, 
/* msg =    235, deg = 10 */    270,    461,    733,   1216,   1564,   3257,   3714,   8199,   8886,   8887, 
/* msg =    236, deg = 10 */     40,    395,    821,   1098,   1500,   2984,   3794,   7220,   8888,   8889, 
/* msg =    237, deg = 10 */     32,    373,    959,   1354,   1480,   2557,   4213,   7596,   8889,   8890, 
/* msg =    238, deg = 10 */    167,    641,    737,   1365,   1457,   3101,   4962,   8639,   8890,   8891, 
/* msg =    239, deg = 10 */    150,    376,    749,   1130,   1674,   2287,   4703,   7831,   8891,   8892, 
/* msg =    240, deg = 10 */    134,    399,    815,   1319,   1593,   1978,   5280,   8144,   8892,   8893, 
/* msg =    241, deg = 10 */    278,    394,    805,   1171,   1457,   3008,   4420,   6859,   8893,   8894, 
/* msg =    242, deg = 10 */    344,    647,    813,   1129,   1780,   3322,   4075,   6886,   8894,   8895, 
/* msg =    243, deg = 10 */    277,    376,    835,   1136,   1773,   3477,   5632,   7213,   8895,   8896, 
/* msg =    244, deg = 10 */    199,    404,    808,   1099,   1469,   1824,   5912,   7136,   8896,   8897, 
/* msg =    245, deg = 10 */    354,    460,    837,   1292,   1768,   2740,   4446,   8052,   8897,   8898, 
/* msg =    246, deg = 10 */     30,    380,    795,   1425,   1457,   2661,   5644,   8604,   8898,   8899, 
/* msg =    247, deg = 10 */    126,    454,    953,   1117,   1770,   2192,   5979,   6502,   8899,   8900, 
/* msg =    248, deg = 10 */    101,    465,    776,   1175,   1750,   1973,   4594,   8297,   8900,   8901, 
/* msg =    249, deg = 10 */    352,    518,    958,   1293,   1444,   2175,   5327,   6412,   8901,   8902, 
/* msg =    250, deg = 10 */     11,    386,    761,   1354,   1465,   2560,   3612,   6201,   8902,   8903, 
/* msg =    251, deg = 10 */    269,    643,    864,   1383,   1755,   2246,   4711,   6168,   8903,   8904, 
/* msg =    252, deg = 10 */    159,    422,    857,   1126,   1606,   2924,   5246,   7607,   8904,   8905, 
/* msg =    253, deg = 10 */    172,    498,    888,   1339,   1452,   1813,   3988,   6527,   8905,   8906, 
/* msg =    254, deg = 10 */    311,    603,    745,   1093,   1469,   3276,   5452,   6614,   8906,   8907, 
/* msg =    255, deg = 10 */    271,    462,    734,   1217,   1565,   3258,   3715,   8200,   8907,   8908, 
/* msg =    256, deg = 10 */     41,    396,    822,   1099,   1501,   2985,   3795,   7221,   8909,   8910, 
/* msg =    257, deg = 10 */     33,    374,    960,   1355,   1481,   2558,   4214,   7597,   8910,   8911, 
/* msg =    258, deg = 10 */    168,    642,    738,   1366,   1458,   3102,   4963,   8280,   8911,   8912, 
/* msg =    259, deg = 10 */    151,    377,    750,   1131,   1675,   2288,   4704,   7832,   8912,   8913, 
/* msg =    260, deg = 10 */    135,    400,    816,   1320,   1594,   1979,   5281,   8145,   8913,   8914, 
/* msg =    261, deg = 10 */    279,    395,    806,   1172,   1458,   3009,   4421,   6860,   8914,   8915, 
/* msg =    262, deg = 10 */    345,    648,    814,   1130,   1781,   3323,   4076,   6887,   8915,   8916, 
/* msg =    263, deg = 10 */    278,    377,    836,   1137,   1774,   3478,   5633,   7214,   8916,   8917, 
/* msg =    264, deg = 10 */    200,    405,    809,   1100,   1470,   1825,   5913,   7137,   8917,   8918, 
/* msg =    265, deg = 10 */    355,    461,    838,   1293,   1769,   2741,   4447,   8053,   8918,   8919, 
/* msg =    266, deg = 10 */     31,    381,    796,   1426,   1458,   2662,   5645,   8605,   8919,   8920, 
/* msg =    267, deg = 10 */    127,    455,    954,   1118,   1771,   2193,   5980,   6503,   8920,   8921, 
/* msg =    268, deg = 10 */    102,    466,    777,   1176,   1751,   1974,   4595,   8298,   8921,   8922, 
/* msg =    269, deg = 10 */    353,    519,    959,   1294,   1445,   2176,   5328,   6413,   8922,   8923, 
/* msg =    270, deg = 10 */     12,    387,    762,   1355,   1466,   2561,   3613,   6202,   8923,   8924, 
/* msg =    271, deg = 10 */    270,    644,    865,   1384,   1756,   2247,   4712,   6169,   8924,   8925, 
/* msg =    272, deg = 10 */    160,    423,    858,   1127,   1607,   2925,   5247,   7608,   8925,   8926, 
/* msg =    273, deg = 10 */    173,    499,    889,   1340,   1453,   1814,   3989,   6528,   8926,   8927, 
/* msg =    274, deg = 10 */    312,    604,    746,   1094,   1470,   3277,   5453,   6615,   8927,   8928, 
/* msg =    275, deg = 10 */    272,    463,    735,   1218,   1566,   3259,   3716,   8201,   8928,   8929, 
/* msg =    276, deg = 10 */     42,    397,    823,   1100,   1502,   2986,   3796,   7222,   8930,   8931, 
/* msg =    277, deg = 10 */     34,    375,    961,   1356,   1482,   2559,   4215,   7598,   8931,   8932, 
/* msg =    278, deg = 10 */    169,    643,    739,   1367,   1459,   3103,   4964,   8281,   8932,   8933, 
/* msg =    279, deg = 10 */    152,    378,    751,   1132,   1676,   2289,   4705,   7833,   8933,   8934, 
/* msg =    280, deg = 10 */    136,    401,    817,   1321,   1595,   1980,   5282,   8146,   8934,   8935, 
/* msg =    281, deg = 10 */    280,    396,    807,   1173,   1459,   3010,   4422,   6861,   8935,   8936, 
/* msg =    282, deg = 10 */    346,    649,    815,   1131,   1782,   3324,   4077,   6888,   8936,   8937, 
/* msg =    283, deg = 10 */    279,    378,    837,   1138,   1775,   3479,   5634,   7215,   8937,   8938, 
/* msg =    284, deg = 10 */    201,    406,    810,   1101,   1471,   1826,   5914,   7138,   8938,   8939, 
/* msg =    285, deg = 10 */    356,    462,    839,   1294,   1770,   2742,   4448,   8054,   8939,   8940, 
/* msg =    286, deg = 10 */     32,    382,    797,   1427,   1459,   2663,   5646,   8606,   8940,   8941, 
/* msg =    287, deg = 10 */    128,    456,    955,   1119,   1772,   2194,   5981,   6504,   8941,   8942, 
/* msg =    288, deg = 10 */    103,    467,    778,   1177,   1752,   1975,   4596,   8299,   8942,   8943, 
/* msg =    289, deg = 10 */    354,    520,    960,   1295,   1446,   2177,   5329,   6414,   8943,   8944, 
/* msg =    290, deg = 10 */     13,    388,    763,   1356,   1467,   2562,   3614,   6203,   8944,   8945, 
/* msg =    291, deg = 10 */    271,    645,    866,   1385,   1757,   2248,   4713,   6170,   8945,   8946, 
/* msg =    292, deg = 10 */    161,    424,    859,   1128,   1608,   2926,   5248,   7609,   8946,   8947, 
/* msg =    293, deg = 10 */    174,    500,    890,   1341,   1454,   1815,   3990,   6529,   8947,   8948, 
/* msg =    294, deg = 10 */    313,    605,    747,   1095,   1471,   3278,   5454,   6616,   8948,   8949, 
/* msg =    295, deg = 10 */    273,    464,    736,   1219,   1567,   3260,   3717,   8202,   8949,   8950, 
/* msg =    296, deg = 10 */     43,    398,    824,   1101,   1503,   2987,   3797,   7223,   8951,   8952, 
/* msg =    297, deg = 10 */     35,    376,    962,   1357,   1483,   2560,   4216,   7599,   8952,   8953, 
/* msg =    298, deg = 10 */    170,    644,    740,   1368,   1460,   3104,   4965,   8282,   8953,   8954, 
/* msg =    299, deg = 10 */    153,    379,    752,   1133,   1677,   2290,   4706,   7834,   8954,   8955, 
/* msg =    300, deg = 10 */    137,    402,    818,   1322,   1596,   1981,   5283,   8147,   8955,   8956, 
/* msg =    301, deg = 10 */    281,    397,    808,   1174,   1460,   3011,   4423,   6862,   8956,   8957, 
/* msg =    302, deg = 10 */    347,    650,    816,   1132,   1783,   3325,   4078,   6889,   8957,   8958, 
/* msg =    303, deg = 10 */    280,    379,    838,   1139,   1776,   3480,   5635,   7216,   8958,   8959, 
/* msg =    304, deg = 10 */    202,    407,    811,   1102,   1472,   1827,   5915,   7139,   8959,   8960, 
/* msg =    305, deg = 10 */    357,    463,    840,   1295,   1771,   2743,   4449,   8055,   8960,   8961, 
/* msg =    306, deg = 10 */     33,    383,    798,   1428,   1460,   2664,   5647,   8607,   8961,   8962, 
/* msg =    307, deg = 10 */    129,    457,    956,   1120,   1773,   2195,   5982,   6505,   8962,   8963, 
/* msg =    308, deg = 10 */    104,    468,    779,   1178,   1753,   1976,   4597,   8300,   8963,   8964, 
/* msg =    309, deg = 10 */    355,    521,    961,   1296,   1447,   2178,   5330,   6415,   8964,   8965, 
/* msg =    310, deg = 10 */     14,    389,    764,   1357,   1468,   2563,   3615,   6204,   8965,   8966, 
/* msg =    311, deg = 10 */    272,    646,    867,   1386,   1758,   2249,   4714,   6171,   8966,   8967, 
/* msg =    312, deg = 10 */    162,    425,    860,   1129,   1609,   2927,   5249,   7610,   8967,   8968, 
/* msg =    313, deg = 10 */    175,    501,    891,   1342,   1455,   1816,   3991,   6530,   8968,   8969, 
/* msg =    314, deg = 10 */    314,    606,    748,   1096,   1472,   3279,   5455,   6617,   8969,   8970, 
/* msg =    315, deg = 10 */    274,    465,    737,   1220,   1568,   3261,   3718,   8203,   8970,   8971, 
/* msg =    316, deg = 10 */     44,    399,    825,   1102,   1504,   2988,   3798,   7224,   8972,   8973, 
/* msg =    317, deg = 10 */     36,    377,    963,   1358,   1484,   2561,   4217,   7600,   8973,   8974, 
/* msg =    318, deg = 10 */    171,    645,    741,   1369,   1461,   3105,   4966,   8283,   8974,   8975, 
/* msg =    319, deg = 10 */    154,    380,    753,   1134,   1678,   2291,   4707,   7835,   8975,   8976, 
/* msg =    320, deg = 10 */    138,    403,    819,   1323,   1597,   1982,   5284,   8148,   8976,   8977, 
/* msg =    321, deg = 10 */    282,    398,    809,   1175,   1461,   3012,   4424,   6863,   8977,   8978, 
/* msg =    322, deg = 10 */    348,    651,    817,   1133,   1784,   3326,   4079,   6890,   8978,   8979, 
/* msg =    323, deg = 10 */    281,    380,    839,   1140,   1777,   3481,   5636,   7217,   8979,   8980, 
/* msg =    324, deg = 10 */    203,    408,    812,   1103,   1473,   1828,   5916,   7140,   8980,   8981, 
/* msg =    325, deg = 10 */    358,    464,    841,   1296,   1772,   2744,   4450,   8056,   8981,   8982, 
/* msg =    326, deg = 10 */     34,    384,    799,   1429,   1461,   2665,   5648,   8608,   8982,   8983, 
/* msg =    327, deg = 10 */    130,    458,    957,   1121,   1774,   2196,   5983,   6506,   8983,   8984, 
/* msg =    328, deg = 10 */    105,    469,    780,   1179,   1754,   1977,   4598,   8301,   8984,   8985, 
/* msg =    329, deg = 10 */    356,    522,    962,   1297,   1448,   2179,   5331,   6416,   8985,   8986, 
/* msg =    330, deg = 10 */     15,    390,    765,   1358,   1469,   2564,   3616,   6205,   8986,   8987, 
/* msg =    331, deg = 10 */    273,    647,    868,   1387,   1759,   2250,   4715,   6172,   8987,   8988, 
/* msg =    332, deg = 10 */    163,    426,    861,   1130,   1610,   2928,   5250,   7611,   8988,   8989, 
/* msg =    333, deg = 10 */    176,    502,    892,   1343,   1456,   1817,   3992,   6531,   8989,   8990, 
/* msg =    334, deg = 10 */    315,    607,    749,   1097,   1473,   3280,   5456,   6618,   8990,   8991, 
/* msg =    335, deg = 10 */    275,    466,    738,   1221,   1569,   3262,   3719,   8204,   8991,   8992, 
/* msg =    336, deg = 10 */     45,    400,    826,   1103,   1505,   2989,   3799,   7225,   8993,   8994, 
/* msg =    337, deg = 10 */     37,    378,    964,   1359,   1485,   2562,   4218,   7601,   8994,   8995, 
/* msg =    338, deg = 10 */    172,    646,    742,   1370,   1462,   3106,   4967,   8284,   8995,   8996, 
/* msg =    339, deg = 10 */    155,    381,    754,   1135,   1679,   2292,   4708,   7836,   8996,   8997, 
/* msg =    340, deg = 10 */    139,    404,    820,   1324,   1598,   1983,   5285,   8149,   8997,   8998, 
/* msg =    341, deg = 10 */    283,    399,    810,   1176,   1462,   3013,   4425,   6864,   8998,   8999, 
/* msg =    342, deg = 10 */    349,    652,    818,   1134,   1785,   3327,   4080,   6891,   8999,   9000, 
/* msg =    343, deg = 10 */    282,    381,    840,   1141,   1778,   3482,   5637,   7218,   9000,   9001, 
/* msg =    344, deg = 10 */    204,    409,    813,   1104,   1474,   1829,   5917,   7141,   9001,   9002, 
/* msg =    345, deg = 10 */    359,    465,    842,   1297,   1773,   2745,   4451,   8057,   9002,   9003, 
/* msg =    346, deg = 10 */     35,    385,    800,   1430,   1462,   2666,   5649,   8609,   9003,   9004, 
/* msg =    347, deg = 10 */    131,    459,    958,   1122,   1775,   2197,   5984,   6507,   9004,   9005, 
/* msg =    348, deg = 10 */    106,    470,    781,   1180,   1755,   1978,   4599,   8302,   9005,   9006, 
/* msg =    349, deg = 10 */    357,    523,    963,   1298,   1449,   2180,   5332,   6417,   9006,   9007, 
/* msg =    350, deg = 10 */     16,    391,    766,   1359,   1470,   2565,   3617,   6206,   9007,   9008, 
/* msg =    351, deg = 10 */    274,    648,    869,   1388,   1760,   2251,   4716,   6173,   9008,   9009, 
/* msg =    352, deg = 10 */    164,    427,    862,   1131,   1611,   2929,   5251,   7612,   9009,   9010, 
/* msg =    353, deg = 10 */    177,    503,    893,   1344,   1457,   1818,   3993,   6532,   9010,   9011, 
/* msg =    354, deg = 10 */    316,    608,    750,   1098,   1474,   3281,   5457,   6619,   9011,   9012, 
/* msg =    355, deg = 10 */    276,    467,    739,   1222,   1570,   3263,   3720,   8205,   9012,   9013, 
/* msg =    356, deg = 10 */     46,    401,    827,   1104,   1506,   2990,   3800,   7226,   9014,   9015, 
/* msg =    357, deg = 10 */     38,    379,    965,   1360,   1486,   2563,   4219,   7602,   9015,   9016, 
/* msg =    358, deg = 10 */    173,    647,    743,   1371,   1463,   3107,   4968,   8285,   9016,   9017, 
/* msg =    359, deg = 10 */    156,    382,    755,   1136,   1680,   2293,   4709,   7837,   9017,   9018, 
/* msg =    360, deg = 10 */    140,    405,    821,   1325,   1599,   1984,   5286,   8150,   9018,   9019, 
/* msg =    361, deg = 10 */    284,    400,    811,   1177,   1463,   3014,   4426,   6865,   9019,   9020, 
/* msg =    362, deg = 10 */    350,    653,    819,   1135,   1786,   3328,   4081,   6892,   9020,   9021, 
/* msg =    363, deg = 10 */    283,    382,    841,   1142,   1779,   3483,   5638,   7219,   9021,   9022, 
/* msg =    364, deg = 10 */    205,    410,    814,   1105,   1475,   1830,   5918,   7142,   9022,   9023, 
/* msg =    365, deg = 10 */      0,    466,    843,   1298,   1774,   2746,   4452,   8058,   9023,   9024, 
/* msg =    366, deg = 10 */     36,    386,    801,   1431,   1463,   2667,   5650,   8610,   9024,   9025, 
/* msg =    367, deg = 10 */    132,    460,    959,   1123,   1776,   2198,   5985,   6508,   9025,   9026, 
/* msg =    368, deg = 10 */    107,    471,    782,   1181,   1756,   1979,   4600,   8303,   9026,   9027, 
/* msg =    369, deg = 10 */    358,    524,    964,   1299,   1450,   2181,   5333,   6418,   9027,   9028, 
/* msg =    370, deg = 10 */     17,    392,    767,   1360,   1471,   2566,   3618,   6207,   9028,   9029, 
/* msg =    371, deg = 10 */    275,    649,    870,   1389,   1761,   2252,   4717,   6174,   9029,   9030, 
/* msg =    372, deg = 10 */    165,    428,    863,   1132,   1612,   2930,   5252,   7613,   9030,   9031, 
/* msg =    373, deg = 10 */    178,    504,    894,   1345,   1458,   1819,   3994,   6533,   9031,   9032, 
/* msg =    374, deg = 10 */    317,    609,    751,   1099,   1475,   3282,   5458,   6620,   9032,   9033, 
/* msg =    375, deg = 10 */    277,    468,    740,   1223,   1571,   3264,   3721,   8206,   9033,   9034, 
/* msg =    376, deg = 10 */     47,    402,    828,   1105,   1507,   2991,   3801,   7227,   9035,   9036, 
/* msg =    377, deg = 10 */     39,    380,    966,   1361,   1487,   2564,   4220,   7603,   9036,   9037, 
/* msg =    378, deg = 10 */    174,    648,    744,   1372,   1464,   3108,   4969,   8286,   9037,   9038, 
/* msg =    379, deg = 10 */    157,    383,    756,   1137,   1681,   2294,   4710,   7838,   9038,   9039, 
/* msg =    380, deg = 10 */    141,    406,    822,   1326,   1600,   1985,   5287,   8151,   9039,   9040, 
/* msg =    381, deg = 10 */    285,    401,    812,   1178,   1464,   3015,   4427,   6866,   9040,   9041, 
/* msg =    382, deg = 10 */    351,    654,    820,   1136,   1787,   3329,   4082,   6893,   9041,   9042, 
/* msg =    383, deg = 10 */    284,    383,    842,   1143,   1780,   3484,   5639,   7220,   9042,   9043, 
/* msg =    384, deg = 10 */    206,    411,    815,   1106,   1476,   1831,   5919,   7143,   9043,   9044, 
/* msg =    385, deg = 10 */      1,    467,    844,   1299,   1775,   2747,   4453,   8059,   9044,   9045, 
/* msg =    386, deg = 10 */     37,    387,    802,   1432,   1464,   2668,   5651,   8611,   9045,   9046, 
/* msg =    387, deg = 10 */    133,    461,    960,   1124,   1777,   2199,   5986,   6509,   9046,   9047, 
/* msg =    388, deg = 10 */    108,    472,    783,   1182,   1757,   1980,   4601,   8304,   9047,   9048, 
/* msg =    389, deg = 10 */    359,    525,    965,   1300,   1451,   2182,   5334,   6419,   9048,   9049, 
/* msg =    390, deg = 10 */     18,    393,    768,   1361,   1472,   2567,   3619,   6208,   9049,   9050, 
/* msg =    391, deg = 10 */    276,    650,    871,   1390,   1762,   2253,   4718,   6175,   9050,   9051, 
/* msg =    392, deg = 10 */    166,    429,    864,   1133,   1613,   2931,   5253,   7614,   9051,   9052, 
/* msg =    393, deg = 10 */    179,    505,    895,   1346,   1459,   1820,   3995,   6534,   9052,   9053, 
/* msg =    394, deg = 10 */    318,    610,    752,   1100,   1476,   3283,   5459,   6621,   9053,   9054, 
/* msg =    395, deg = 10 */    278,    469,    741,   1224,   1572,   3265,   3722,   8207,   9054,   9055, 
/* msg =    396, deg = 10 */     48,    403,    829,   1106,   1508,   2992,   3802,   7228,   9056,   9057, 
/* msg =    397, deg = 10 */     40,    381,    967,   1362,   1488,   2565,   4221,   7604,   9057,   9058, 
/* msg =    398, deg = 10 */    175,    649,    745,   1373,   1465,   3109,   4970,   8287,   9058,   9059, 
/* msg =    399, deg = 10 */    158,    384,    757,   1138,   1682,   2295,   4711,   7839,   9059,   9060, 
/* msg =    400, deg = 10 */    142,    407,    823,   1327,   1601,   1986,   5288,   8152,   9060,   9061, 
/* msg =    401, deg = 10 */    286,    402,    813,   1179,   1465,   3016,   4428,   6867,   9061,   9062, 
/* msg =    402, deg = 10 */    352,    655,    821,   1137,   1788,   3330,   4083,   6894,   9062,   9063, 
/* msg =    403, deg = 10 */    285,    384,    843,   1144,   1781,   3485,   5640,   7221,   9063,   9064, 
/* msg =    404, deg = 10 */    207,    412,    816,   1107,   1477,   1832,   5920,   7144,   9064,   9065, 
/* msg =    405, deg = 10 */      2,    468,    845,   1300,   1776,   2748,   4454,   8060,   9065,   9066, 
/* msg =    406, deg = 10 */     38,    388,    803,   1433,   1465,   2669,   5652,   8612,   9066,   9067, 
/* msg =    407, deg = 10 */    134,    462,    961,   1125,   1778,   2200,   5987,   6510,   9067,   9068, 
/* msg =    408, deg = 10 */    109,    473,    784,   1183,   1758,   1981,   4602,   8305,   9068,   9069, 
/* msg =    409, deg = 10 */      0,    526,    966,   1301,   1452,   2183,   5335,   6420,   9069,   9070, 
/* msg =    410, deg = 10 */     19,    394,    769,   1362,   1473,   2568,   3620,   6209,   9070,   9071, 
/* msg =    411, deg = 10 */    277,    651,    872,   1391,   1763,   2254,   4719,   6176,   9071,   9072, 
/* msg =    412, deg = 10 */    167,    430,    865,   1134,   1614,   2932,   5254,   7615,   9072,   9073, 
/* msg =    413, deg = 10 */    180,    506,    896,   1347,   1460,   1821,   3996,   6535,   9073,   9074, 
/* msg =    414, deg = 10 */    319,    611,    753,   1101,   1477,   3284,   5460,   6622,   9074,   9075, 
/* msg =    415, deg = 10 */    279,    470,    742,   1225,   1573,   3266,   3723,   8208,   9075,   9076, 
/* msg =    416, deg = 10 */     49,    404,    830,   1107,   1509,   2993,   3803,   7229,   9077,   9078, 
/* msg =    417, deg = 10 */     41,    382,    968,   1363,   1489,   2566,   4222,   7605,   9078,   9079, 
/* msg =    418, deg = 10 */    176,    650,    746,   1374,   1466,   3110,   4971,   8288,   9079,   9080, 
/* msg =    419, deg = 10 */    159,    385,    758,   1139,   1683,   2296,   4712,   7840,   9080,   9081, 
/* msg =    420, deg = 10 */    143,    408,    824,   1328,   1602,   1987,   5289,   8153,   9081,   9082, 
/* msg =    421, deg = 10 */    287,    403,    814,   1180,   1466,   3017,   4429,   6868,   9082,   9083, 
/* msg =    422, deg = 10 */    353,    656,    822,   1138,   1789,   3331,   4084,   6895,   9083,   9084, 
/* msg =    423, deg = 10 */    286,    385,    844,   1145,   1782,   3486,   5641,   7222,   9084,   9085, 
/* msg =    424, deg = 10 */    208,    413,    817,   1108,   1478,   1833,   5921,   7145,   9085,   9086, 
/* msg =    425, deg = 10 */      3,    469,    846,   1301,   1777,   2749,   4455,   8061,   9086,   9087, 
/* msg =    426, deg = 10 */     39,    389,    804,   1434,   1466,   2670,   5653,   8613,   9087,   9088, 
/* msg =    427, deg = 10 */    135,    463,    962,   1126,   1779,   2201,   5988,   6511,   9088,   9089, 
/* msg =    428, deg = 10 */    110,    474,    785,   1184,   1759,   1982,   4603,   8306,   9089,   9090, 
/* msg =    429, deg = 10 */      1,    527,    967,   1302,   1453,   2184,   5336,   6421,   9090,   9091, 
/* msg =    430, deg = 10 */     20,    395,    770,   1363,   1474,   2569,   3621,   6210,   9091,   9092, 
/* msg =    431, deg = 10 */    278,    652,    873,   1392,   1764,   2255,   4720,   6177,   9092,   9093, 
/* msg =    432, deg = 10 */    168,    431,    866,   1135,   1615,   2933,   5255,   7616,   9093,   9094, 
/* msg =    433, deg = 10 */    181,    507,    897,   1348,   1461,   1822,   3997,   6536,   9094,   9095, 
/* msg =    434, deg = 10 */    320,    612,    754,   1102,   1478,   3285,   5461,   6623,   9095,   9096, 
/* msg =    435, deg = 10 */    280,    471,    743,   1226,   1574,   3267,   3724,   8209,   9096,   9097, 
/* msg =    436, deg = 10 */     50,    405,    831,   1108,   1510,   2994,   3804,   7230,   9098,   9099, 
/* msg =    437, deg = 10 */     42,    383,    969,   1364,   1490,   2567,   4223,   7606,   9099,   9100, 
/* msg =    438, deg = 10 */    177,    651,    747,   1375,   1467,   3111,   4972,   8289,   9100,   9101, 
/* msg =    439, deg = 10 */    160,    386,    759,   1140,   1684,   2297,   4713,   7841,   9101,   9102, 
/* msg =    440, deg = 10 */    144,    409,    825,   1329,   1603,   1988,   5290,   8154,   9102,   9103, 
/* msg =    441, deg = 10 */    288,    404,    815,   1181,   1467,   3018,   4430,   6869,   9103,   9104, 
/* msg =    442, deg = 10 */    354,    657,    823,   1139,   1790,   3332,   4085,   6896,   9104,   9105, 
/* msg =    443, deg = 10 */    287,    386,    845,   1146,   1783,   3487,   5642,   7223,   9105,   9106, 
/* msg =    444, deg = 10 */    209,    414,    818,   1109,   1479,   1834,   5922,   7146,   9106,   9107, 
/* msg =    445, deg = 10 */      4,    470,    847,   1302,   1778,   2750,   4456,   8062,   9107,   9108, 
/* msg =    446, deg = 10 */     40,    390,    805,   1435,   1467,   2671,   5654,   8614,   9108,   9109, 
/* msg =    447, deg = 10 */    136,    464,    963,   1127,   1780,   2202,   5989,   6512,   9109,   9110, 
/* msg =    448, deg = 10 */    111,    475,    786,   1185,   1760,   1983,   4604,   8307,   9110,   9111, 
/* msg =    449, deg = 10 */      2,    528,    968,   1303,   1454,   2185,   5337,   6422,   9111,   9112, 
/* msg =    450, deg = 10 */     21,    396,    771,   1364,   1475,   2570,   3622,   6211,   9112,   9113, 
/* msg =    451, deg = 10 */    279,    653,    874,   1393,   1765,   2256,   4721,   6178,   9113,   9114, 
/* msg =    452, deg = 10 */    169,    432,    867,   1136,   1616,   2934,   5256,   7617,   9114,   9115, 
/* msg =    453, deg = 10 */    182,    508,    898,   1349,   1462,   1823,   3998,   6537,   9115,   9116, 
/* msg =    454, deg = 10 */    321,    613,    755,   1103,   1479,   3286,   5462,   6624,   9116,   9117, 
/* msg =    455, deg = 10 */    281,    472,    744,   1227,   1575,   3268,   3725,   8210,   9117,   9118, 
/* msg =    456, deg = 10 */     51,    406,    832,   1109,   1511,   2995,   3805,   7231,   9119,   9120, 
/* msg =    457, deg = 10 */     43,    384,    970,   1365,   1491,   2568,   4224,   7607,   9120,   9121, 
/* msg =    458, deg = 10 */    178,    652,    748,   1376,   1468,   3112,   4973,   8290,   9121,   9122, 
/* msg =    459, deg = 10 */    161,    387,    760,   1141,   1685,   2298,   4714,   7842,   9122,   9123, 
/* msg =    460, deg = 10 */    145,    410,    826,   1330,   1604,   1989,   5291,   8155,   9123,   9124, 
/* msg =    461, deg = 10 */    289,    405,    816,   1182,   1468,   3019,   4431,   6870,   9124,   9125, 
/* msg =    462, deg = 10 */    355,    658,    824,   1140,   1791,   3333,   4086,   6897,   9125,   9126, 
/* msg =    463, deg = 10 */    288,    387,    846,   1147,   1784,   3488,   5643,   7224,   9126,   9127, 
/* msg =    464, deg = 10 */    210,    415,    819,   1110,   1480,   1835,   5923,   7147,   9127,   9128, 
/* msg =    465, deg = 10 */      5,    471,    848,   1303,   1779,   2751,   4457,   8063,   9128,   9129, 
/* msg =    466, deg = 10 */     41,    391,    806,   1436,   1468,   2672,   5655,   8615,   9129,   9130, 
/* msg =    467, deg = 10 */    137,    465,    964,   1128,   1781,   2203,   5990,   6513,   9130,   9131, 
/* msg =    468, deg = 10 */    112,    476,    787,   1186,   1761,   1984,   4605,   8308,   9131,   9132, 
/* msg =    469, deg = 10 */      3,    529,    969,   1304,   1455,   2186,   5338,   6423,   9132,   9133, 
/* msg =    470, deg = 10 */     22,    397,    772,   1365,   1476,   2571,   3623,   6212,   9133,   9134, 
/* msg =    471, deg = 10 */    280,    654,    875,   1394,   1766,   2257,   4722,   6179,   9134,   9135, 
/* msg =    472, deg = 10 */    170,    433,    868,   1137,   1617,   2935,   5257,   7618,   9135,   9136, 
/* msg =    473, deg = 10 */    183,    509,    899,   1350,   1463,   1824,   3999,   6538,   9136,   9137, 
/* msg =    474, deg = 10 */    322,    614,    756,   1104,   1480,   3287,   5463,   6625,   9137,   9138, 
/* msg =    475, deg = 10 */    282,    473,    745,   1228,   1576,   3269,   3726,   8211,   9138,   9139, 
/* msg =    476, deg = 10 */     52,    407,    833,   1110,   1512,   2996,   3806,   7232,   9140,   9141, 
/* msg =    477, deg = 10 */     44,    385,    971,   1366,   1492,   2569,   4225,   7608,   9141,   9142, 
/* msg =    478, deg = 10 */    179,    653,    749,   1377,   1469,   3113,   4974,   8291,   9142,   9143, 
/* msg =    479, deg = 10 */    162,    388,    761,   1142,   1686,   2299,   4715,   7843,   9143,   9144, 
/* msg =    480, deg = 10 */    146,    411,    827,   1331,   1605,   1990,   5292,   8156,   9144,   9145, 
/* msg =    481, deg = 10 */    290,    406,    817,   1183,   1469,   3020,   4432,   6871,   9145,   9146, 
/* msg =    482, deg = 10 */    356,    659,    825,   1141,   1792,   3334,   4087,   6898,   9146,   9147, 
/* msg =    483, deg = 10 */    289,    388,    847,   1148,   1785,   3489,   5644,   7225,   9147,   9148, 
/* msg =    484, deg = 10 */    211,    416,    820,   1111,   1481,   1836,   5924,   7148,   9148,   9149, 
/* msg =    485, deg = 10 */      6,    472,    849,   1304,   1780,   2752,   4458,   8064,   9149,   9150, 
/* msg =    486, deg = 10 */     42,    392,    807,   1437,   1469,   2673,   5656,   8616,   9150,   9151, 
/* msg =    487, deg = 10 */    138,    466,    965,   1129,   1782,   2204,   5991,   6514,   9151,   9152, 
/* msg =    488, deg = 10 */    113,    477,    788,   1187,   1762,   1985,   4606,   8309,   9152,   9153, 
/* msg =    489, deg = 10 */      4,    530,    970,   1305,   1456,   2187,   5339,   6424,   9153,   9154, 
/* msg =    490, deg = 10 */     23,    398,    773,   1366,   1477,   2572,   3624,   6213,   9154,   9155, 
/* msg =    491, deg = 10 */    281,    655,    876,   1395,   1767,   2258,   4723,   6180,   9155,   9156, 
/* msg =    492, deg = 10 */    171,    434,    869,   1138,   1618,   2936,   5258,   7619,   9156,   9157, 
/* msg =    493, deg = 10 */    184,    510,    900,   1351,   1464,   1825,   4000,   6539,   9157,   9158, 
/* msg =    494, deg = 10 */    323,    615,    757,   1105,   1481,   3288,   5464,   6626,   9158,   9159, 
/* msg =    495, deg = 10 */    283,    474,    746,   1229,   1577,   3270,   3727,   8212,   9159,   9160, 
/* msg =    496, deg = 10 */     53,    408,    834,   1111,   1513,   2997,   3807,   7233,   9161,   9162, 
/* msg =    497, deg = 10 */     45,    386,    972,   1367,   1493,   2570,   4226,   7609,   9162,   9163, 
/* msg =    498, deg = 10 */    180,    654,    750,   1378,   1470,   3114,   4975,   8292,   9163,   9164, 
/* msg =    499, deg = 10 */    163,    389,    762,   1143,   1687,   2300,   4716,   7844,   9164,   9165, 
/* msg =    500, deg = 10 */    147,    412,    828,   1332,   1606,   1991,   5293,   8157,   9165,   9166, 
/* msg =    501, deg = 10 */    291,    407,    818,   1184,   1470,   3021,   4433,   6872,   9166,   9167, 
/* msg =    502, deg = 10 */    357,    660,    826,   1142,   1793,   3335,   4088,   6899,   9167,   9168, 
/* msg =    503, deg = 10 */    290,    389,    848,   1149,   1786,   3490,   5645,   7226,   9168,   9169, 
/* msg =    504, deg = 10 */    212,    417,    821,   1112,   1482,   1837,   5925,   7149,   9169,   9170, 
/* msg =    505, deg = 10 */      7,    473,    850,   1305,   1781,   2753,   4459,   8065,   9170,   9171, 
/* msg =    506, deg = 10 */     43,    393,    808,   1438,   1470,   2674,   5657,   8617,   9171,   9172, 
/* msg =    507, deg = 10 */    139,    467,    966,   1130,   1783,   2205,   5992,   6515,   9172,   9173, 
/* msg =    508, deg = 10 */    114,    478,    789,   1188,   1763,   1986,   4607,   8310,   9173,   9174, 
/* msg =    509, deg = 10 */      5,    531,    971,   1306,   1457,   2188,   5340,   6425,   9174,   9175, 
/* msg =    510, deg = 10 */     24,    399,    774,   1367,   1478,   2573,   3625,   6214,   9175,   9176, 
/* msg =    511, deg = 10 */    282,    656,    877,   1396,   1768,   2259,   4724,   6181,   9176,   9177, 
/* msg =    512, deg = 10 */    172,    435,    870,   1139,   1619,   2937,   5259,   7620,   9177,   9178, 
/* msg =    513, deg = 10 */    185,    511,    901,   1352,   1465,   1826,   4001,   6540,   9178,   9179, 
/* msg =    514, deg = 10 */    324,    616,    758,   1106,   1482,   3289,   5465,   6627,   9179,   9180, 
/* msg =    515, deg = 10 */    284,    475,    747,   1230,   1578,   3271,   3728,   8213,   9180,   9181, 
/* msg =    516, deg = 10 */     54,    409,    835,   1112,   1514,   2998,   3808,   7234,   9182,   9183, 
/* msg =    517, deg = 10 */     46,    387,    973,   1368,   1494,   2571,   4227,   7610,   9183,   9184, 
/* msg =    518, deg = 10 */    181,    655,    751,   1379,   1471,   3115,   4976,   8293,   9184,   9185, 
/* msg =    519, deg = 10 */    164,    390,    763,   1144,   1688,   2301,   4717,   7845,   9185,   9186, 
/* msg =    520, deg = 10 */    148,    413,    829,   1333,   1607,   1992,   5294,   8158,   9186,   9187, 
/* msg =    521, deg = 10 */    292,    408,    819,   1185,   1471,   3022,   4434,   6873,   9187,   9188, 
/* msg =    522, deg = 10 */    358,    661,    827,   1143,   1794,   3336,   4089,   6900,   9188,   9189, 
/* msg =    523, deg = 10 */    291,    390,    849,   1150,   1787,   3491,   5646,   7227,   9189,   9190, 
/* msg =    524, deg = 10 */    213,    418,    822,   1113,   1483,   1838,   5926,   7150,   9190,   9191, 
/* msg =    525, deg = 10 */      8,    474,    851,   1306,   1782,   2754,   4460,   8066,   9191,   9192, 
/* msg =    526, deg = 10 */     44,    394,    809,   1439,   1471,   2675,   5658,   8618,   9192,   9193, 
/* msg =    527, deg = 10 */    140,    468,    967,   1131,   1784,   2206,   5993,   6516,   9193,   9194, 
/* msg =    528, deg = 10 */    115,    479,    790,   1189,   1764,   1987,   4608,   8311,   9194,   9195, 
/* msg =    529, deg = 10 */      6,    532,    972,   1307,   1458,   2189,   5341,   6426,   9195,   9196, 
/* msg =    530, deg = 10 */     25,    400,    775,   1368,   1479,   2574,   3626,   6215,   9196,   9197, 
/* msg =    531, deg = 10 */    283,    657,    878,   1397,   1769,   2260,   4725,   6182,   9197,   9198, 
/* msg =    532, deg = 10 */    173,    436,    871,   1140,   1620,   2938,   5260,   7621,   9198,   9199, 
/* msg =    533, deg = 10 */    186,    512,    902,   1353,   1466,   1827,   4002,   6541,   9199,   9200, 
/* msg =    534, deg = 10 */    325,    617,    759,   1107,   1483,   3290,   5466,   6628,   9200,   9201, 
/* msg =    535, deg = 10 */    285,    476,    748,   1231,   1579,   3272,   3729,   8214,   9201,   9202, 
/* msg =    536, deg = 10 */     55,    410,    836,   1113,   1515,   2999,   3809,   7235,   9203,   9204, 
/* msg =    537, deg = 10 */     47,    388,    974,   1369,   1495,   2572,   4228,   7611,   9204,   9205, 
/* msg =    538, deg = 10 */    182,    656,    752,   1380,   1472,   3116,   4977,   8294,   9205,   9206, 
/* msg =    539, deg = 10 */    165,    391,    764,   1145,   1689,   2302,   4718,   7846,   9206,   9207, 
/* msg =    540, deg = 10 */    149,    414,    830,   1334,   1608,   1993,   5295,   8159,   9207,   9208, 
/* msg =    541, deg = 10 */    293,    409,    820,   1186,   1472,   3023,   4435,   6874,   9208,   9209, 
/* msg =    542, deg = 10 */    359,    662,    828,   1144,   1795,   3337,   4090,   6901,   9209,   9210, 
/* msg =    543, deg = 10 */    292,    391,    850,   1151,   1788,   3492,   5647,   7228,   9210,   9211, 
/* msg =    544, deg = 10 */    214,    419,    823,   1114,   1484,   1839,   5927,   7151,   9211,   9212, 
/* msg =    545, deg = 10 */      9,    475,    852,   1307,   1783,   2755,   4461,   8067,   9212,   9213, 
/* msg =    546, deg = 10 */     45,    395,    810,   1080,   1472,   2676,   5659,   8619,   9213,   9214, 
/* msg =    547, deg = 10 */    141,    469,    968,   1132,   1785,   2207,   5994,   6517,   9214,   9215, 
/* msg =    548, deg = 10 */    116,    480,    791,   1190,   1765,   1988,   4609,   8312,   9215,   9216, 
/* msg =    549, deg = 10 */      7,    533,    973,   1308,   1459,   2190,   5342,   6427,   9216,   9217, 
/* msg =    550, deg = 10 */     26,    401,    776,   1369,   1480,   2575,   3627,   6216,   9217,   9218, 
/* msg =    551, deg = 10 */    284,    658,    879,   1398,   1770,   2261,   4726,   6183,   9218,   9219, 
/* msg =    552, deg = 10 */    174,    437,    872,   1141,   1621,   2939,   5261,   7622,   9219,   9220, 
/* msg =    553, deg = 10 */    187,    513,    903,   1354,   1467,   1828,   4003,   6542,   9220,   9221, 
/* msg =    554, deg = 10 */    326,    618,    760,   1108,   1484,   3291,   5467,   6629,   9221,   9222, 
/* msg =    555, deg = 10 */    286,    477,    749,   1232,   1580,   3273,   3730,   8215,   9222,   9223, 
/* msg =    556, deg = 10 */     56,    411,    837,   1114,   1516,   3000,   3810,   7236,   9224,   9225, 
/* msg =    557, deg = 10 */     48,    389,    975,   1370,   1496,   2573,   4229,   7612,   9225,   9226, 
/* msg =    558, deg = 10 */    183,    657,    753,   1381,   1473,   3117,   4978,   8295,   9226,   9227, 
/* msg =    559, deg = 10 */    166,    392,    765,   1146,   1690,   2303,   4719,   7847,   9227,   9228, 
/* msg =    560, deg = 10 */    150,    415,    831,   1335,   1609,   1994,   5296,   8160,   9228,   9229, 
/* msg =    561, deg = 10 */    294,    410,    821,   1187,   1473,   3024,   4436,   6875,   9229,   9230, 
/* msg =    562, deg = 10 */      0,    663,    829,   1145,   1796,   3338,   4091,   6902,   9230,   9231, 
/* msg =    563, deg = 10 */    293,    392,    851,   1152,   1789,   3493,   5648,   7229,   9231,   9232, 
/* msg =    564, deg = 10 */    215,    420,    824,   1115,   1485,   1840,   5928,   7152,   9232,   9233, 
/* msg =    565, deg = 10 */     10,    476,    853,   1308,   1784,   2756,   4462,   8068,   9233,   9234, 
/* msg =    566, deg = 10 */     46,    396,    811,   1081,   1473,   2677,   5660,   8620,   9234,   9235, 
/* msg =    567, deg = 10 */    142,    470,    969,   1133,   1786,   2208,   5995,   6518,   9235,   9236, 
/* msg =    568, deg = 10 */    117,    481,    792,   1191,   1766,   1989,   4610,   8313,   9236,   9237, 
/* msg =    569, deg = 10 */      8,    534,    974,   1309,   1460,   2191,   5343,   6428,   9237,   9238, 
/* msg =    570, deg = 10 */     27,    402,    777,   1370,   1481,   2576,   3628,   6217,   9238,   9239, 
/* msg =    571, deg = 10 */    285,    659,    880,   1399,   1771,   2262,   4727,   6184,   9239,   9240, 
/* msg =    572, deg = 10 */    175,    438,    873,   1142,   1622,   2940,   5262,   7623,   9240,   9241, 
/* msg =    573, deg = 10 */    188,    514,    904,   1355,   1468,   1829,   4004,   6543,   9241,   9242, 
/* msg =    574, deg = 10 */    327,    619,    761,   1109,   1485,   3292,   5468,   6630,   9242,   9243, 
/* msg =    575, deg = 10 */    287,    478,    750,   1233,   1581,   3274,   3731,   8216,   9243,   9244, 
/* msg =    576, deg = 10 */     57,    412,    838,   1115,   1517,   3001,   3811,   7237,   9245,   9246, 
/* msg =    577, deg = 10 */     49,    390,    976,   1371,   1497,   2574,   4230,   7613,   9246,   9247, 
/* msg =    578, deg = 10 */    184,    658,    754,   1382,   1474,   3118,   4979,   8296,   9247,   9248, 
/* msg =    579, deg = 10 */    167,    393,    766,   1147,   1691,   2304,   4720,   7848,   9248,   9249, 
/* msg =    580, deg = 10 */    151,    416,    832,   1336,   1610,   1995,   5297,   8161,   9249,   9250, 
/* msg =    581, deg = 10 */    295,    411,    822,   1188,   1474,   3025,   4437,   6876,   9250,   9251, 
/* msg =    582, deg = 10 */      1,    664,    830,   1146,   1797,   3339,   4092,   6903,   9251,   9252, 
/* msg =    583, deg = 10 */    294,    393,    852,   1153,   1790,   3494,   5649,   7230,   9252,   9253, 
/* msg =    584, deg = 10 */    216,    421,    825,   1116,   1486,   1841,   5929,   7153,   9253,   9254, 
/* msg =    585, deg = 10 */     11,    477,    854,   1309,   1785,   2757,   4463,   8069,   9254,   9255, 
/* msg =    586, deg = 10 */     47,    397,    812,   1082,   1474,   2678,   5661,   8621,   9255,   9256, 
/* msg =    587, deg = 10 */    143,    471,    970,   1134,   1787,   2209,   5996,   6519,   9256,   9257, 
/* msg =    588, deg = 10 */    118,    482,    793,   1192,   1767,   1990,   4611,   8314,   9257,   9258, 
/* msg =    589, deg = 10 */      9,    535,    975,   1310,   1461,   2192,   5344,   6429,   9258,   9259, 
/* msg =    590, deg = 10 */     28,    403,    778,   1371,   1482,   2577,   3629,   6218,   9259,   9260, 
/* msg =    591, deg = 10 */    286,    660,    881,   1400,   1772,   2263,   4728,   6185,   9260,   9261, 
/* msg =    592, deg = 10 */    176,    439,    874,   1143,   1623,   2941,   5263,   7624,   9261,   9262, 
/* msg =    593, deg = 10 */    189,    515,    905,   1356,   1469,   1830,   4005,   6544,   9262,   9263, 
/* msg =    594, deg = 10 */    328,    620,    762,   1110,   1486,   3293,   5469,   6631,   9263,   9264, 
/* msg =    595, deg = 10 */    288,    479,    751,   1234,   1582,   3275,   3732,   8217,   9264,   9265, 
/* msg =    596, deg = 10 */     58,    413,    839,   1116,   1518,   3002,   3812,   7238,   9266,   9267, 
/* msg =    597, deg = 10 */     50,    391,    977,   1372,   1498,   2575,   4231,   7614,   9267,   9268, 
/* msg =    598, deg = 10 */    185,    659,    755,   1383,   1475,   3119,   4980,   8297,   9268,   9269, 
/* msg =    599, deg = 10 */    168,    394,    767,   1148,   1692,   2305,   4721,   7849,   9269,   9270, 
/* msg =    600, deg = 10 */    152,    417,    833,   1337,   1611,   1996,   5298,   8162,   9270,   9271, 
/* msg =    601, deg = 10 */    296,    412,    823,   1189,   1475,   3026,   4438,   6877,   9271,   9272, 
/* msg =    602, deg = 10 */      2,    665,    831,   1147,   1798,   3340,   4093,   6904,   9272,   9273, 
/* msg =    603, deg = 10 */    295,    394,    853,   1154,   1791,   3495,   5650,   7231,   9273,   9274, 
/* msg =    604, deg = 10 */    217,    422,    826,   1117,   1487,   1842,   5930,   7154,   9274,   9275, 
/* msg =    605, deg = 10 */     12,    478,    855,   1310,   1786,   2758,   4464,   8070,   9275,   9276, 
/* msg =    606, deg = 10 */     48,    398,    813,   1083,   1475,   2679,   5662,   8622,   9276,   9277, 
/* msg =    607, deg = 10 */    144,    472,    971,   1135,   1788,   2210,   5997,   6520,   9277,   9278, 
/* msg =    608, deg = 10 */    119,    483,    794,   1193,   1768,   1991,   4612,   8315,   9278,   9279, 
/* msg =    609, deg = 10 */     10,    536,    976,   1311,   1462,   2193,   5345,   6430,   9279,   9280, 
/* msg =    610, deg = 10 */     29,    404,    779,   1372,   1483,   2578,   3630,   6219,   9280,   9281, 
/* msg =    611, deg = 10 */    287,    661,    882,   1401,   1773,   2264,   4729,   6186,   9281,   9282, 
/* msg =    612, deg = 10 */    177,    440,    875,   1144,   1624,   2942,   5264,   7625,   9282,   9283, 
/* msg =    613, deg = 10 */    190,    516,    906,   1357,   1470,   1831,   4006,   6545,   9283,   9284, 
/* msg =    614, deg = 10 */    329,    621,    763,   1111,   1487,   3294,   5470,   6632,   9284,   9285, 
/* msg =    615, deg = 10 */    289,    480,    752,   1235,   1583,   3276,   3733,   8218,   9285,   9286, 
/* msg =    616, deg = 10 */     59,    414,    840,   1117,   1519,   3003,   3813,   7239,   9287,   9288, 
/* msg =    617, deg = 10 */     51,    392,    978,   1373,   1499,   2576,   4232,   7615,   9288,   9289, 
/* msg =    618, deg = 10 */    186,    660,    756,   1384,   1476,   3120,   4981,   8298,   9289,   9290, 
/* msg =    619, deg = 10 */    169,    395,    768,   1149,   1693,   2306,   4722,   7850,   9290,   9291, 
/* msg =    620, deg = 10 */    153,    418,    834,   1338,   1612,   1997,   5299,   8163,   9291,   9292, 
/* msg =    621, deg = 10 */    297,    413,    824,   1190,   1476,   3027,   4439,   6878,   9292,   9293, 
/* msg =    622, deg = 10 */      3,    666,    832,   1148,   1799,   3341,   4094,   6905,   9293,   9294, 
/* msg =    623, deg = 10 */    296,    395,    854,   1155,   1792,   3496,   5651,   7232,   9294,   9295, 
/* msg =    624, deg = 10 */    218,    423,    827,   1118,   1488,   1843,   5931,   7155,   9295,   9296, 
/* msg =    625, deg = 10 */     13,    479,    856,   1311,   1787,   2759,   4465,   8071,   9296,   9297, 
/* msg =    626, deg = 10 */     49,    399,    814,   1084,   1476,   2680,   5663,   8623,   9297,   9298, 
/* msg =    627, deg = 10 */    145,    473,    972,   1136,   1789,   2211,   5998,   6521,   9298,   9299, 
/* msg =    628, deg = 10 */    120,    484,    795,   1194,   1769,   1992,   4613,   8316,   9299,   9300, 
/* msg =    629, deg = 10 */     11,    537,    977,   1312,   1463,   2194,   5346,   6431,   9300,   9301, 
/* msg =    630, deg = 10 */     30,    405,    780,   1373,   1484,   2579,   3631,   6220,   9301,   9302, 
/* msg =    631, deg = 10 */    288,    662,    883,   1402,   1774,   2265,   4730,   6187,   9302,   9303, 
/* msg =    632, deg = 10 */    178,    441,    876,   1145,   1625,   2943,   5265,   7626,   9303,   9304, 
/* msg =    633, deg = 10 */    191,    517,    907,   1358,   1471,   1832,   4007,   6546,   9304,   9305, 
/* msg =    634, deg = 10 */    330,    622,    764,   1112,   1488,   3295,   5471,   6633,   9305,   9306, 
/* msg =    635, deg = 10 */    290,    481,    753,   1236,   1584,   3277,   3734,   8219,   9306,   9307, 
/* msg =    636, deg = 10 */     60,    415,    841,   1118,   1520,   3004,   3814,   7240,   9308,   9309, 
/* msg =    637, deg = 10 */     52,    393,    979,   1374,   1500,   2577,   4233,   7616,   9309,   9310, 
/* msg =    638, deg = 10 */    187,    661,    757,   1385,   1477,   3121,   4982,   8299,   9310,   9311, 
/* msg =    639, deg = 10 */    170,    396,    769,   1150,   1694,   2307,   4723,   7851,   9311,   9312, 
/* msg =    640, deg = 10 */    154,    419,    835,   1339,   1613,   1998,   5300,   8164,   9312,   9313, 
/* msg =    641, deg = 10 */    298,    414,    825,   1191,   1477,   3028,   4440,   6879,   9313,   9314, 
/* msg =    642, deg = 10 */      4,    667,    833,   1149,   1440,   3342,   4095,   6906,   9314,   9315, 
/* msg =    643, deg = 10 */    297,    396,    855,   1156,   1793,   3497,   5652,   7233,   9315,   9316, 
/* msg =    644, deg = 10 */    219,    424,    828,   1119,   1489,   1844,   5932,   7156,   9316,   9317, 
/* msg =    645, deg = 10 */     14,    480,    857,   1312,   1788,   2760,   4466,   8072,   9317,   9318, 
/* msg =    646, deg = 10 */     50,    400,    815,   1085,   1477,   2681,   5664,   8624,   9318,   9319, 
/* msg =    647, deg = 10 */    146,    474,    973,   1137,   1790,   2212,   5999,   6522,   9319,   9320, 
/* msg =    648, deg = 10 */    121,    485,    796,   1195,   1770,   1993,   4614,   8317,   9320,   9321, 
/* msg =    649, deg = 10 */     12,    538,    978,   1313,   1464,   2195,   5347,   6432,   9321,   9322, 
/* msg =    650, deg = 10 */     31,    406,    781,   1374,   1485,   2580,   3632,   6221,   9322,   9323, 
/* msg =    651, deg = 10 */    289,    663,    884,   1403,   1775,   2266,   4731,   6188,   9323,   9324, 
/* msg =    652, deg = 10 */    179,    442,    877,   1146,   1626,   2944,   5266,   7627,   9324,   9325, 
/* msg =    653, deg = 10 */    192,    518,    908,   1359,   1472,   1833,   4008,   6547,   9325,   9326, 
/* msg =    654, deg = 10 */    331,    623,    765,   1113,   1489,   3296,   5472,   6634,   9326,   9327, 
/* msg =    655, deg = 10 */    291,    482,    754,   1237,   1585,   3278,   3735,   8220,   9327,   9328, 
/* msg =    656, deg = 10 */     61,    416,    842,   1119,   1521,   3005,   3815,   7241,   9329,   9330, 
/* msg =    657, deg = 10 */     53,    394,    980,   1375,   1501,   2578,   4234,   7617,   9330,   9331, 
/* msg =    658, deg = 10 */    188,    662,    758,   1386,   1478,   3122,   4983,   8300,   9331,   9332, 
/* msg =    659, deg = 10 */    171,    397,    770,   1151,   1695,   2308,   4724,   7852,   9332,   9333, 
/* msg =    660, deg = 10 */    155,    420,    836,   1340,   1614,   1999,   5301,   8165,   9333,   9334, 
/* msg =    661, deg = 10 */    299,    415,    826,   1192,   1478,   3029,   4441,   6880,   9334,   9335, 
/* msg =    662, deg = 10 */      5,    668,    834,   1150,   1441,   3343,   4096,   6907,   9335,   9336, 
/* msg =    663, deg = 10 */    298,    397,    856,   1157,   1794,   3498,   5653,   7234,   9336,   9337, 
/* msg =    664, deg = 10 */    220,    425,    829,   1120,   1490,   1845,   5933,   7157,   9337,   9338, 
/* msg =    665, deg = 10 */     15,    481,    858,   1313,   1789,   2761,   4467,   8073,   9338,   9339, 
/* msg =    666, deg = 10 */     51,    401,    816,   1086,   1478,   2682,   5665,   8625,   9339,   9340, 
/* msg =    667, deg = 10 */    147,    475,    974,   1138,   1791,   2213,   6000,   6523,   9340,   9341, 
/* msg =    668, deg = 10 */    122,    486,    797,   1196,   1771,   1994,   4615,   8318,   9341,   9342, 
/* msg =    669, deg = 10 */     13,    539,    979,   1314,   1465,   2196,   5348,   6433,   9342,   9343, 
/* msg =    670, deg = 10 */     32,    407,    782,   1375,   1486,   2581,   3633,   6222,   9343,   9344, 
/* msg =    671, deg = 10 */    290,    664,    885,   1404,   1776,   2267,   4732,   6189,   9344,   9345, 
/* msg =    672, deg = 10 */    180,    443,    878,   1147,   1627,   2945,   5267,   7628,   9345,   9346, 
/* msg =    673, deg = 10 */    193,    519,    909,   1360,   1473,   1834,   4009,   6548,   9346,   9347, 
/* msg =    674, deg = 10 */    332,    624,    766,   1114,   1490,   3297,   5473,   6635,   9347,   9348, 
/* msg =    675, deg = 10 */    292,    483,    755,   1238,   1586,   3279,   3736,   8221,   9348,   9349, 
/* msg =    676, deg = 10 */     62,    417,    843,   1120,   1522,   3006,   3816,   7242,   9350,   9351, 
/* msg =    677, deg = 10 */     54,    395,    981,   1376,   1502,   2579,   4235,   7618,   9351,   9352, 
/* msg =    678, deg = 10 */    189,    663,    759,   1387,   1479,   3123,   4984,   8301,   9352,   9353, 
/* msg =    679, deg = 10 */    172,    398,    771,   1152,   1696,   2309,   4725,   7853,   9353,   9354, 
/* msg =    680, deg = 10 */    156,    421,    837,   1341,   1615,   2000,   5302,   8166,   9354,   9355, 
/* msg =    681, deg = 10 */    300,    416,    827,   1193,   1479,   3030,   4442,   6881,   9355,   9356, 
/* msg =    682, deg = 10 */      6,    669,    835,   1151,   1442,   3344,   4097,   6908,   9356,   9357, 
/* msg =    683, deg = 10 */    299,    398,    857,   1158,   1795,   3499,   5654,   7235,   9357,   9358, 
/* msg =    684, deg = 10 */    221,    426,    830,   1121,   1491,   1846,   5934,   7158,   9358,   9359, 
/* msg =    685, deg = 10 */     16,    482,    859,   1314,   1790,   2762,   4468,   8074,   9359,   9360, 
/* msg =    686, deg = 10 */     52,    402,    817,   1087,   1479,   2683,   5666,   8626,   9360,   9361, 
/* msg =    687, deg = 10 */    148,    476,    975,   1139,   1792,   2214,   6001,   6524,   9361,   9362, 
/* msg =    688, deg = 10 */    123,    487,    798,   1197,   1772,   1995,   4616,   8319,   9362,   9363, 
/* msg =    689, deg = 10 */     14,    540,    980,   1315,   1466,   2197,   5349,   6434,   9363,   9364, 
/* msg =    690, deg = 10 */     33,    408,    783,   1376,   1487,   2582,   3634,   6223,   9364,   9365, 
/* msg =    691, deg = 10 */    291,    665,    886,   1405,   1777,   2268,   4733,   6190,   9365,   9366, 
/* msg =    692, deg = 10 */    181,    444,    879,   1148,   1628,   2946,   5268,   7629,   9366,   9367, 
/* msg =    693, deg = 10 */    194,    520,    910,   1361,   1474,   1835,   4010,   6549,   9367,   9368, 
/* msg =    694, deg = 10 */    333,    625,    767,   1115,   1491,   3298,   5474,   6636,   9368,   9369, 
/* msg =    695, deg = 10 */    293,    484,    756,   1239,   1587,   3280,   3737,   8222,   9369,   9370, 
/* msg =    696, deg = 10 */     63,    418,    844,   1121,   1523,   3007,   3817,   7243,   9371,   9372, 
/* msg =    697, deg = 10 */     55,    396,    982,   1377,   1503,   2580,   4236,   7619,   9372,   9373, 
/* msg =    698, deg = 10 */    190,    664,    760,   1388,   1480,   3124,   4985,   8302,   9373,   9374, 
/* msg =    699, deg = 10 */    173,    399,    772,   1153,   1697,   2310,   4726,   7854,   9374,   9375, 
/* msg =    700, deg = 10 */    157,    422,    838,   1342,   1616,   2001,   5303,   8167,   9375,   9376, 
/* msg =    701, deg = 10 */    301,    417,    828,   1194,   1480,   3031,   4443,   6882,   9376,   9377, 
/* msg =    702, deg = 10 */      7,    670,    836,   1152,   1443,   3345,   4098,   6909,   9377,   9378, 
/* msg =    703, deg = 10 */    300,    399,    858,   1159,   1796,   3500,   5655,   7236,   9378,   9379, 
/* msg =    704, deg = 10 */    222,    427,    831,   1122,   1492,   1847,   5935,   7159,   9379,   9380, 
/* msg =    705, deg = 10 */     17,    483,    860,   1315,   1791,   2763,   4469,   8075,   9380,   9381, 
/* msg =    706, deg = 10 */     53,    403,    818,   1088,   1480,   2684,   5667,   8627,   9381,   9382, 
/* msg =    707, deg = 10 */    149,    477,    976,   1140,   1793,   2215,   6002,   6525,   9382,   9383, 
/* msg =    708, deg = 10 */    124,    488,    799,   1198,   1773,   1996,   4617,   8320,   9383,   9384, 
/* msg =    709, deg = 10 */     15,    541,    981,   1316,   1467,   2198,   5350,   6435,   9384,   9385, 
/* msg =    710, deg = 10 */     34,    409,    784,   1377,   1488,   2583,   3635,   6224,   9385,   9386, 
/* msg =    711, deg = 10 */    292,    666,    887,   1406,   1778,   2269,   4734,   6191,   9386,   9387, 
/* msg =    712, deg = 10 */    182,    445,    880,   1149,   1629,   2947,   5269,   7630,   9387,   9388, 
/* msg =    713, deg = 10 */    195,    521,    911,   1362,   1475,   1836,   4011,   6550,   9388,   9389, 
/* msg =    714, deg = 10 */    334,    626,    768,   1116,   1492,   3299,   5475,   6637,   9389,   9390, 
/* msg =    715, deg = 10 */    294,    485,    757,   1240,   1588,   3281,   3738,   8223,   9390,   9391, 
/* msg =    716, deg = 10 */     64,    419,    845,   1122,   1524,   3008,   3818,   7244,   9392,   9393, 
/* msg =    717, deg = 10 */     56,    397,    983,   1378,   1504,   2581,   4237,   7620,   9393,   9394, 
/* msg =    718, deg = 10 */    191,    665,    761,   1389,   1481,   3125,   4986,   8303,   9394,   9395, 
/* msg =    719, deg = 10 */    174,    400,    773,   1154,   1698,   2311,   4727,   7855,   9395,   9396, 
/* msg =    720, deg = 10 */    158,    423,    839,   1343,   1617,   2002,   5304,   8168,   9396,   9397, 
/* msg =    721, deg = 10 */    302,    418,    829,   1195,   1481,   3032,   4444,   6883,   9397,   9398, 
/* msg =    722, deg = 10 */      8,    671,    837,   1153,   1444,   3346,   4099,   6910,   9398,   9399, 
/* msg =    723, deg = 10 */    301,    400,    859,   1160,   1797,   3501,   5656,   7237,   9399,   9400, 
/* msg =    724, deg = 10 */    223,    428,    832,   1123,   1493,   1848,   5936,   7160,   9400,   9401, 
/* msg =    725, deg = 10 */     18,    484,    861,   1316,   1792,   2764,   4470,   8076,   9401,   9402, 
/* msg =    726, deg = 10 */     54,    404,    819,   1089,   1481,   2685,   5668,   8628,   9402,   9403, 
/* msg =    727, deg = 10 */    150,    478,    977,   1141,   1794,   2216,   6003,   6526,   9403,   9404, 
/* msg =    728, deg = 10 */    125,    489,    800,   1199,   1774,   1997,   4618,   8321,   9404,   9405, 
/* msg =    729, deg = 10 */     16,    542,    982,   1317,   1468,   2199,   5351,   6436,   9405,   9406, 
/* msg =    730, deg = 10 */     35,    410,    785,   1378,   1489,   2584,   3636,   6225,   9406,   9407, 
/* msg =    731, deg = 10 */    293,    667,    888,   1407,   1779,   2270,   4735,   6192,   9407,   9408, 
/* msg =    732, deg = 10 */    183,    446,    881,   1150,   1630,   2948,   5270,   7631,   9408,   9409, 
/* msg =    733, deg = 10 */    196,    522,    912,   1363,   1476,   1837,   4012,   6551,   9409,   9410, 
/* msg =    734, deg = 10 */    335,    627,    769,   1117,   1493,   3300,   5476,   6638,   9410,   9411, 
/* msg =    735, deg = 10 */    295,    486,    758,   1241,   1589,   3282,   3739,   8224,   9411,   9412, 
/* msg =    736, deg = 10 */     65,    420,    846,   1123,   1525,   3009,   3819,   7245,   9413,   9414, 
/* msg =    737, deg = 10 */     57,    398,    984,   1379,   1505,   2582,   4238,   7621,   9414,   9415, 
/* msg =    738, deg = 10 */    192,    666,    762,   1390,   1482,   3126,   4987,   8304,   9415,   9416, 
/* msg =    739, deg = 10 */    175,    401,    774,   1155,   1699,   2312,   4728,   7856,   9416,   9417, 
/* msg =    740, deg = 10 */    159,    424,    840,   1344,   1618,   2003,   5305,   8169,   9417,   9418, 
/* msg =    741, deg = 10 */    303,    419,    830,   1196,   1482,   3033,   4445,   6884,   9418,   9419, 
/* msg =    742, deg = 10 */      9,    672,    838,   1154,   1445,   3347,   4100,   6911,   9419,   9420, 
/* msg =    743, deg = 10 */    302,    401,    860,   1161,   1798,   3502,   5657,   7238,   9420,   9421, 
/* msg =    744, deg = 10 */    224,    429,    833,   1124,   1494,   1849,   5937,   7161,   9421,   9422, 
/* msg =    745, deg = 10 */     19,    485,    862,   1317,   1793,   2765,   4471,   8077,   9422,   9423, 
/* msg =    746, deg = 10 */     55,    405,    820,   1090,   1482,   2686,   5669,   8629,   9423,   9424, 
/* msg =    747, deg = 10 */    151,    479,    978,   1142,   1795,   2217,   6004,   6527,   9424,   9425, 
/* msg =    748, deg = 10 */    126,    490,    801,   1200,   1775,   1998,   4619,   8322,   9425,   9426, 
/* msg =    749, deg = 10 */     17,    543,    983,   1318,   1469,   2200,   5352,   6437,   9426,   9427, 
/* msg =    750, deg = 10 */     36,    411,    786,   1379,   1490,   2585,   3637,   6226,   9427,   9428, 
/* msg =    751, deg = 10 */    294,    668,    889,   1408,   1780,   2271,   4736,   6193,   9428,   9429, 
/* msg =    752, deg = 10 */    184,    447,    882,   1151,   1631,   2949,   5271,   7632,   9429,   9430, 
/* msg =    753, deg = 10 */    197,    523,    913,   1364,   1477,   1838,   4013,   6552,   9430,   9431, 
/* msg =    754, deg = 10 */    336,    628,    770,   1118,   1494,   3301,   5477,   6639,   9431,   9432, 
/* msg =    755, deg = 10 */    296,    487,    759,   1242,   1590,   3283,   3740,   8225,   9432,   9433, 
/* msg =    756, deg = 10 */     66,    421,    847,   1124,   1526,   3010,   3820,   7246,   9434,   9435, 
/* msg =    757, deg = 10 */     58,    399,    985,   1380,   1506,   2583,   4239,   7622,   9435,   9436, 
/* msg =    758, deg = 10 */    193,    667,    763,   1391,   1483,   3127,   4988,   8305,   9436,   9437, 
/* msg =    759, deg = 10 */    176,    402,    775,   1156,   1700,   2313,   4729,   7857,   9437,   9438, 
/* msg =    760, deg = 10 */    160,    425,    841,   1345,   1619,   2004,   5306,   8170,   9438,   9439, 
/* msg =    761, deg = 10 */    304,    420,    831,   1197,   1483,   3034,   4446,   6885,   9439,   9440, 
/* msg =    762, deg = 10 */     10,    673,    839,   1155,   1446,   3348,   4101,   6912,   9440,   9441, 
/* msg =    763, deg = 10 */    303,    402,    861,   1162,   1799,   3503,   5658,   7239,   9441,   9442, 
/* msg =    764, deg = 10 */    225,    430,    834,   1125,   1495,   1850,   5938,   7162,   9442,   9443, 
/* msg =    765, deg = 10 */     20,    486,    863,   1318,   1794,   2766,   4472,   8078,   9443,   9444, 
/* msg =    766, deg = 10 */     56,    406,    821,   1091,   1483,   2687,   5670,   8630,   9444,   9445, 
/* msg =    767, deg = 10 */    152,    480,    979,   1143,   1796,   2218,   6005,   6528,   9445,   9446, 
/* msg =    768, deg = 10 */    127,    491,    802,   1201,   1776,   1999,   4620,   8323,   9446,   9447, 
/* msg =    769, deg = 10 */     18,    544,    984,   1319,   1470,   2201,   5353,   6438,   9447,   9448, 
/* msg =    770, deg = 10 */     37,    412,    787,   1380,   1491,   2586,   3638,   6227,   9448,   9449, 
/* msg =    771, deg = 10 */    295,    669,    890,   1409,   1781,   2272,   4737,   6194,   9449,   9450, 
/* msg =    772, deg = 10 */    185,    448,    883,   1152,   1632,   2950,   5272,   7633,   9450,   9451, 
/* msg =    773, deg = 10 */    198,    524,    914,   1365,   1478,   1839,   4014,   6553,   9451,   9452, 
/* msg =    774, deg = 10 */    337,    629,    771,   1119,   1495,   3302,   5478,   6640,   9452,   9453, 
/* msg =    775, deg = 10 */    297,    488,    760,   1243,   1591,   3284,   3741,   8226,   9453,   9454, 
/* msg =    776, deg = 10 */     67,    422,    848,   1125,   1527,   3011,   3821,   7247,   9455,   9456, 
/* msg =    777, deg = 10 */     59,    400,    986,   1381,   1507,   2584,   4240,   7623,   9456,   9457, 
/* msg =    778, deg = 10 */    194,    668,    764,   1392,   1484,   3128,   4989,   8306,   9457,   9458, 
/* msg =    779, deg = 10 */    177,    403,    776,   1157,   1701,   2314,   4730,   7858,   9458,   9459, 
/* msg =    780, deg = 10 */    161,    426,    842,   1346,   1620,   2005,   5307,   8171,   9459,   9460, 
/* msg =    781, deg = 10 */    305,    421,    832,   1198,   1484,   3035,   4447,   6886,   9460,   9461, 
/* msg =    782, deg = 10 */     11,    674,    840,   1156,   1447,   3349,   4102,   6913,   9461,   9462, 
/* msg =    783, deg = 10 */    304,    403,    862,   1163,   1440,   3504,   5659,   7240,   9462,   9463, 
/* msg =    784, deg = 10 */    226,    431,    835,   1126,   1496,   1851,   5939,   7163,   9463,   9464, 
/* msg =    785, deg = 10 */     21,    487,    864,   1319,   1795,   2767,   4473,   8079,   9464,   9465, 
/* msg =    786, deg = 10 */     57,    407,    822,   1092,   1484,   2688,   5671,   8631,   9465,   9466, 
/* msg =    787, deg = 10 */    153,    481,    980,   1144,   1797,   2219,   6006,   6529,   9466,   9467, 
/* msg =    788, deg = 10 */    128,    492,    803,   1202,   1777,   2000,   4621,   8324,   9467,   9468, 
/* msg =    789, deg = 10 */     19,    545,    985,   1320,   1471,   2202,   5354,   6439,   9468,   9469, 
/* msg =    790, deg = 10 */     38,    413,    788,   1381,   1492,   2587,   3639,   6228,   9469,   9470, 
/* msg =    791, deg = 10 */    296,    670,    891,   1410,   1782,   2273,   4738,   6195,   9470,   9471, 
/* msg =    792, deg = 10 */    186,    449,    884,   1153,   1633,   2951,   5273,   7634,   9471,   9472, 
/* msg =    793, deg = 10 */    199,    525,    915,   1366,   1479,   1840,   4015,   6554,   9472,   9473, 
/* msg =    794, deg = 10 */    338,    630,    772,   1120,   1496,   3303,   5479,   6641,   9473,   9474, 
/* msg =    795, deg = 10 */    298,    489,    761,   1244,   1592,   3285,   3742,   8227,   9474,   9475, 
/* msg =    796, deg = 10 */     68,    423,    849,   1126,   1528,   3012,   3822,   7248,   9476,   9477, 
/* msg =    797, deg = 10 */     60,    401,    987,   1382,   1508,   2585,   4241,   7624,   9477,   9478, 
/* msg =    798, deg = 10 */    195,    669,    765,   1393,   1485,   3129,   4990,   8307,   9478,   9479, 
/* msg =    799, deg = 10 */    178,    404,    777,   1158,   1702,   2315,   4731,   7859,   9479,   9480, 
/* msg =    800, deg = 10 */    162,    427,    843,   1347,   1621,   2006,   5308,   8172,   9480,   9481, 
/* msg =    801, deg = 10 */    306,    422,    833,   1199,   1485,   3036,   4448,   6887,   9481,   9482, 
/* msg =    802, deg = 10 */     12,    675,    841,   1157,   1448,   3350,   4103,   6914,   9482,   9483, 
/* msg =    803, deg = 10 */    305,    404,    863,   1164,   1441,   3505,   5660,   7241,   9483,   9484, 
/* msg =    804, deg = 10 */    227,    432,    836,   1127,   1497,   1852,   5940,   7164,   9484,   9485, 
/* msg =    805, deg = 10 */     22,    488,    865,   1320,   1796,   2768,   4474,   8080,   9485,   9486, 
/* msg =    806, deg = 10 */     58,    408,    823,   1093,   1485,   2689,   5672,   8632,   9486,   9487, 
/* msg =    807, deg = 10 */    154,    482,    981,   1145,   1798,   2220,   6007,   6530,   9487,   9488, 
/* msg =    808, deg = 10 */    129,    493,    804,   1203,   1778,   2001,   4622,   8325,   9488,   9489, 
/* msg =    809, deg = 10 */     20,    546,    986,   1321,   1472,   2203,   5355,   6440,   9489,   9490, 
/* msg =    810, deg = 10 */     39,    414,    789,   1382,   1493,   2588,   3640,   6229,   9490,   9491, 
/* msg =    811, deg = 10 */    297,    671,    892,   1411,   1783,   2274,   4739,   6196,   9491,   9492, 
/* msg =    812, deg = 10 */    187,    450,    885,   1154,   1634,   2952,   5274,   7635,   9492,   9493, 
/* msg =    813, deg = 10 */    200,    526,    916,   1367,   1480,   1841,   4016,   6555,   9493,   9494, 
/* msg =    814, deg = 10 */    339,    631,    773,   1121,   1497,   3304,   5480,   6642,   9494,   9495, 
/* msg =    815, deg = 10 */    299,    490,    762,   1245,   1593,   3286,   3743,   8228,   9495,   9496, 
/* msg =    816, deg = 10 */     69,    424,    850,   1127,   1529,   3013,   3823,   7249,   9497,   9498, 
/* msg =    817, deg = 10 */     61,    402,    988,   1383,   1509,   2586,   4242,   7625,   9498,   9499, 
/* msg =    818, deg = 10 */    196,    670,    766,   1394,   1486,   3130,   4991,   8308,   9499,   9500, 
/* msg =    819, deg = 10 */    179,    405,    778,   1159,   1703,   2316,   4732,   7860,   9500,   9501, 
/* msg =    820, deg = 10 */    163,    428,    844,   1348,   1622,   2007,   5309,   8173,   9501,   9502, 
/* msg =    821, deg = 10 */    307,    423,    834,   1200,   1486,   3037,   4449,   6888,   9502,   9503, 
/* msg =    822, deg = 10 */     13,    676,    842,   1158,   1449,   3351,   4104,   6915,   9503,   9504, 
/* msg =    823, deg = 10 */    306,    405,    864,   1165,   1442,   3506,   5661,   7242,   9504,   9505, 
/* msg =    824, deg = 10 */    228,    433,    837,   1128,   1498,   1853,   5941,   7165,   9505,   9506, 
/* msg =    825, deg = 10 */     23,    489,    866,   1321,   1797,   2769,   4475,   8081,   9506,   9507, 
/* msg =    826, deg = 10 */     59,    409,    824,   1094,   1486,   2690,   5673,   8633,   9507,   9508, 
/* msg =    827, deg = 10 */    155,    483,    982,   1146,   1799,   2221,   6008,   6531,   9508,   9509, 
/* msg =    828, deg = 10 */    130,    494,    805,   1204,   1779,   2002,   4623,   8326,   9509,   9510, 
/* msg =    829, deg = 10 */     21,    547,    987,   1322,   1473,   2204,   5356,   6441,   9510,   9511, 
/* msg =    830, deg = 10 */     40,    415,    790,   1383,   1494,   2589,   3641,   6230,   9511,   9512, 
/* msg =    831, deg = 10 */    298,    672,    893,   1412,   1784,   2275,   4740,   6197,   9512,   9513, 
/* msg =    832, deg = 10 */    188,    451,    886,   1155,   1635,   2953,   5275,   7636,   9513,   9514, 
/* msg =    833, deg = 10 */    201,    527,    917,   1368,   1481,   1842,   4017,   6556,   9514,   9515, 
/* msg =    834, deg = 10 */    340,    632,    774,   1122,   1498,   3305,   5481,   6643,   9515,   9516, 
/* msg =    835, deg = 10 */    300,    491,    763,   1246,   1594,   3287,   3744,   8229,   9516,   9517, 
/* msg =    836, deg = 10 */     70,    425,    851,   1128,   1530,   3014,   3824,   7250,   9518,   9519, 
/* msg =    837, deg = 10 */     62,    403,    989,   1384,   1510,   2587,   4243,   7626,   9519,   9520, 
/* msg =    838, deg = 10 */    197,    671,    767,   1395,   1487,   3131,   4992,   8309,   9520,   9521, 
/* msg =    839, deg = 10 */    180,    406,    779,   1160,   1704,   2317,   4733,   7861,   9521,   9522, 
/* msg =    840, deg = 10 */    164,    429,    845,   1349,   1623,   2008,   5310,   8174,   9522,   9523, 
/* msg =    841, deg = 10 */    308,    424,    835,   1201,   1487,   3038,   4450,   6889,   9523,   9524, 
/* msg =    842, deg = 10 */     14,    677,    843,   1159,   1450,   3352,   4105,   6916,   9524,   9525, 
/* msg =    843, deg = 10 */    307,    406,    865,   1166,   1443,   3507,   5662,   7243,   9525,   9526, 
/* msg =    844, deg = 10 */    229,    434,    838,   1129,   1499,   1854,   5942,   7166,   9526,   9527, 
/* msg =    845, deg = 10 */     24,    490,    867,   1322,   1798,   2770,   4476,   8082,   9527,   9528, 
/* msg =    846, deg = 10 */     60,    410,    825,   1095,   1487,   2691,   5674,   8634,   9528,   9529, 
/* msg =    847, deg = 10 */    156,    484,    983,   1147,   1440,   2222,   6009,   6532,   9529,   9530, 
/* msg =    848, deg = 10 */    131,    495,    806,   1205,   1780,   2003,   4624,   8327,   9530,   9531, 
/* msg =    849, deg = 10 */     22,    548,    988,   1323,   1474,   2205,   5357,   6442,   9531,   9532, 
/* msg =    850, deg = 10 */     41,    416,    791,   1384,   1495,   2590,   3642,   6231,   9532,   9533, 
/* msg =    851, deg = 10 */    299,    673,    894,   1413,   1785,   2276,   4741,   6198,   9533,   9534, 
/* msg =    852, deg = 10 */    189,    452,    887,   1156,   1636,   2954,   5276,   7637,   9534,   9535, 
/* msg =    853, deg = 10 */    202,    528,    918,   1369,   1482,   1843,   4018,   6557,   9535,   9536, 
/* msg =    854, deg = 10 */    341,    633,    775,   1123,   1499,   3306,   5482,   6644,   9536,   9537, 
/* msg =    855, deg = 10 */    301,    492,    764,   1247,   1595,   3288,   3745,   8230,   9537,   9538, 
/* msg =    856, deg = 10 */     71,    426,    852,   1129,   1531,   3015,   3825,   7251,   9539,   9540, 
/* msg =    857, deg = 10 */     63,    404,    990,   1385,   1511,   2588,   4244,   7627,   9540,   9541, 
/* msg =    858, deg = 10 */    198,    672,    768,   1396,   1488,   3132,   4993,   8310,   9541,   9542, 
/* msg =    859, deg = 10 */    181,    407,    780,   1161,   1705,   2318,   4734,   7862,   9542,   9543, 
/* msg =    860, deg = 10 */    165,    430,    846,   1350,   1624,   2009,   5311,   8175,   9543,   9544, 
/* msg =    861, deg = 10 */    309,    425,    836,   1202,   1488,   3039,   4451,   6890,   9544,   9545, 
/* msg =    862, deg = 10 */     15,    678,    844,   1160,   1451,   3353,   4106,   6917,   9545,   9546, 
/* msg =    863, deg = 10 */    308,    407,    866,   1167,   1444,   3508,   5663,   7244,   9546,   9547, 
/* msg =    864, deg = 10 */    230,    435,    839,   1130,   1500,   1855,   5943,   7167,   9547,   9548, 
/* msg =    865, deg = 10 */     25,    491,    868,   1323,   1799,   2771,   4477,   8083,   9548,   9549, 
/* msg =    866, deg = 10 */     61,    411,    826,   1096,   1488,   2692,   5675,   8635,   9549,   9550, 
/* msg =    867, deg = 10 */    157,    485,    984,   1148,   1441,   2223,   6010,   6533,   9550,   9551, 
/* msg =    868, deg = 10 */    132,    496,    807,   1206,   1781,   2004,   4625,   8328,   9551,   9552, 
/* msg =    869, deg = 10 */     23,    549,    989,   1324,   1475,   2206,   5358,   6443,   9552,   9553, 
/* msg =    870, deg = 10 */     42,    417,    792,   1385,   1496,   2591,   3643,   6232,   9553,   9554, 
/* msg =    871, deg = 10 */    300,    674,    895,   1414,   1786,   2277,   4742,   6199,   9554,   9555, 
/* msg =    872, deg = 10 */    190,    453,    888,   1157,   1637,   2955,   5277,   7638,   9555,   9556, 
/* msg =    873, deg = 10 */    203,    529,    919,   1370,   1483,   1844,   4019,   6558,   9556,   9557, 
/* msg =    874, deg = 10 */    342,    634,    776,   1124,   1500,   3307,   5483,   6645,   9557,   9558, 
/* msg =    875, deg = 10 */    302,    493,    765,   1248,   1596,   3289,   3746,   8231,   9558,   9559, 
/* msg =    876, deg = 10 */     72,    427,    853,   1130,   1532,   3016,   3826,   7252,   9560,   9561, 
/* msg =    877, deg = 10 */     64,    405,    991,   1386,   1512,   2589,   4245,   7628,   9561,   9562, 
/* msg =    878, deg = 10 */    199,    673,    769,   1397,   1489,   3133,   4994,   8311,   9562,   9563, 
/* msg =    879, deg = 10 */    182,    408,    781,   1162,   1706,   2319,   4735,   7863,   9563,   9564, 
/* msg =    880, deg = 10 */    166,    431,    847,   1351,   1625,   2010,   5312,   8176,   9564,   9565, 
/* msg =    881, deg = 10 */    310,    426,    837,   1203,   1489,   3040,   4452,   6891,   9565,   9566, 
/* msg =    882, deg = 10 */     16,    679,    845,   1161,   1452,   3354,   4107,   6918,   9566,   9567, 
/* msg =    883, deg = 10 */    309,    408,    867,   1168,   1445,   3509,   5664,   7245,   9567,   9568, 
/* msg =    884, deg = 10 */    231,    436,    840,   1131,   1501,   1856,   5944,   7168,   9568,   9569, 
/* msg =    885, deg = 10 */     26,    492,    869,   1324,   1440,   2772,   4478,   8084,   9569,   9570, 
/* msg =    886, deg = 10 */     62,    412,    827,   1097,   1489,   2693,   5676,   8636,   9570,   9571, 
/* msg =    887, deg = 10 */    158,    486,    985,   1149,   1442,   2224,   6011,   6534,   9571,   9572, 
/* msg =    888, deg = 10 */    133,    497,    808,   1207,   1782,   2005,   4626,   8329,   9572,   9573, 
/* msg =    889, deg = 10 */     24,    550,    990,   1325,   1476,   2207,   5359,   6444,   9573,   9574, 
/* msg =    890, deg = 10 */     43,    418,    793,   1386,   1497,   2592,   3644,   6233,   9574,   9575, 
/* msg =    891, deg = 10 */    301,    675,    896,   1415,   1787,   2278,   4743,   6200,   9575,   9576, 
/* msg =    892, deg = 10 */    191,    454,    889,   1158,   1638,   2956,   5278,   7639,   9576,   9577, 
/* msg =    893, deg = 10 */    204,    530,    920,   1371,   1484,   1845,   4020,   6559,   9577,   9578, 
/* msg =    894, deg = 10 */    343,    635,    777,   1125,   1501,   3308,   5484,   6646,   9578,   9579, 
/* msg =    895, deg = 10 */    303,    494,    766,   1249,   1597,   3290,   3747,   8232,   9579,   9580, 
/* msg =    896, deg = 10 */     73,    428,    854,   1131,   1533,   3017,   3827,   7253,   9581,   9582, 
/* msg =    897, deg = 10 */     65,    406,    992,   1387,   1513,   2590,   4246,   7629,   9582,   9583, 
/* msg =    898, deg = 10 */    200,    674,    770,   1398,   1490,   3134,   4995,   8312,   9583,   9584, 
/* msg =    899, deg = 10 */    183,    409,    782,   1163,   1707,   2320,   4736,   7864,   9584,   9585, 
/* msg =    900, deg = 10 */    167,    432,    848,   1352,   1626,   2011,   5313,   8177,   9585,   9586, 
/* msg =    901, deg = 10 */    311,    427,    838,   1204,   1490,   3041,   4453,   6892,   9586,   9587, 
/* msg =    902, deg = 10 */     17,    680,    846,   1162,   1453,   3355,   4108,   6919,   9587,   9588, 
/* msg =    903, deg = 10 */    310,    409,    868,   1169,   1446,   3510,   5665,   7246,   9588,   9589, 
/* msg =    904, deg = 10 */    232,    437,    841,   1132,   1502,   1857,   5945,   7169,   9589,   9590, 
/* msg =    905, deg = 10 */     27,    493,    870,   1325,   1441,   2773,   4479,   8085,   9590,   9591, 
/* msg =    906, deg = 10 */     63,    413,    828,   1098,   1490,   2694,   5677,   8637,   9591,   9592, 
/* msg =    907, deg = 10 */    159,    487,    986,   1150,   1443,   2225,   6012,   6535,   9592,   9593, 
/* msg =    908, deg = 10 */    134,    498,    809,   1208,   1783,   2006,   4627,   8330,   9593,   9594, 
/* msg =    909, deg = 10 */     25,    551,    991,   1326,   1477,   2208,   5360,   6445,   9594,   9595, 
/* msg =    910, deg = 10 */     44,    419,    794,   1387,   1498,   2593,   3645,   6234,   9595,   9596, 
/* msg =    911, deg = 10 */    302,    676,    897,   1416,   1788,   2279,   4744,   6201,   9596,   9597, 
/* msg =    912, deg = 10 */    192,    455,    890,   1159,   1639,   2957,   5279,   7640,   9597,   9598, 
/* msg =    913, deg = 10 */    205,    531,    921,   1372,   1485,   1846,   4021,   6560,   9598,   9599, 
/* msg =    914, deg = 10 */    344,    636,    778,   1126,   1502,   3309,   5485,   6647,   9599,   9600, 
/* msg =    915, deg = 10 */    304,    495,    767,   1250,   1598,   3291,   3748,   8233,   9600,   9601, 
/* msg =    916, deg = 10 */     74,    429,    855,   1132,   1534,   3018,   3828,   7254,   9602,   9603, 
/* msg =    917, deg = 10 */     66,    407,    993,   1388,   1514,   2591,   4247,   7630,   9603,   9604, 
/* msg =    918, deg = 10 */    201,    675,    771,   1399,   1491,   3135,   4996,   8313,   9604,   9605, 
/* msg =    919, deg = 10 */    184,    410,    783,   1164,   1708,   2321,   4737,   7865,   9605,   9606, 
/* msg =    920, deg = 10 */    168,    433,    849,   1353,   1627,   2012,   5314,   8178,   9606,   9607, 
/* msg =    921, deg = 10 */    312,    428,    839,   1205,   1491,   3042,   4454,   6893,   9607,   9608, 
/* msg =    922, deg = 10 */     18,    681,    847,   1163,   1454,   3356,   4109,   6920,   9608,   9609, 
/* msg =    923, deg = 10 */    311,    410,    869,   1170,   1447,   3511,   5666,   7247,   9609,   9610, 
/* msg =    924, deg = 10 */    233,    438,    842,   1133,   1503,   1858,   5946,   7170,   9610,   9611, 
/* msg =    925, deg = 10 */     28,    494,    871,   1326,   1442,   2774,   4480,   8086,   9611,   9612, 
/* msg =    926, deg = 10 */     64,    414,    829,   1099,   1491,   2695,   5678,   8638,   9612,   9613, 
/* msg =    927, deg = 10 */    160,    488,    987,   1151,   1444,   2226,   6013,   6536,   9613,   9614, 
/* msg =    928, deg = 10 */    135,    499,    810,   1209,   1784,   2007,   4628,   8331,   9614,   9615, 
/* msg =    929, deg = 10 */     26,    552,    992,   1327,   1478,   2209,   5361,   6446,   9615,   9616, 
/* msg =    930, deg = 10 */     45,    420,    795,   1388,   1499,   2594,   3646,   6235,   9616,   9617, 
/* msg =    931, deg = 10 */    303,    677,    898,   1417,   1789,   2280,   4745,   6202,   9617,   9618, 
/* msg =    932, deg = 10 */    193,    456,    891,   1160,   1640,   2958,   5280,   7641,   9618,   9619, 
/* msg =    933, deg = 10 */    206,    532,    922,   1373,   1486,   1847,   4022,   6561,   9619,   9620, 
/* msg =    934, deg = 10 */    345,    637,    779,   1127,   1503,   3310,   5486,   6648,   9620,   9621, 
/* msg =    935, deg = 10 */    305,    496,    768,   1251,   1599,   3292,   3749,   8234,   9621,   9622, 
/* msg =    936, deg = 10 */     75,    430,    856,   1133,   1535,   3019,   3829,   7255,   9623,   9624, 
/* msg =    937, deg = 10 */     67,    408,    994,   1389,   1515,   2592,   4248,   7631,   9624,   9625, 
/* msg =    938, deg = 10 */    202,    676,    772,   1400,   1492,   3136,   4997,   8314,   9625,   9626, 
/* msg =    939, deg = 10 */    185,    411,    784,   1165,   1709,   2322,   4738,   7866,   9626,   9627, 
/* msg =    940, deg = 10 */    169,    434,    850,   1354,   1628,   2013,   5315,   8179,   9627,   9628, 
/* msg =    941, deg = 10 */    313,    429,    840,   1206,   1492,   3043,   4455,   6894,   9628,   9629, 
/* msg =    942, deg = 10 */     19,    682,    848,   1164,   1455,   3357,   4110,   6921,   9629,   9630, 
/* msg =    943, deg = 10 */    312,    411,    870,   1171,   1448,   3512,   5667,   7248,   9630,   9631, 
/* msg =    944, deg = 10 */    234,    439,    843,   1134,   1504,   1859,   5947,   7171,   9631,   9632, 
/* msg =    945, deg = 10 */     29,    495,    872,   1327,   1443,   2775,   4481,   8087,   9632,   9633, 
/* msg =    946, deg = 10 */     65,    415,    830,   1100,   1492,   2696,   5679,   8639,   9633,   9634, 
/* msg =    947, deg = 10 */    161,    489,    988,   1152,   1445,   2227,   6014,   6537,   9634,   9635, 
/* msg =    948, deg = 10 */    136,    500,    811,   1210,   1785,   2008,   4629,   8332,   9635,   9636, 
/* msg =    949, deg = 10 */     27,    553,    993,   1328,   1479,   2210,   5362,   6447,   9636,   9637, 
/* msg =    950, deg = 10 */     46,    421,    796,   1389,   1500,   2595,   3647,   6236,   9637,   9638, 
/* msg =    951, deg = 10 */    304,    678,    899,   1418,   1790,   2281,   4746,   6203,   9638,   9639, 
/* msg =    952, deg = 10 */    194,    457,    892,   1161,   1641,   2959,   5281,   7642,   9639,   9640, 
/* msg =    953, deg = 10 */    207,    533,    923,   1374,   1487,   1848,   4023,   6562,   9640,   9641, 
/* msg =    954, deg = 10 */    346,    638,    780,   1128,   1504,   3311,   5487,   6649,   9641,   9642, 
/* msg =    955, deg = 10 */    306,    497,    769,   1252,   1600,   3293,   3750,   8235,   9642,   9643, 
/* msg =    956, deg = 10 */     76,    431,    857,   1134,   1536,   3020,   3830,   7256,   9644,   9645, 
/* msg =    957, deg = 10 */     68,    409,    995,   1390,   1516,   2593,   4249,   7632,   9645,   9646, 
/* msg =    958, deg = 10 */    203,    677,    773,   1401,   1493,   3137,   4998,   8315,   9646,   9647, 
/* msg =    959, deg = 10 */    186,    412,    785,   1166,   1710,   2323,   4739,   7867,   9647,   9648, 
/* msg =    960, deg = 10 */    170,    435,    851,   1355,   1629,   2014,   5316,   8180,   9648,   9649, 
/* msg =    961, deg = 10 */    314,    430,    841,   1207,   1493,   3044,   4456,   6895,   9649,   9650, 
/* msg =    962, deg = 10 */     20,    683,    849,   1165,   1456,   3358,   4111,   6922,   9650,   9651, 
/* msg =    963, deg = 10 */    313,    412,    871,   1172,   1449,   3513,   5668,   7249,   9651,   9652, 
/* msg =    964, deg = 10 */    235,    440,    844,   1135,   1505,   1860,   5948,   7172,   9652,   9653, 
/* msg =    965, deg = 10 */     30,    496,    873,   1328,   1444,   2776,   4482,   8088,   9653,   9654, 
/* msg =    966, deg = 10 */     66,    416,    831,   1101,   1493,   2697,   5680,   8280,   9654,   9655, 
/* msg =    967, deg = 10 */    162,    490,    989,   1153,   1446,   2228,   6015,   6538,   9655,   9656, 
/* msg =    968, deg = 10 */    137,    501,    812,   1211,   1786,   2009,   4630,   8333,   9656,   9657, 
/* msg =    969, deg = 10 */     28,    554,    994,   1329,   1480,   2211,   5363,   6448,   9657,   9658, 
/* msg =    970, deg = 10 */     47,    422,    797,   1390,   1501,   2596,   3648,   6237,   9658,   9659, 
/* msg =    971, deg = 10 */    305,    679,    900,   1419,   1791,   2282,   4747,   6204,   9659,   9660, 
/* msg =    972, deg = 10 */    195,    458,    893,   1162,   1642,   2960,   5282,   7643,   9660,   9661, 
/* msg =    973, deg = 10 */    208,    534,    924,   1375,   1488,   1849,   4024,   6563,   9661,   9662, 
/* msg =    974, deg = 10 */    347,    639,    781,   1129,   1505,   3312,   5488,   6650,   9662,   9663, 
/* msg =    975, deg = 10 */    307,    498,    770,   1253,   1601,   3294,   3751,   8236,   9663,   9664, 
/* msg =    976, deg = 10 */     77,    432,    858,   1135,   1537,   3021,   3831,   7257,   9665,   9666, 
/* msg =    977, deg = 10 */     69,    410,    996,   1391,   1517,   2594,   4250,   7633,   9666,   9667, 
/* msg =    978, deg = 10 */    204,    678,    774,   1402,   1494,   3138,   4999,   8316,   9667,   9668, 
/* msg =    979, deg = 10 */    187,    413,    786,   1167,   1711,   2324,   4740,   7868,   9668,   9669, 
/* msg =    980, deg = 10 */    171,    436,    852,   1356,   1630,   2015,   5317,   8181,   9669,   9670, 
/* msg =    981, deg = 10 */    315,    431,    842,   1208,   1494,   3045,   4457,   6896,   9670,   9671, 
/* msg =    982, deg = 10 */     21,    684,    850,   1166,   1457,   3359,   4112,   6923,   9671,   9672, 
/* msg =    983, deg = 10 */    314,    413,    872,   1173,   1450,   3514,   5669,   7250,   9672,   9673, 
/* msg =    984, deg = 10 */    236,    441,    845,   1136,   1506,   1861,   5949,   7173,   9673,   9674, 
/* msg =    985, deg = 10 */     31,    497,    874,   1329,   1445,   2777,   4483,   8089,   9674,   9675, 
/* msg =    986, deg = 10 */     67,    417,    832,   1102,   1494,   2698,   5681,   8281,   9675,   9676, 
/* msg =    987, deg = 10 */    163,    491,    990,   1154,   1447,   2229,   6016,   6539,   9676,   9677, 
/* msg =    988, deg = 10 */    138,    502,    813,   1212,   1787,   2010,   4631,   8334,   9677,   9678, 
/* msg =    989, deg = 10 */     29,    555,    995,   1330,   1481,   2212,   5364,   6449,   9678,   9679, 
/* msg =    990, deg = 10 */     48,    423,    798,   1391,   1502,   2597,   3649,   6238,   9679,   9680, 
/* msg =    991, deg = 10 */    306,    680,    901,   1420,   1792,   2283,   4748,   6205,   9680,   9681, 
/* msg =    992, deg = 10 */    196,    459,    894,   1163,   1643,   2961,   5283,   7644,   9681,   9682, 
/* msg =    993, deg = 10 */    209,    535,    925,   1376,   1489,   1850,   4025,   6564,   9682,   9683, 
/* msg =    994, deg = 10 */    348,    640,    782,   1130,   1506,   3313,   5489,   6651,   9683,   9684, 
/* msg =    995, deg = 10 */    308,    499,    771,   1254,   1602,   3295,   3752,   8237,   9684,   9685, 
/* msg =    996, deg = 10 */     78,    433,    859,   1136,   1538,   3022,   3832,   7258,   9686,   9687, 
/* msg =    997, deg = 10 */     70,    411,    997,   1392,   1518,   2595,   4251,   7634,   9687,   9688, 
/* msg =    998, deg = 10 */    205,    679,    775,   1403,   1495,   3139,   5000,   8317,   9688,   9689, 
/* msg =    999, deg = 10 */    188,    414,    787,   1168,   1712,   2325,   4741,   7869,   9689,   9690, 
/* msg =   1000, deg = 10 */    172,    437,    853,   1357,   1631,   2016,   5318,   8182,   9690,   9691, 
/* msg =   1001, deg = 10 */    316,    432,    843,   1209,   1495,   3046,   4458,   6897,   9691,   9692, 
/* msg =   1002, deg = 10 */     22,    685,    851,   1167,   1458,   3360,   4113,   6924,   9692,   9693, 
/* msg =   1003, deg = 10 */    315,    414,    873,   1174,   1451,   3515,   5670,   7251,   9693,   9694, 
/* msg =   1004, deg = 10 */    237,    442,    846,   1137,   1507,   1862,   5950,   7174,   9694,   9695, 
/* msg =   1005, deg = 10 */     32,    498,    875,   1330,   1446,   2778,   4484,   8090,   9695,   9696, 
/* msg =   1006, deg = 10 */     68,    418,    833,   1103,   1495,   2699,   5682,   8282,   9696,   9697, 
/* msg =   1007, deg = 10 */    164,    492,    991,   1155,   1448,   2230,   6017,   6540,   9697,   9698, 
/* msg =   1008, deg = 10 */    139,    503,    814,   1213,   1788,   2011,   4632,   8335,   9698,   9699, 
/* msg =   1009, deg = 10 */     30,    556,    996,   1331,   1482,   2213,   5365,   6450,   9699,   9700, 
/* msg =   1010, deg = 10 */     49,    424,    799,   1392,   1503,   2598,   3650,   6239,   9700,   9701, 
/* msg =   1011, deg = 10 */    307,    681,    902,   1421,   1793,   2284,   4749,   6206,   9701,   9702, 
/* msg =   1012, deg = 10 */    197,    460,    895,   1164,   1644,   2962,   5284,   7645,   9702,   9703, 
/* msg =   1013, deg = 10 */    210,    536,    926,   1377,   1490,   1851,   4026,   6565,   9703,   9704, 
/* msg =   1014, deg = 10 */    349,    641,    783,   1131,   1507,   3314,   5490,   6652,   9704,   9705, 
/* msg =   1015, deg = 10 */    309,    500,    772,   1255,   1603,   3296,   3753,   8238,   9705,   9706, 
/* msg =   1016, deg = 10 */     79,    434,    860,   1137,   1539,   3023,   3833,   7259,   9707,   9708, 
/* msg =   1017, deg = 10 */     71,    412,    998,   1393,   1519,   2596,   4252,   7635,   9708,   9709, 
/* msg =   1018, deg = 10 */    206,    680,    776,   1404,   1496,   3140,   5001,   8318,   9709,   9710, 
/* msg =   1019, deg = 10 */    189,    415,    788,   1169,   1713,   2326,   4742,   7870,   9710,   9711, 
/* msg =   1020, deg = 10 */    173,    438,    854,   1358,   1632,   2017,   5319,   8183,   9711,   9712, 
/* msg =   1021, deg = 10 */    317,    433,    844,   1210,   1496,   3047,   4459,   6898,   9712,   9713, 
/* msg =   1022, deg = 10 */     23,    686,    852,   1168,   1459,   3361,   4114,   6925,   9713,   9714, 
/* msg =   1023, deg = 10 */    316,    415,    874,   1175,   1452,   3516,   5671,   7252,   9714,   9715, 
/* msg =   1024, deg = 10 */    238,    443,    847,   1138,   1508,   1863,   5951,   7175,   9715,   9716, 
/* msg =   1025, deg = 10 */     33,    499,    876,   1331,   1447,   2779,   4485,   8091,   9716,   9717, 
/* msg =   1026, deg = 10 */     69,    419,    834,   1104,   1496,   2700,   5683,   8283,   9717,   9718, 
/* msg =   1027, deg = 10 */    165,    493,    992,   1156,   1449,   2231,   6018,   6541,   9718,   9719, 
/* msg =   1028, deg = 10 */    140,    504,    815,   1214,   1789,   2012,   4633,   8336,   9719,   9720, 
/* msg =   1029, deg = 10 */     31,    557,    997,   1332,   1483,   2214,   5366,   6451,   9720,   9721, 
/* msg =   1030, deg = 10 */     50,    425,    800,   1393,   1504,   2599,   3651,   6240,   9721,   9722, 
/* msg =   1031, deg = 10 */    308,    682,    903,   1422,   1794,   2285,   4750,   6207,   9722,   9723, 
/* msg =   1032, deg = 10 */    198,    461,    896,   1165,   1645,   2963,   5285,   7646,   9723,   9724, 
/* msg =   1033, deg = 10 */    211,    537,    927,   1378,   1491,   1852,   4027,   6566,   9724,   9725, 
/* msg =   1034, deg = 10 */    350,    642,    784,   1132,   1508,   3315,   5491,   6653,   9725,   9726, 
/* msg =   1035, deg = 10 */    310,    501,    773,   1256,   1604,   3297,   3754,   8239,   9726,   9727, 
/* msg =   1036, deg = 10 */     80,    435,    861,   1138,   1540,   3024,   3834,   7260,   9728,   9729, 
/* msg =   1037, deg = 10 */     72,    413,    999,   1394,   1520,   2597,   4253,   7636,   9729,   9730, 
/* msg =   1038, deg = 10 */    207,    681,    777,   1405,   1497,   3141,   5002,   8319,   9730,   9731, 
/* msg =   1039, deg = 10 */    190,    416,    789,   1170,   1714,   2327,   4743,   7871,   9731,   9732, 
/* msg =   1040, deg = 10 */    174,    439,    855,   1359,   1633,   2018,   5320,   8184,   9732,   9733, 
/* msg =   1041, deg = 10 */    318,    434,    845,   1211,   1497,   3048,   4460,   6899,   9733,   9734, 
/* msg =   1042, deg = 10 */     24,    687,    853,   1169,   1460,   3362,   4115,   6926,   9734,   9735, 
/* msg =   1043, deg = 10 */    317,    416,    875,   1176,   1453,   3517,   5672,   7253,   9735,   9736, 
/* msg =   1044, deg = 10 */    239,    444,    848,   1139,   1509,   1864,   5952,   7176,   9736,   9737, 
/* msg =   1045, deg = 10 */     34,    500,    877,   1332,   1448,   2780,   4486,   8092,   9737,   9738, 
/* msg =   1046, deg = 10 */     70,    420,    835,   1105,   1497,   2701,   5684,   8284,   9738,   9739, 
/* msg =   1047, deg = 10 */    166,    494,    993,   1157,   1450,   2232,   6019,   6542,   9739,   9740, 
/* msg =   1048, deg = 10 */    141,    505,    816,   1215,   1790,   2013,   4634,   8337,   9740,   9741, 
/* msg =   1049, deg = 10 */     32,    558,    998,   1333,   1484,   2215,   5367,   6452,   9741,   9742, 
/* msg =   1050, deg = 10 */     51,    426,    801,   1394,   1505,   2600,   3652,   6241,   9742,   9743, 
/* msg =   1051, deg = 10 */    309,    683,    904,   1423,   1795,   2286,   4751,   6208,   9743,   9744, 
/* msg =   1052, deg = 10 */    199,    462,    897,   1166,   1646,   2964,   5286,   7647,   9744,   9745, 
/* msg =   1053, deg = 10 */    212,    538,    928,   1379,   1492,   1853,   4028,   6567,   9745,   9746, 
/* msg =   1054, deg = 10 */    351,    643,    785,   1133,   1509,   3316,   5492,   6654,   9746,   9747, 
/* msg =   1055, deg = 10 */    311,    502,    774,   1257,   1605,   3298,   3755,   8240,   9747,   9748, 
/* msg =   1056, deg = 10 */     81,    436,    862,   1139,   1541,   3025,   3835,   7261,   9749,   9750, 
/* msg =   1057, deg = 10 */     73,    414,   1000,   1395,   1521,   2598,   4254,   7637,   9750,   9751, 
/* msg =   1058, deg = 10 */    208,    682,    778,   1406,   1498,   3142,   5003,   8320,   9751,   9752, 
/* msg =   1059, deg = 10 */    191,    417,    790,   1171,   1715,   2328,   4744,   7872,   9752,   9753, 
/* msg =   1060, deg = 10 */    175,    440,    856,   1360,   1634,   2019,   5321,   8185,   9753,   9754, 
/* msg =   1061, deg = 10 */    319,    435,    846,   1212,   1498,   3049,   4461,   6900,   9754,   9755, 
/* msg =   1062, deg = 10 */     25,    688,    854,   1170,   1461,   3363,   4116,   6927,   9755,   9756, 
/* msg =   1063, deg = 10 */    318,    417,    876,   1177,   1454,   3518,   5673,   7254,   9756,   9757, 
/* msg =   1064, deg = 10 */    240,    445,    849,   1140,   1510,   1865,   5953,   7177,   9757,   9758, 
/* msg =   1065, deg = 10 */     35,    501,    878,   1333,   1449,   2781,   4487,   8093,   9758,   9759, 
/* msg =   1066, deg = 10 */     71,    421,    836,   1106,   1498,   2702,   5685,   8285,   9759,   9760, 
/* msg =   1067, deg = 10 */    167,    495,    994,   1158,   1451,   2233,   6020,   6543,   9760,   9761, 
/* msg =   1068, deg = 10 */    142,    506,    817,   1216,   1791,   2014,   4635,   8338,   9761,   9762, 
/* msg =   1069, deg = 10 */     33,    559,    999,   1334,   1485,   2216,   5368,   6453,   9762,   9763, 
/* msg =   1070, deg = 10 */     52,    427,    802,   1395,   1506,   2601,   3653,   6242,   9763,   9764, 
/* msg =   1071, deg = 10 */    310,    684,    905,   1424,   1796,   2287,   4752,   6209,   9764,   9765, 
/* msg =   1072, deg = 10 */    200,    463,    898,   1167,   1647,   2965,   5287,   7648,   9765,   9766, 
/* msg =   1073, deg = 10 */    213,    539,    929,   1380,   1493,   1854,   4029,   6568,   9766,   9767, 
/* msg =   1074, deg = 10 */    352,    644,    786,   1134,   1510,   3317,   5493,   6655,   9767,   9768, 
/* msg =   1075, deg = 10 */    312,    503,    775,   1258,   1606,   3299,   3756,   8241,   9768,   9769, 
/* msg =   1076, deg = 10 */     82,    437,    863,   1140,   1542,   3026,   3836,   7262,   9770,   9771, 
/* msg =   1077, deg = 10 */     74,    415,   1001,   1396,   1522,   2599,   4255,   7638,   9771,   9772, 
/* msg =   1078, deg = 10 */    209,    683,    779,   1407,   1499,   3143,   5004,   8321,   9772,   9773, 
/* msg =   1079, deg = 10 */    192,    418,    791,   1172,   1716,   2329,   4745,   7873,   9773,   9774, 
/* msg =   1080, deg = 10 */    176,    441,    857,   1361,   1635,   2020,   5322,   8186,   9774,   9775, 
/* msg =   1081, deg = 10 */    320,    436,    847,   1213,   1499,   3050,   4462,   6901,   9775,   9776, 
/* msg =   1082, deg = 10 */     26,    689,    855,   1171,   1462,   3364,   4117,   6928,   9776,   9777, 
/* msg =   1083, deg = 10 */    319,    418,    877,   1178,   1455,   3519,   5674,   7255,   9777,   9778, 
/* msg =   1084, deg = 10 */    241,    446,    850,   1141,   1511,   1866,   5954,   7178,   9778,   9779, 
/* msg =   1085, deg = 10 */     36,    502,    879,   1334,   1450,   2782,   4488,   8094,   9779,   9780, 
/* msg =   1086, deg = 10 */     72,    422,    837,   1107,   1499,   2703,   5686,   8286,   9780,   9781, 
/* msg =   1087, deg = 10 */    168,    496,    995,   1159,   1452,   2234,   6021,   6544,   9781,   9782, 
/* msg =   1088, deg = 10 */    143,    507,    818,   1217,   1792,   2015,   4636,   8339,   9782,   9783, 
/* msg =   1089, deg = 10 */     34,    560,   1000,   1335,   1486,   2217,   5369,   6454,   9783,   9784, 
/* msg =   1090, deg = 10 */     53,    428,    803,   1396,   1507,   2602,   3654,   6243,   9784,   9785, 
/* msg =   1091, deg = 10 */    311,    685,    906,   1425,   1797,   2288,   4753,   6210,   9785,   9786, 
/* msg =   1092, deg = 10 */    201,    464,    899,   1168,   1648,   2966,   5288,   7649,   9786,   9787, 
/* msg =   1093, deg = 10 */    214,    540,    930,   1381,   1494,   1855,   4030,   6569,   9787,   9788, 
/* msg =   1094, deg = 10 */    353,    645,    787,   1135,   1511,   3318,   5494,   6656,   9788,   9789, 
/* msg =   1095, deg = 10 */    313,    504,    776,   1259,   1607,   3300,   3757,   8242,   9789,   9790, 
/* msg =   1096, deg = 10 */     83,    438,    864,   1141,   1543,   3027,   3837,   7263,   9791,   9792, 
/* msg =   1097, deg = 10 */     75,    416,   1002,   1397,   1523,   2600,   4256,   7639,   9792,   9793, 
/* msg =   1098, deg = 10 */    210,    684,    780,   1408,   1500,   3144,   5005,   8322,   9793,   9794, 
/* msg =   1099, deg = 10 */    193,    419,    792,   1173,   1717,   2330,   4746,   7874,   9794,   9795, 
/* msg =   1100, deg = 10 */    177,    442,    858,   1362,   1636,   2021,   5323,   8187,   9795,   9796, 
/* msg =   1101, deg = 10 */    321,    437,    848,   1214,   1500,   3051,   4463,   6902,   9796,   9797, 
/* msg =   1102, deg = 10 */     27,    690,    856,   1172,   1463,   3365,   4118,   6929,   9797,   9798, 
/* msg =   1103, deg = 10 */    320,    419,    878,   1179,   1456,   3520,   5675,   7256,   9798,   9799, 
/* msg =   1104, deg = 10 */    242,    447,    851,   1142,   1512,   1867,   5955,   7179,   9799,   9800, 
/* msg =   1105, deg = 10 */     37,    503,    880,   1335,   1451,   2783,   4489,   8095,   9800,   9801, 
/* msg =   1106, deg = 10 */     73,    423,    838,   1108,   1500,   2704,   5687,   8287,   9801,   9802, 
/* msg =   1107, deg = 10 */    169,    497,    996,   1160,   1453,   2235,   6022,   6545,   9802,   9803, 
/* msg =   1108, deg = 10 */    144,    508,    819,   1218,   1793,   2016,   4637,   8340,   9803,   9804, 
/* msg =   1109, deg = 10 */     35,    561,   1001,   1336,   1487,   2218,   5370,   6455,   9804,   9805, 
/* msg =   1110, deg = 10 */     54,    429,    804,   1397,   1508,   2603,   3655,   6244,   9805,   9806, 
/* msg =   1111, deg = 10 */    312,    686,    907,   1426,   1798,   2289,   4754,   6211,   9806,   9807, 
/* msg =   1112, deg = 10 */    202,    465,    900,   1169,   1649,   2967,   5289,   7650,   9807,   9808, 
/* msg =   1113, deg = 10 */    215,    541,    931,   1382,   1495,   1856,   4031,   6570,   9808,   9809, 
/* msg =   1114, deg = 10 */    354,    646,    788,   1136,   1512,   3319,   5495,   6657,   9809,   9810, 
/* msg =   1115, deg = 10 */    314,    505,    777,   1260,   1608,   3301,   3758,   8243,   9810,   9811, 
/* msg =   1116, deg = 10 */     84,    439,    865,   1142,   1544,   3028,   3838,   7264,   9812,   9813, 
/* msg =   1117, deg = 10 */     76,    417,   1003,   1398,   1524,   2601,   4257,   7640,   9813,   9814, 
/* msg =   1118, deg = 10 */    211,    685,    781,   1409,   1501,   3145,   5006,   8323,   9814,   9815, 
/* msg =   1119, deg = 10 */    194,    420,    793,   1174,   1718,   2331,   4747,   7875,   9815,   9816, 
/* msg =   1120, deg = 10 */    178,    443,    859,   1363,   1637,   2022,   5324,   8188,   9816,   9817, 
/* msg =   1121, deg = 10 */    322,    438,    849,   1215,   1501,   3052,   4464,   6903,   9817,   9818, 
/* msg =   1122, deg = 10 */     28,    691,    857,   1173,   1464,   3366,   4119,   6930,   9818,   9819, 
/* msg =   1123, deg = 10 */    321,    420,    879,   1180,   1457,   3521,   5676,   7257,   9819,   9820, 
/* msg =   1124, deg = 10 */    243,    448,    852,   1143,   1513,   1868,   5956,   7180,   9820,   9821, 
/* msg =   1125, deg = 10 */     38,    504,    881,   1336,   1452,   2784,   4490,   8096,   9821,   9822, 
/* msg =   1126, deg = 10 */     74,    424,    839,   1109,   1501,   2705,   5688,   8288,   9822,   9823, 
/* msg =   1127, deg = 10 */    170,    498,    997,   1161,   1454,   2236,   6023,   6546,   9823,   9824, 
/* msg =   1128, deg = 10 */    145,    509,    820,   1219,   1794,   2017,   4638,   8341,   9824,   9825, 
/* msg =   1129, deg = 10 */     36,    562,   1002,   1337,   1488,   2219,   5371,   6456,   9825,   9826, 
/* msg =   1130, deg = 10 */     55,    430,    805,   1398,   1509,   2604,   3656,   6245,   9826,   9827, 
/* msg =   1131, deg = 10 */    313,    687,    908,   1427,   1799,   2290,   4755,   6212,   9827,   9828, 
/* msg =   1132, deg = 10 */    203,    466,    901,   1170,   1650,   2968,   5290,   7651,   9828,   9829, 
/* msg =   1133, deg = 10 */    216,    542,    932,   1383,   1496,   1857,   4032,   6571,   9829,   9830, 
/* msg =   1134, deg = 10 */    355,    647,    789,   1137,   1513,   3320,   5496,   6658,   9830,   9831, 
/* msg =   1135, deg = 10 */    315,    506,    778,   1261,   1609,   3302,   3759,   8244,   9831,   9832, 
/* msg =   1136, deg = 10 */     85,    440,    866,   1143,   1545,   3029,   3839,   7265,   9833,   9834, 
/* msg =   1137, deg = 10 */     77,    418,   1004,   1399,   1525,   2602,   4258,   7641,   9834,   9835, 
/* msg =   1138, deg = 10 */    212,    686,    782,   1410,   1502,   3146,   5007,   8324,   9835,   9836, 
/* msg =   1139, deg = 10 */    195,    421,    794,   1175,   1719,   2332,   4748,   7876,   9836,   9837, 
/* msg =   1140, deg = 10 */    179,    444,    860,   1364,   1638,   2023,   5325,   8189,   9837,   9838, 
/* msg =   1141, deg = 10 */    323,    439,    850,   1216,   1502,   3053,   4465,   6904,   9838,   9839, 
/* msg =   1142, deg = 10 */     29,    692,    858,   1174,   1465,   3367,   4120,   6931,   9839,   9840, 
/* msg =   1143, deg = 10 */    322,    421,    880,   1181,   1458,   3522,   5677,   7258,   9840,   9841, 
/* msg =   1144, deg = 10 */    244,    449,    853,   1144,   1514,   1869,   5957,   7181,   9841,   9842, 
/* msg =   1145, deg = 10 */     39,    505,    882,   1337,   1453,   2785,   4491,   8097,   9842,   9843, 
/* msg =   1146, deg = 10 */     75,    425,    840,   1110,   1502,   2706,   5689,   8289,   9843,   9844, 
/* msg =   1147, deg = 10 */    171,    499,    998,   1162,   1455,   2237,   6024,   6547,   9844,   9845, 
/* msg =   1148, deg = 10 */    146,    510,    821,   1220,   1795,   2018,   4639,   8342,   9845,   9846, 
/* msg =   1149, deg = 10 */     37,    563,   1003,   1338,   1489,   2220,   5372,   6457,   9846,   9847, 
/* msg =   1150, deg = 10 */     56,    431,    806,   1399,   1510,   2605,   3657,   6246,   9847,   9848, 
/* msg =   1151, deg = 10 */    314,    688,    909,   1428,   1440,   2291,   4756,   6213,   9848,   9849, 
/* msg =   1152, deg = 10 */    204,    467,    902,   1171,   1651,   2969,   5291,   7652,   9849,   9850, 
/* msg =   1153, deg = 10 */    217,    543,    933,   1384,   1497,   1858,   4033,   6572,   9850,   9851, 
/* msg =   1154, deg = 10 */    356,    648,    790,   1138,   1514,   3321,   5497,   6659,   9851,   9852, 
/* msg =   1155, deg = 10 */    316,    507,    779,   1262,   1610,   3303,   3760,   8245,   9852,   9853, 
/* msg =   1156, deg = 10 */     86,    441,    867,   1144,   1546,   3030,   3840,   7266,   9854,   9855, 
/* msg =   1157, deg = 10 */     78,    419,   1005,   1400,   1526,   2603,   4259,   7642,   9855,   9856, 
/* msg =   1158, deg = 10 */    213,    687,    783,   1411,   1503,   3147,   5008,   8325,   9856,   9857, 
/* msg =   1159, deg = 10 */    196,    422,    795,   1176,   1720,   2333,   4749,   7877,   9857,   9858, 
/* msg =   1160, deg = 10 */    180,    445,    861,   1365,   1639,   2024,   5326,   8190,   9858,   9859, 
/* msg =   1161, deg = 10 */    324,    440,    851,   1217,   1503,   3054,   4466,   6905,   9859,   9860, 
/* msg =   1162, deg = 10 */     30,    693,    859,   1175,   1466,   3368,   4121,   6932,   9860,   9861, 
/* msg =   1163, deg = 10 */    323,    422,    881,   1182,   1459,   3523,   5678,   7259,   9861,   9862, 
/* msg =   1164, deg = 10 */    245,    450,    854,   1145,   1515,   1870,   5958,   7182,   9862,   9863, 
/* msg =   1165, deg = 10 */     40,    506,    883,   1338,   1454,   2786,   4492,   8098,   9863,   9864, 
/* msg =   1166, deg = 10 */     76,    426,    841,   1111,   1503,   2707,   5690,   8290,   9864,   9865, 
/* msg =   1167, deg = 10 */    172,    500,    999,   1163,   1456,   2238,   6025,   6548,   9865,   9866, 
/* msg =   1168, deg = 10 */    147,    511,    822,   1221,   1796,   2019,   4640,   8343,   9866,   9867, 
/* msg =   1169, deg = 10 */     38,    564,   1004,   1339,   1490,   2221,   5373,   6458,   9867,   9868, 
/* msg =   1170, deg = 10 */     57,    432,    807,   1400,   1511,   2606,   3658,   6247,   9868,   9869, 
/* msg =   1171, deg = 10 */    315,    689,    910,   1429,   1441,   2292,   4757,   6214,   9869,   9870, 
/* msg =   1172, deg = 10 */    205,    468,    903,   1172,   1652,   2970,   5292,   7653,   9870,   9871, 
/* msg =   1173, deg = 10 */    218,    544,    934,   1385,   1498,   1859,   4034,   6573,   9871,   9872, 
/* msg =   1174, deg = 10 */    357,    649,    791,   1139,   1515,   3322,   5498,   6660,   9872,   9873, 
/* msg =   1175, deg = 10 */    317,    508,    780,   1263,   1611,   3304,   3761,   8246,   9873,   9874, 
/* msg =   1176, deg = 10 */     87,    442,    868,   1145,   1547,   3031,   3841,   7267,   9875,   9876, 
/* msg =   1177, deg = 10 */     79,    420,   1006,   1401,   1527,   2604,   4260,   7643,   9876,   9877, 
/* msg =   1178, deg = 10 */    214,    688,    784,   1412,   1504,   3148,   5009,   8326,   9877,   9878, 
/* msg =   1179, deg = 10 */    197,    423,    796,   1177,   1721,   2334,   4750,   7878,   9878,   9879, 
/* msg =   1180, deg = 10 */    181,    446,    862,   1366,   1640,   2025,   5327,   8191,   9879,   9880, 
/* msg =   1181, deg = 10 */    325,    441,    852,   1218,   1504,   3055,   4467,   6906,   9880,   9881, 
/* msg =   1182, deg = 10 */     31,    694,    860,   1176,   1467,   3369,   4122,   6933,   9881,   9882, 
/* msg =   1183, deg = 10 */    324,    423,    882,   1183,   1460,   3524,   5679,   7260,   9882,   9883, 
/* msg =   1184, deg = 10 */    246,    451,    855,   1146,   1516,   1871,   5959,   7183,   9883,   9884, 
/* msg =   1185, deg = 10 */     41,    507,    884,   1339,   1455,   2787,   4493,   8099,   9884,   9885, 
/* msg =   1186, deg = 10 */     77,    427,    842,   1112,   1504,   2708,   5691,   8291,   9885,   9886, 
/* msg =   1187, deg = 10 */    173,    501,   1000,   1164,   1457,   2239,   6026,   6549,   9886,   9887, 
/* msg =   1188, deg = 10 */    148,    512,    823,   1222,   1797,   2020,   4641,   8344,   9887,   9888, 
/* msg =   1189, deg = 10 */     39,    565,   1005,   1340,   1491,   2222,   5374,   6459,   9888,   9889, 
/* msg =   1190, deg = 10 */     58,    433,    808,   1401,   1512,   2607,   3659,   6248,   9889,   9890, 
/* msg =   1191, deg = 10 */    316,    690,    911,   1430,   1442,   2293,   4758,   6215,   9890,   9891, 
/* msg =   1192, deg = 10 */    206,    469,    904,   1173,   1653,   2971,   5293,   7654,   9891,   9892, 
/* msg =   1193, deg = 10 */    219,    545,    935,   1386,   1499,   1860,   4035,   6574,   9892,   9893, 
/* msg =   1194, deg = 10 */    358,    650,    792,   1140,   1516,   3323,   5499,   6661,   9893,   9894, 
/* msg =   1195, deg = 10 */    318,    509,    781,   1264,   1612,   3305,   3762,   8247,   9894,   9895, 
/* msg =   1196, deg = 10 */     88,    443,    869,   1146,   1548,   3032,   3842,   7268,   9896,   9897, 
/* msg =   1197, deg = 10 */     80,    421,   1007,   1402,   1528,   2605,   4261,   7644,   9897,   9898, 
/* msg =   1198, deg = 10 */    215,    689,    785,   1413,   1505,   3149,   5010,   8327,   9898,   9899, 
/* msg =   1199, deg = 10 */    198,    424,    797,   1178,   1722,   2335,   4751,   7879,   9899,   9900, 
/* msg =   1200, deg = 10 */    182,    447,    863,   1367,   1641,   2026,   5328,   8192,   9900,   9901, 
/* msg =   1201, deg = 10 */    326,    442,    853,   1219,   1505,   3056,   4468,   6907,   9901,   9902, 
/* msg =   1202, deg = 10 */     32,    695,    861,   1177,   1468,   3370,   4123,   6934,   9902,   9903, 
/* msg =   1203, deg = 10 */    325,    424,    883,   1184,   1461,   3525,   5680,   7261,   9903,   9904, 
/* msg =   1204, deg = 10 */    247,    452,    856,   1147,   1517,   1872,   5960,   7184,   9904,   9905, 
/* msg =   1205, deg = 10 */     42,    508,    885,   1340,   1456,   2788,   4494,   8100,   9905,   9906, 
/* msg =   1206, deg = 10 */     78,    428,    843,   1113,   1505,   2709,   5692,   8292,   9906,   9907, 
/* msg =   1207, deg = 10 */    174,    502,   1001,   1165,   1458,   2240,   6027,   6550,   9907,   9908, 
/* msg =   1208, deg = 10 */    149,    513,    824,   1223,   1798,   2021,   4642,   8345,   9908,   9909, 
/* msg =   1209, deg = 10 */     40,    566,   1006,   1341,   1492,   2223,   5375,   6460,   9909,   9910, 
/* msg =   1210, deg = 10 */     59,    434,    809,   1402,   1513,   2608,   3660,   6249,   9910,   9911, 
/* msg =   1211, deg = 10 */    317,    691,    912,   1431,   1443,   2294,   4759,   6216,   9911,   9912, 
/* msg =   1212, deg = 10 */    207,    470,    905,   1174,   1654,   2972,   5294,   7655,   9912,   9913, 
/* msg =   1213, deg = 10 */    220,    546,    936,   1387,   1500,   1861,   4036,   6575,   9913,   9914, 
/* msg =   1214, deg = 10 */    359,    651,    793,   1141,   1517,   3324,   5500,   6662,   9914,   9915, 
/* msg =   1215, deg = 10 */    319,    510,    782,   1265,   1613,   3306,   3763,   8248,   9915,   9916, 
/* msg =   1216, deg = 10 */     89,    444,    870,   1147,   1549,   3033,   3843,   7269,   9917,   9918, 
/* msg =   1217, deg = 10 */     81,    422,   1008,   1403,   1529,   2606,   4262,   7645,   9918,   9919, 
/* msg =   1218, deg = 10 */    216,    690,    786,   1414,   1506,   3150,   5011,   8328,   9919,   9920, 
/* msg =   1219, deg = 10 */    199,    425,    798,   1179,   1723,   2336,   4752,   7880,   9920,   9921, 
/* msg =   1220, deg = 10 */    183,    448,    864,   1368,   1642,   2027,   5329,   8193,   9921,   9922, 
/* msg =   1221, deg = 10 */    327,    443,    854,   1220,   1506,   3057,   4469,   6908,   9922,   9923, 
/* msg =   1222, deg = 10 */     33,    696,    862,   1178,   1469,   3371,   4124,   6935,   9923,   9924, 
/* msg =   1223, deg = 10 */    326,    425,    884,   1185,   1462,   3526,   5681,   7262,   9924,   9925, 
/* msg =   1224, deg = 10 */    248,    453,    857,   1148,   1518,   1873,   5961,   7185,   9925,   9926, 
/* msg =   1225, deg = 10 */     43,    509,    886,   1341,   1457,   2789,   4495,   8101,   9926,   9927, 
/* msg =   1226, deg = 10 */     79,    429,    844,   1114,   1506,   2710,   5693,   8293,   9927,   9928, 
/* msg =   1227, deg = 10 */    175,    503,   1002,   1166,   1459,   2241,   6028,   6551,   9928,   9929, 
/* msg =   1228, deg = 10 */    150,    514,    825,   1224,   1799,   2022,   4643,   8346,   9929,   9930, 
/* msg =   1229, deg = 10 */     41,    567,   1007,   1342,   1493,   2224,   5376,   6461,   9930,   9931, 
/* msg =   1230, deg = 10 */     60,    435,    810,   1403,   1514,   2609,   3661,   6250,   9931,   9932, 
/* msg =   1231, deg = 10 */    318,    692,    913,   1432,   1444,   2295,   4760,   6217,   9932,   9933, 
/* msg =   1232, deg = 10 */    208,    471,    906,   1175,   1655,   2973,   5295,   7656,   9933,   9934, 
/* msg =   1233, deg = 10 */    221,    547,    937,   1388,   1501,   1862,   4037,   6576,   9934,   9935, 
/* msg =   1234, deg = 10 */      0,    652,    794,   1142,   1518,   3325,   5501,   6663,   9935,   9936, 
/* msg =   1235, deg = 10 */    320,    511,    783,   1266,   1614,   3307,   3764,   8249,   9936,   9937, 
/* msg =   1236, deg = 10 */     90,    445,    871,   1148,   1550,   3034,   3844,   7270,   9938,   9939, 
/* msg =   1237, deg = 10 */     82,    423,   1009,   1404,   1530,   2607,   4263,   7646,   9939,   9940, 
/* msg =   1238, deg = 10 */    217,    691,    787,   1415,   1507,   3151,   5012,   8329,   9940,   9941, 
/* msg =   1239, deg = 10 */    200,    426,    799,   1180,   1724,   2337,   4753,   7881,   9941,   9942, 
/* msg =   1240, deg = 10 */    184,    449,    865,   1369,   1643,   2028,   5330,   8194,   9942,   9943, 
/* msg =   1241, deg = 10 */    328,    444,    855,   1221,   1507,   3058,   4470,   6909,   9943,   9944, 
/* msg =   1242, deg = 10 */     34,    697,    863,   1179,   1470,   3372,   4125,   6936,   9944,   9945, 
/* msg =   1243, deg = 10 */    327,    426,    885,   1186,   1463,   3527,   5682,   7263,   9945,   9946, 
/* msg =   1244, deg = 10 */    249,    454,    858,   1149,   1519,   1874,   5962,   7186,   9946,   9947, 
/* msg =   1245, deg = 10 */     44,    510,    887,   1342,   1458,   2790,   4496,   8102,   9947,   9948, 
/* msg =   1246, deg = 10 */     80,    430,    845,   1115,   1507,   2711,   5694,   8294,   9948,   9949, 
/* msg =   1247, deg = 10 */    176,    504,   1003,   1167,   1460,   2242,   6029,   6552,   9949,   9950, 
/* msg =   1248, deg = 10 */    151,    515,    826,   1225,   1440,   2023,   4644,   8347,   9950,   9951, 
/* msg =   1249, deg = 10 */     42,    568,   1008,   1343,   1494,   2225,   5377,   6462,   9951,   9952, 
/* msg =   1250, deg = 10 */     61,    436,    811,   1404,   1515,   2610,   3662,   6251,   9952,   9953, 
/* msg =   1251, deg = 10 */    319,    693,    914,   1433,   1445,   2296,   4761,   6218,   9953,   9954, 
/* msg =   1252, deg = 10 */    209,    472,    907,   1176,   1656,   2974,   5296,   7657,   9954,   9955, 
/* msg =   1253, deg = 10 */    222,    548,    938,   1389,   1502,   1863,   4038,   6577,   9955,   9956, 
/* msg =   1254, deg = 10 */      1,    653,    795,   1143,   1519,   3326,   5502,   6664,   9956,   9957, 
/* msg =   1255, deg = 10 */    321,    512,    784,   1267,   1615,   3308,   3765,   8250,   9957,   9958, 
/* msg =   1256, deg = 10 */     91,    446,    872,   1149,   1551,   3035,   3845,   7271,   9959,   9960, 
/* msg =   1257, deg = 10 */     83,    424,   1010,   1405,   1531,   2608,   4264,   7647,   9960,   9961, 
/* msg =   1258, deg = 10 */    218,    692,    788,   1416,   1508,   3152,   5013,   8330,   9961,   9962, 
/* msg =   1259, deg = 10 */    201,    427,    800,   1181,   1725,   2338,   4754,   7882,   9962,   9963, 
/* msg =   1260, deg = 10 */    185,    450,    866,   1370,   1644,   2029,   5331,   8195,   9963,   9964, 
/* msg =   1261, deg = 10 */    329,    445,    856,   1222,   1508,   3059,   4471,   6910,   9964,   9965, 
/* msg =   1262, deg = 10 */     35,    698,    864,   1180,   1471,   3373,   4126,   6937,   9965,   9966, 
/* msg =   1263, deg = 10 */    328,    427,    886,   1187,   1464,   3528,   5683,   7264,   9966,   9967, 
/* msg =   1264, deg = 10 */    250,    455,    859,   1150,   1520,   1875,   5963,   7187,   9967,   9968, 
/* msg =   1265, deg = 10 */     45,    511,    888,   1343,   1459,   2791,   4497,   8103,   9968,   9969, 
/* msg =   1266, deg = 10 */     81,    431,    846,   1116,   1508,   2712,   5695,   8295,   9969,   9970, 
/* msg =   1267, deg = 10 */    177,    505,   1004,   1168,   1461,   2243,   6030,   6553,   9970,   9971, 
/* msg =   1268, deg = 10 */    152,    516,    827,   1226,   1441,   2024,   4645,   8348,   9971,   9972, 
/* msg =   1269, deg = 10 */     43,    569,   1009,   1344,   1495,   2226,   5378,   6463,   9972,   9973, 
/* msg =   1270, deg = 10 */     62,    437,    812,   1405,   1516,   2611,   3663,   6252,   9973,   9974, 
/* msg =   1271, deg = 10 */    320,    694,    915,   1434,   1446,   2297,   4762,   6219,   9974,   9975, 
/* msg =   1272, deg = 10 */    210,    473,    908,   1177,   1657,   2975,   5297,   7658,   9975,   9976, 
/* msg =   1273, deg = 10 */    223,    549,    939,   1390,   1503,   1864,   4039,   6578,   9976,   9977, 
/* msg =   1274, deg = 10 */      2,    654,    796,   1144,   1520,   3327,   5503,   6665,   9977,   9978, 
/* msg =   1275, deg = 10 */    322,    513,    785,   1268,   1616,   3309,   3766,   8251,   9978,   9979, 
/* msg =   1276, deg = 10 */     92,    447,    873,   1150,   1552,   3036,   3846,   7272,   9980,   9981, 
/* msg =   1277, deg = 10 */     84,    425,   1011,   1406,   1532,   2609,   4265,   7648,   9981,   9982, 
/* msg =   1278, deg = 10 */    219,    693,    789,   1417,   1509,   3153,   5014,   8331,   9982,   9983, 
/* msg =   1279, deg = 10 */    202,    428,    801,   1182,   1726,   2339,   4755,   7883,   9983,   9984, 
/* msg =   1280, deg = 10 */    186,    451,    867,   1371,   1645,   2030,   5332,   8196,   9984,   9985, 
/* msg =   1281, deg = 10 */    330,    446,    857,   1223,   1509,   3060,   4472,   6911,   9985,   9986, 
/* msg =   1282, deg = 10 */     36,    699,    865,   1181,   1472,   3374,   4127,   6938,   9986,   9987, 
/* msg =   1283, deg = 10 */    329,    428,    887,   1188,   1465,   3529,   5684,   7265,   9987,   9988, 
/* msg =   1284, deg = 10 */    251,    456,    860,   1151,   1521,   1876,   5964,   7188,   9988,   9989, 
/* msg =   1285, deg = 10 */     46,    512,    889,   1344,   1460,   2792,   4498,   8104,   9989,   9990, 
/* msg =   1286, deg = 10 */     82,    432,    847,   1117,   1509,   2713,   5696,   8296,   9990,   9991, 
/* msg =   1287, deg = 10 */    178,    506,   1005,   1169,   1462,   2244,   6031,   6554,   9991,   9992, 
/* msg =   1288, deg = 10 */    153,    517,    828,   1227,   1442,   2025,   4646,   8349,   9992,   9993, 
/* msg =   1289, deg = 10 */     44,    570,   1010,   1345,   1496,   2227,   5379,   6464,   9993,   9994, 
/* msg =   1290, deg = 10 */     63,    438,    813,   1406,   1517,   2612,   3664,   6253,   9994,   9995, 
/* msg =   1291, deg = 10 */    321,    695,    916,   1435,   1447,   2298,   4763,   6220,   9995,   9996, 
/* msg =   1292, deg = 10 */    211,    474,    909,   1178,   1658,   2976,   5298,   7659,   9996,   9997, 
/* msg =   1293, deg = 10 */    224,    550,    940,   1391,   1504,   1865,   4040,   6579,   9997,   9998, 
/* msg =   1294, deg = 10 */      3,    655,    797,   1145,   1521,   3328,   5504,   6666,   9998,   9999, 
/* msg =   1295, deg = 10 */    323,    514,    786,   1269,   1617,   3310,   3767,   8252,   9999,  10000, 
/* msg =   1296, deg = 10 */     93,    448,    874,   1151,   1553,   3037,   3847,   7273,  10001,  10002, 
/* msg =   1297, deg = 10 */     85,    426,   1012,   1407,   1533,   2610,   4266,   7649,  10002,  10003, 
/* msg =   1298, deg = 10 */    220,    694,    790,   1418,   1510,   3154,   5015,   8332,  10003,  10004, 
/* msg =   1299, deg = 10 */    203,    429,    802,   1183,   1727,   2340,   4756,   7884,  10004,  10005, 
/* msg =   1300, deg = 10 */    187,    452,    868,   1372,   1646,   2031,   5333,   8197,  10005,  10006, 
/* msg =   1301, deg = 10 */    331,    447,    858,   1224,   1510,   3061,   4473,   6912,  10006,  10007, 
/* msg =   1302, deg = 10 */     37,    700,    866,   1182,   1473,   3375,   4128,   6939,  10007,  10008, 
/* msg =   1303, deg = 10 */    330,    429,    888,   1189,   1466,   3530,   5685,   7266,  10008,  10009, 
/* msg =   1304, deg = 10 */    252,    457,    861,   1152,   1522,   1877,   5965,   7189,  10009,  10010, 
/* msg =   1305, deg = 10 */     47,    513,    890,   1345,   1461,   2793,   4499,   8105,  10010,  10011, 
/* msg =   1306, deg = 10 */     83,    433,    848,   1118,   1510,   2714,   5697,   8297,  10011,  10012, 
/* msg =   1307, deg = 10 */    179,    507,   1006,   1170,   1463,   2245,   6032,   6555,  10012,  10013, 
/* msg =   1308, deg = 10 */    154,    518,    829,   1228,   1443,   2026,   4647,   8350,  10013,  10014, 
/* msg =   1309, deg = 10 */     45,    571,   1011,   1346,   1497,   2228,   5380,   6465,  10014,  10015, 
/* msg =   1310, deg = 10 */     64,    439,    814,   1407,   1518,   2613,   3665,   6254,  10015,  10016, 
/* msg =   1311, deg = 10 */    322,    696,    917,   1436,   1448,   2299,   4764,   6221,  10016,  10017, 
/* msg =   1312, deg = 10 */    212,    475,    910,   1179,   1659,   2977,   5299,   7660,  10017,  10018, 
/* msg =   1313, deg = 10 */    225,    551,    941,   1392,   1505,   1866,   4041,   6580,  10018,  10019, 
/* msg =   1314, deg = 10 */      4,    656,    798,   1146,   1522,   3329,   5505,   6667,  10019,  10020, 
/* msg =   1315, deg = 10 */    324,    515,    787,   1270,   1618,   3311,   3768,   8253,  10020,  10021, 
/* msg =   1316, deg = 10 */     94,    449,    875,   1152,   1554,   3038,   3848,   7274,  10022,  10023, 
/* msg =   1317, deg = 10 */     86,    427,   1013,   1408,   1534,   2611,   4267,   7650,  10023,  10024, 
/* msg =   1318, deg = 10 */    221,    695,    791,   1419,   1511,   3155,   5016,   8333,  10024,  10025, 
/* msg =   1319, deg = 10 */    204,    430,    803,   1184,   1728,   2341,   4757,   7885,  10025,  10026, 
/* msg =   1320, deg = 10 */    188,    453,    869,   1373,   1647,   2032,   5334,   8198,  10026,  10027, 
/* msg =   1321, deg = 10 */    332,    448,    859,   1225,   1511,   3062,   4474,   6913,  10027,  10028, 
/* msg =   1322, deg = 10 */     38,    701,    867,   1183,   1474,   3376,   4129,   6940,  10028,  10029, 
/* msg =   1323, deg = 10 */    331,    430,    889,   1190,   1467,   3531,   5686,   7267,  10029,  10030, 
/* msg =   1324, deg = 10 */    253,    458,    862,   1153,   1523,   1878,   5966,   7190,  10030,  10031, 
/* msg =   1325, deg = 10 */     48,    514,    891,   1346,   1462,   2794,   4500,   8106,  10031,  10032, 
/* msg =   1326, deg = 10 */     84,    434,    849,   1119,   1511,   2715,   5698,   8298,  10032,  10033, 
/* msg =   1327, deg = 10 */    180,    508,   1007,   1171,   1464,   2246,   6033,   6556,  10033,  10034, 
/* msg =   1328, deg = 10 */    155,    519,    830,   1229,   1444,   2027,   4648,   8351,  10034,  10035, 
/* msg =   1329, deg = 10 */     46,    572,   1012,   1347,   1498,   2229,   5381,   6466,  10035,  10036, 
/* msg =   1330, deg = 10 */     65,    440,    815,   1408,   1519,   2614,   3666,   6255,  10036,  10037, 
/* msg =   1331, deg = 10 */    323,    697,    918,   1437,   1449,   2300,   4765,   6222,  10037,  10038, 
/* msg =   1332, deg = 10 */    213,    476,    911,   1180,   1660,   2978,   5300,   7661,  10038,  10039, 
/* msg =   1333, deg = 10 */    226,    552,    942,   1393,   1506,   1867,   4042,   6581,  10039,  10040, 
/* msg =   1334, deg = 10 */      5,    657,    799,   1147,   1523,   3330,   5506,   6668,  10040,  10041, 
/* msg =   1335, deg = 10 */    325,    516,    788,   1271,   1619,   3312,   3769,   8254,  10041,  10042, 
/* msg =   1336, deg = 10 */     95,    450,    876,   1153,   1555,   3039,   3849,   7275,  10043,  10044, 
/* msg =   1337, deg = 10 */     87,    428,   1014,   1409,   1535,   2612,   4268,   7651,  10044,  10045, 
/* msg =   1338, deg = 10 */    222,    696,    792,   1420,   1512,   3156,   5017,   8334,  10045,  10046, 
/* msg =   1339, deg = 10 */    205,    431,    804,   1185,   1729,   2342,   4758,   7886,  10046,  10047, 
/* msg =   1340, deg = 10 */    189,    454,    870,   1374,   1648,   2033,   5335,   8199,  10047,  10048, 
/* msg =   1341, deg = 10 */    333,    449,    860,   1226,   1512,   3063,   4475,   6914,  10048,  10049, 
/* msg =   1342, deg = 10 */     39,    702,    868,   1184,   1475,   3377,   4130,   6941,  10049,  10050, 
/* msg =   1343, deg = 10 */    332,    431,    890,   1191,   1468,   3532,   5687,   7268,  10050,  10051, 
/* msg =   1344, deg = 10 */    254,    459,    863,   1154,   1524,   1879,   5967,   7191,  10051,  10052, 
/* msg =   1345, deg = 10 */     49,    515,    892,   1347,   1463,   2795,   4501,   8107,  10052,  10053, 
/* msg =   1346, deg = 10 */     85,    435,    850,   1120,   1512,   2716,   5699,   8299,  10053,  10054, 
/* msg =   1347, deg = 10 */    181,    509,   1008,   1172,   1465,   2247,   6034,   6557,  10054,  10055, 
/* msg =   1348, deg = 10 */    156,    520,    831,   1230,   1445,   2028,   4649,   8352,  10055,  10056, 
/* msg =   1349, deg = 10 */     47,    573,   1013,   1348,   1499,   2230,   5382,   6467,  10056,  10057, 
/* msg =   1350, deg = 10 */     66,    441,    816,   1409,   1520,   2615,   3667,   6256,  10057,  10058, 
/* msg =   1351, deg = 10 */    324,    698,    919,   1438,   1450,   2301,   4766,   6223,  10058,  10059, 
/* msg =   1352, deg = 10 */    214,    477,    912,   1181,   1661,   2979,   5301,   7662,  10059,  10060, 
/* msg =   1353, deg = 10 */    227,    553,    943,   1394,   1507,   1868,   4043,   6582,  10060,  10061, 
/* msg =   1354, deg = 10 */      6,    658,    800,   1148,   1524,   3331,   5507,   6669,  10061,  10062, 
/* msg =   1355, deg = 10 */    326,    517,    789,   1272,   1620,   3313,   3770,   8255,  10062,  10063, 
/* msg =   1356, deg = 10 */     96,    451,    877,   1154,   1556,   3040,   3850,   7276,  10064,  10065, 
/* msg =   1357, deg = 10 */     88,    429,   1015,   1410,   1536,   2613,   4269,   7652,  10065,  10066, 
/* msg =   1358, deg = 10 */    223,    697,    793,   1421,   1513,   3157,   5018,   8335,  10066,  10067, 
/* msg =   1359, deg = 10 */    206,    432,    805,   1186,   1730,   2343,   4759,   7887,  10067,  10068, 
/* msg =   1360, deg = 10 */    190,    455,    871,   1375,   1649,   2034,   5336,   8200,  10068,  10069, 
/* msg =   1361, deg = 10 */    334,    450,    861,   1227,   1513,   3064,   4476,   6915,  10069,  10070, 
/* msg =   1362, deg = 10 */     40,    703,    869,   1185,   1476,   3378,   4131,   6942,  10070,  10071, 
/* msg =   1363, deg = 10 */    333,    432,    891,   1192,   1469,   3533,   5688,   7269,  10071,  10072, 
/* msg =   1364, deg = 10 */    255,    460,    864,   1155,   1525,   1880,   5968,   7192,  10072,  10073, 
/* msg =   1365, deg = 10 */     50,    516,    893,   1348,   1464,   2796,   4502,   8108,  10073,  10074, 
/* msg =   1366, deg = 10 */     86,    436,    851,   1121,   1513,   2717,   5700,   8300,  10074,  10075, 
/* msg =   1367, deg = 10 */    182,    510,   1009,   1173,   1466,   2248,   6035,   6558,  10075,  10076, 
/* msg =   1368, deg = 10 */    157,    521,    832,   1231,   1446,   2029,   4650,   8353,  10076,  10077, 
/* msg =   1369, deg = 10 */     48,    574,   1014,   1349,   1500,   2231,   5383,   6468,  10077,  10078, 
/* msg =   1370, deg = 10 */     67,    442,    817,   1410,   1521,   2616,   3668,   6257,  10078,  10079, 
/* msg =   1371, deg = 10 */    325,    699,    920,   1439,   1451,   2302,   4767,   6224,  10079,  10080, 
/* msg =   1372, deg = 10 */    215,    478,    913,   1182,   1662,   2980,   5302,   7663,  10080,  10081, 
/* msg =   1373, deg = 10 */    228,    554,    944,   1395,   1508,   1869,   4044,   6583,  10081,  10082, 
/* msg =   1374, deg = 10 */      7,    659,    801,   1149,   1525,   3332,   5508,   6670,  10082,  10083, 
/* msg =   1375, deg = 10 */    327,    518,    790,   1273,   1621,   3314,   3771,   8256,  10083,  10084, 
/* msg =   1376, deg = 10 */     97,    452,    878,   1155,   1557,   3041,   3851,   7277,  10085,  10086, 
/* msg =   1377, deg = 10 */     89,    430,   1016,   1411,   1537,   2614,   4270,   7653,  10086,  10087, 
/* msg =   1378, deg = 10 */    224,    698,    794,   1422,   1514,   3158,   5019,   8336,  10087,  10088, 
/* msg =   1379, deg = 10 */    207,    433,    806,   1187,   1731,   2344,   4760,   7888,  10088,  10089, 
/* msg =   1380, deg = 10 */    191,    456,    872,   1376,   1650,   2035,   5337,   8201,  10089,  10090, 
/* msg =   1381, deg = 10 */    335,    451,    862,   1228,   1514,   3065,   4477,   6916,  10090,  10091, 
/* msg =   1382, deg = 10 */     41,    704,    870,   1186,   1477,   3379,   4132,   6943,  10091,  10092, 
/* msg =   1383, deg = 10 */    334,    433,    892,   1193,   1470,   3534,   5689,   7270,  10092,  10093, 
/* msg =   1384, deg = 10 */    256,    461,    865,   1156,   1526,   1881,   5969,   7193,  10093,  10094, 
/* msg =   1385, deg = 10 */     51,    517,    894,   1349,   1465,   2797,   4503,   8109,  10094,  10095, 
/* msg =   1386, deg = 10 */     87,    437,    852,   1122,   1514,   2718,   5701,   8301,  10095,  10096, 
/* msg =   1387, deg = 10 */    183,    511,   1010,   1174,   1467,   2249,   6036,   6559,  10096,  10097, 
/* msg =   1388, deg = 10 */    158,    522,    833,   1232,   1447,   2030,   4651,   8354,  10097,  10098, 
/* msg =   1389, deg = 10 */     49,    575,   1015,   1350,   1501,   2232,   5384,   6469,  10098,  10099, 
/* msg =   1390, deg = 10 */     68,    443,    818,   1411,   1522,   2617,   3669,   6258,  10099,  10100, 
/* msg =   1391, deg = 10 */    326,    700,    921,   1080,   1452,   2303,   4768,   6225,  10100,  10101, 
/* msg =   1392, deg = 10 */    216,    479,    914,   1183,   1663,   2981,   5303,   7664,  10101,  10102, 
/* msg =   1393, deg = 10 */    229,    555,    945,   1396,   1509,   1870,   4045,   6584,  10102,  10103, 
/* msg =   1394, deg = 10 */      8,    660,    802,   1150,   1526,   3333,   5509,   6671,  10103,  10104, 
/* msg =   1395, deg = 10 */    328,    519,    791,   1274,   1622,   3315,   3772,   8257,  10104,  10105, 
/* msg =   1396, deg = 10 */     98,    453,    879,   1156,   1558,   3042,   3852,   7278,  10106,  10107, 
/* msg =   1397, deg = 10 */     90,    431,   1017,   1412,   1538,   2615,   4271,   7654,  10107,  10108, 
/* msg =   1398, deg = 10 */    225,    699,    795,   1423,   1515,   3159,   5020,   8337,  10108,  10109, 
/* msg =   1399, deg = 10 */    208,    434,    807,   1188,   1732,   2345,   4761,   7889,  10109,  10110, 
/* msg =   1400, deg = 10 */    192,    457,    873,   1377,   1651,   2036,   5338,   8202,  10110,  10111, 
/* msg =   1401, deg = 10 */    336,    452,    863,   1229,   1515,   3066,   4478,   6917,  10111,  10112, 
/* msg =   1402, deg = 10 */     42,    705,    871,   1187,   1478,   3380,   4133,   6944,  10112,  10113, 
/* msg =   1403, deg = 10 */    335,    434,    893,   1194,   1471,   3535,   5690,   7271,  10113,  10114, 
/* msg =   1404, deg = 10 */    257,    462,    866,   1157,   1527,   1882,   5970,   7194,  10114,  10115, 
/* msg =   1405, deg = 10 */     52,    518,    895,   1350,   1466,   2798,   4504,   8110,  10115,  10116, 
/* msg =   1406, deg = 10 */     88,    438,    853,   1123,   1515,   2719,   5702,   8302,  10116,  10117, 
/* msg =   1407, deg = 10 */    184,    512,   1011,   1175,   1468,   2250,   6037,   6560,  10117,  10118, 
/* msg =   1408, deg = 10 */    159,    523,    834,   1233,   1448,   2031,   4652,   8355,  10118,  10119, 
/* msg =   1409, deg = 10 */     50,    576,   1016,   1351,   1502,   2233,   5385,   6470,  10119,  10120, 
/* msg =   1410, deg = 10 */     69,    444,    819,   1412,   1523,   2618,   3670,   6259,  10120,  10121, 
/* msg =   1411, deg = 10 */    327,    701,    922,   1081,   1453,   2304,   4769,   6226,  10121,  10122, 
/* msg =   1412, deg = 10 */    217,    480,    915,   1184,   1664,   2982,   5304,   7665,  10122,  10123, 
/* msg =   1413, deg = 10 */    230,    556,    946,   1397,   1510,   1871,   4046,   6585,  10123,  10124, 
/* msg =   1414, deg = 10 */      9,    661,    803,   1151,   1527,   3334,   5510,   6672,  10124,  10125, 
/* msg =   1415, deg = 10 */    329,    520,    792,   1275,   1623,   3316,   3773,   8258,  10125,  10126, 
/* msg =   1416, deg = 10 */     99,    454,    880,   1157,   1559,   3043,   3853,   7279,  10127,  10128, 
/* msg =   1417, deg = 10 */     91,    432,   1018,   1413,   1539,   2616,   4272,   7655,  10128,  10129, 
/* msg =   1418, deg = 10 */    226,    700,    796,   1424,   1516,   3160,   5021,   8338,  10129,  10130, 
/* msg =   1419, deg = 10 */    209,    435,    808,   1189,   1733,   2346,   4762,   7890,  10130,  10131, 
/* msg =   1420, deg = 10 */    193,    458,    874,   1378,   1652,   2037,   5339,   8203,  10131,  10132, 
/* msg =   1421, deg = 10 */    337,    453,    864,   1230,   1516,   3067,   4479,   6918,  10132,  10133, 
/* msg =   1422, deg = 10 */     43,    706,    872,   1188,   1479,   3381,   4134,   6945,  10133,  10134, 
/* msg =   1423, deg = 10 */    336,    435,    894,   1195,   1472,   3536,   5691,   7272,  10134,  10135, 
/* msg =   1424, deg = 10 */    258,    463,    867,   1158,   1528,   1883,   5971,   7195,  10135,  10136, 
/* msg =   1425, deg = 10 */     53,    519,    896,   1351,   1467,   2799,   4505,   8111,  10136,  10137, 
/* msg =   1426, deg = 10 */     89,    439,    854,   1124,   1516,   2720,   5703,   8303,  10137,  10138, 
/* msg =   1427, deg = 10 */    185,    513,   1012,   1176,   1469,   2251,   6038,   6561,  10138,  10139, 
/* msg =   1428, deg = 10 */    160,    524,    835,   1234,   1449,   2032,   4653,   8356,  10139,  10140, 
/* msg =   1429, deg = 10 */     51,    577,   1017,   1352,   1503,   2234,   5386,   6471,  10140,  10141, 
/* msg =   1430, deg = 10 */     70,    445,    820,   1413,   1524,   2619,   3671,   6260,  10141,  10142, 
/* msg =   1431, deg = 10 */    328,    702,    923,   1082,   1454,   2305,   4770,   6227,  10142,  10143, 
/* msg =   1432, deg = 10 */    218,    481,    916,   1185,   1665,   2983,   5305,   7666,  10143,  10144, 
/* msg =   1433, deg = 10 */    231,    557,    947,   1398,   1511,   1872,   4047,   6586,  10144,  10145, 
/* msg =   1434, deg = 10 */     10,    662,    804,   1152,   1528,   3335,   5511,   6673,  10145,  10146, 
/* msg =   1435, deg = 10 */    330,    521,    793,   1276,   1624,   3317,   3774,   8259,  10146,  10147, 
/* msg =   1436, deg = 10 */    100,    455,    881,   1158,   1560,   3044,   3854,   7280,  10148,  10149, 
/* msg =   1437, deg = 10 */     92,    433,   1019,   1414,   1540,   2617,   4273,   7656,  10149,  10150, 
/* msg =   1438, deg = 10 */    227,    701,    797,   1425,   1517,   3161,   5022,   8339,  10150,  10151, 
/* msg =   1439, deg = 10 */    210,    436,    809,   1190,   1734,   2347,   4763,   7891,  10151,  10152, 
/* msg =   1440, deg = 10 */    194,    459,    875,   1379,   1653,   2038,   5340,   8204,  10152,  10153, 
/* msg =   1441, deg = 10 */    338,    454,    865,   1231,   1517,   3068,   4480,   6919,  10153,  10154, 
/* msg =   1442, deg = 10 */     44,    707,    873,   1189,   1480,   3382,   4135,   6946,  10154,  10155, 
/* msg =   1443, deg = 10 */    337,    436,    895,   1196,   1473,   3537,   5692,   7273,  10155,  10156, 
/* msg =   1444, deg = 10 */    259,    464,    868,   1159,   1529,   1884,   5972,   7196,  10156,  10157, 
/* msg =   1445, deg = 10 */     54,    520,    897,   1352,   1468,   2800,   4506,   8112,  10157,  10158, 
/* msg =   1446, deg = 10 */     90,    440,    855,   1125,   1517,   2721,   5704,   8304,  10158,  10159, 
/* msg =   1447, deg = 10 */    186,    514,   1013,   1177,   1470,   2252,   6039,   6562,  10159,  10160, 
/* msg =   1448, deg = 10 */    161,    525,    836,   1235,   1450,   2033,   4654,   8357,  10160,  10161, 
/* msg =   1449, deg = 10 */     52,    578,   1018,   1353,   1504,   2235,   5387,   6472,  10161,  10162, 
/* msg =   1450, deg = 10 */     71,    446,    821,   1414,   1525,   2620,   3672,   6261,  10162,  10163, 
/* msg =   1451, deg = 10 */    329,    703,    924,   1083,   1455,   2306,   4771,   6228,  10163,  10164, 
/* msg =   1452, deg = 10 */    219,    482,    917,   1186,   1666,   2984,   5306,   7667,  10164,  10165, 
/* msg =   1453, deg = 10 */    232,    558,    948,   1399,   1512,   1873,   4048,   6587,  10165,  10166, 
/* msg =   1454, deg = 10 */     11,    663,    805,   1153,   1529,   3336,   5512,   6674,  10166,  10167, 
/* msg =   1455, deg = 10 */    331,    522,    794,   1277,   1625,   3318,   3775,   8260,  10167,  10168, 
/* msg =   1456, deg = 10 */    101,    456,    882,   1159,   1561,   3045,   3855,   7281,  10169,  10170, 
/* msg =   1457, deg = 10 */     93,    434,   1020,   1415,   1541,   2618,   4274,   7657,  10170,  10171, 
/* msg =   1458, deg = 10 */    228,    702,    798,   1426,   1518,   3162,   5023,   8340,  10171,  10172, 
/* msg =   1459, deg = 10 */    211,    437,    810,   1191,   1735,   2348,   4764,   7892,  10172,  10173, 
/* msg =   1460, deg = 10 */    195,    460,    876,   1380,   1654,   2039,   5341,   8205,  10173,  10174, 
/* msg =   1461, deg = 10 */    339,    455,    866,   1232,   1518,   3069,   4481,   6920,  10174,  10175, 
/* msg =   1462, deg = 10 */     45,    708,    874,   1190,   1481,   3383,   4136,   6947,  10175,  10176, 
/* msg =   1463, deg = 10 */    338,    437,    896,   1197,   1474,   3538,   5693,   7274,  10176,  10177, 
/* msg =   1464, deg = 10 */    260,    465,    869,   1160,   1530,   1885,   5973,   7197,  10177,  10178, 
/* msg =   1465, deg = 10 */     55,    521,    898,   1353,   1469,   2801,   4507,   8113,  10178,  10179, 
/* msg =   1466, deg = 10 */     91,    441,    856,   1126,   1518,   2722,   5705,   8305,  10179,  10180, 
/* msg =   1467, deg = 10 */    187,    515,   1014,   1178,   1471,   2253,   6040,   6563,  10180,  10181, 
/* msg =   1468, deg = 10 */    162,    526,    837,   1236,   1451,   2034,   4655,   8358,  10181,  10182, 
/* msg =   1469, deg = 10 */     53,    579,   1019,   1354,   1505,   2236,   5388,   6473,  10182,  10183, 
/* msg =   1470, deg = 10 */     72,    447,    822,   1415,   1526,   2621,   3673,   6262,  10183,  10184, 
/* msg =   1471, deg = 10 */    330,    704,    925,   1084,   1456,   2307,   4772,   6229,  10184,  10185, 
/* msg =   1472, deg = 10 */    220,    483,    918,   1187,   1667,   2985,   5307,   7668,  10185,  10186, 
/* msg =   1473, deg = 10 */    233,    559,    949,   1400,   1513,   1874,   4049,   6588,  10186,  10187, 
/* msg =   1474, deg = 10 */     12,    664,    806,   1154,   1530,   3337,   5513,   6675,  10187,  10188, 
/* msg =   1475, deg = 10 */    332,    523,    795,   1278,   1626,   3319,   3776,   8261,  10188,  10189, 
/* msg =   1476, deg = 10 */    102,    457,    883,   1160,   1562,   3046,   3856,   7282,  10190,  10191, 
/* msg =   1477, deg = 10 */     94,    435,   1021,   1416,   1542,   2619,   4275,   7658,  10191,  10192, 
/* msg =   1478, deg = 10 */    229,    703,    799,   1427,   1519,   3163,   5024,   8341,  10192,  10193, 
/* msg =   1479, deg = 10 */    212,    438,    811,   1192,   1736,   2349,   4765,   7893,  10193,  10194, 
/* msg =   1480, deg = 10 */    196,    461,    877,   1381,   1655,   2040,   5342,   8206,  10194,  10195, 
/* msg =   1481, deg = 10 */    340,    456,    867,   1233,   1519,   3070,   4482,   6921,  10195,  10196, 
/* msg =   1482, deg = 10 */     46,    709,    875,   1191,   1482,   3384,   4137,   6948,  10196,  10197, 
/* msg =   1483, deg = 10 */    339,    438,    897,   1198,   1475,   3539,   5694,   7275,  10197,  10198, 
/* msg =   1484, deg = 10 */    261,    466,    870,   1161,   1531,   1886,   5974,   7198,  10198,  10199, 
/* msg =   1485, deg = 10 */     56,    522,    899,   1354,   1470,   2802,   4508,   8114,  10199,  10200, 
/* msg =   1486, deg = 10 */     92,    442,    857,   1127,   1519,   2723,   5706,   8306,  10200,  10201, 
/* msg =   1487, deg = 10 */    188,    516,   1015,   1179,   1472,   2254,   6041,   6564,  10201,  10202, 
/* msg =   1488, deg = 10 */    163,    527,    838,   1237,   1452,   2035,   4656,   8359,  10202,  10203, 
/* msg =   1489, deg = 10 */     54,    580,   1020,   1355,   1506,   2237,   5389,   6474,  10203,  10204, 
/* msg =   1490, deg = 10 */     73,    448,    823,   1416,   1527,   2622,   3674,   6263,  10204,  10205, 
/* msg =   1491, deg = 10 */    331,    705,    926,   1085,   1457,   2308,   4773,   6230,  10205,  10206, 
/* msg =   1492, deg = 10 */    221,    484,    919,   1188,   1668,   2986,   5308,   7669,  10206,  10207, 
/* msg =   1493, deg = 10 */    234,    560,    950,   1401,   1514,   1875,   4050,   6589,  10207,  10208, 
/* msg =   1494, deg = 10 */     13,    665,    807,   1155,   1531,   3338,   5514,   6676,  10208,  10209, 
/* msg =   1495, deg = 10 */    333,    524,    796,   1279,   1627,   3320,   3777,   8262,  10209,  10210, 
/* msg =   1496, deg = 10 */    103,    458,    884,   1161,   1563,   3047,   3857,   7283,  10211,  10212, 
/* msg =   1497, deg = 10 */     95,    436,   1022,   1417,   1543,   2620,   4276,   7659,  10212,  10213, 
/* msg =   1498, deg = 10 */    230,    704,    800,   1428,   1520,   3164,   5025,   8342,  10213,  10214, 
/* msg =   1499, deg = 10 */    213,    439,    812,   1193,   1737,   2350,   4766,   7894,  10214,  10215, 
/* msg =   1500, deg = 10 */    197,    462,    878,   1382,   1656,   2041,   5343,   8207,  10215,  10216, 
/* msg =   1501, deg = 10 */    341,    457,    868,   1234,   1520,   3071,   4483,   6922,  10216,  10217, 
/* msg =   1502, deg = 10 */     47,    710,    876,   1192,   1483,   3385,   4138,   6949,  10217,  10218, 
/* msg =   1503, deg = 10 */    340,    439,    898,   1199,   1476,   3540,   5695,   7276,  10218,  10219, 
/* msg =   1504, deg = 10 */    262,    467,    871,   1162,   1532,   1887,   5975,   7199,  10219,  10220, 
/* msg =   1505, deg = 10 */     57,    523,    900,   1355,   1471,   2803,   4509,   8115,  10220,  10221, 
/* msg =   1506, deg = 10 */     93,    443,    858,   1128,   1520,   2724,   5707,   8307,  10221,  10222, 
/* msg =   1507, deg = 10 */    189,    517,   1016,   1180,   1473,   2255,   6042,   6565,  10222,  10223, 
/* msg =   1508, deg = 10 */    164,    528,    839,   1238,   1453,   2036,   4657,   8360,  10223,  10224, 
/* msg =   1509, deg = 10 */     55,    581,   1021,   1356,   1507,   2238,   5390,   6475,  10224,  10225, 
/* msg =   1510, deg = 10 */     74,    449,    824,   1417,   1528,   2623,   3675,   6264,  10225,  10226, 
/* msg =   1511, deg = 10 */    332,    706,    927,   1086,   1458,   2309,   4774,   6231,  10226,  10227, 
/* msg =   1512, deg = 10 */    222,    485,    920,   1189,   1669,   2987,   5309,   7670,  10227,  10228, 
/* msg =   1513, deg = 10 */    235,    561,    951,   1402,   1515,   1876,   4051,   6590,  10228,  10229, 
/* msg =   1514, deg = 10 */     14,    666,    808,   1156,   1532,   3339,   5515,   6677,  10229,  10230, 
/* msg =   1515, deg = 10 */    334,    525,    797,   1280,   1628,   3321,   3778,   8263,  10230,  10231, 
/* msg =   1516, deg = 10 */    104,    459,    885,   1162,   1564,   3048,   3858,   7284,  10232,  10233, 
/* msg =   1517, deg = 10 */     96,    437,   1023,   1418,   1544,   2621,   4277,   7660,  10233,  10234, 
/* msg =   1518, deg = 10 */    231,    705,    801,   1429,   1521,   3165,   5026,   8343,  10234,  10235, 
/* msg =   1519, deg = 10 */    214,    440,    813,   1194,   1738,   2351,   4767,   7895,  10235,  10236, 
/* msg =   1520, deg = 10 */    198,    463,    879,   1383,   1657,   2042,   5344,   8208,  10236,  10237, 
/* msg =   1521, deg = 10 */    342,    458,    869,   1235,   1521,   3072,   4484,   6923,  10237,  10238, 
/* msg =   1522, deg = 10 */     48,    711,    877,   1193,   1484,   3386,   4139,   6950,  10238,  10239, 
/* msg =   1523, deg = 10 */    341,    440,    899,   1200,   1477,   3541,   5696,   7277,  10239,  10240, 
/* msg =   1524, deg = 10 */    263,    468,    872,   1163,   1533,   1888,   5976,   6840,  10240,  10241, 
/* msg =   1525, deg = 10 */     58,    524,    901,   1356,   1472,   2804,   4510,   8116,  10241,  10242, 
/* msg =   1526, deg = 10 */     94,    444,    859,   1129,   1521,   2725,   5708,   8308,  10242,  10243, 
/* msg =   1527, deg = 10 */    190,    518,   1017,   1181,   1474,   2256,   6043,   6566,  10243,  10244, 
/* msg =   1528, deg = 10 */    165,    529,    840,   1239,   1454,   2037,   4658,   8361,  10244,  10245, 
/* msg =   1529, deg = 10 */     56,    582,   1022,   1357,   1508,   2239,   5391,   6476,  10245,  10246, 
/* msg =   1530, deg = 10 */     75,    450,    825,   1418,   1529,   2624,   3676,   6265,  10246,  10247, 
/* msg =   1531, deg = 10 */    333,    707,    928,   1087,   1459,   2310,   4775,   6232,  10247,  10248, 
/* msg =   1532, deg = 10 */    223,    486,    921,   1190,   1670,   2988,   5310,   7671,  10248,  10249, 
/* msg =   1533, deg = 10 */    236,    562,    952,   1403,   1516,   1877,   4052,   6591,  10249,  10250, 
/* msg =   1534, deg = 10 */     15,    667,    809,   1157,   1533,   3340,   5516,   6678,  10250,  10251, 
/* msg =   1535, deg = 10 */    335,    526,    798,   1281,   1629,   3322,   3779,   8264,  10251,  10252, 
/* msg =   1536, deg = 10 */    105,    460,    886,   1163,   1565,   3049,   3859,   7285,  10253,  10254, 
/* msg =   1537, deg = 10 */     97,    438,   1024,   1419,   1545,   2622,   4278,   7661,  10254,  10255, 
/* msg =   1538, deg = 10 */    232,    706,    802,   1430,   1522,   3166,   5027,   8344,  10255,  10256, 
/* msg =   1539, deg = 10 */    215,    441,    814,   1195,   1739,   2352,   4768,   7896,  10256,  10257, 
/* msg =   1540, deg = 10 */    199,    464,    880,   1384,   1658,   2043,   5345,   8209,  10257,  10258, 
/* msg =   1541, deg = 10 */    343,    459,    870,   1236,   1522,   3073,   4485,   6924,  10258,  10259, 
/* msg =   1542, deg = 10 */     49,    712,    878,   1194,   1485,   3387,   4140,   6951,  10259,  10260, 
/* msg =   1543, deg = 10 */    342,    441,    900,   1201,   1478,   3542,   5697,   7278,  10260,  10261, 
/* msg =   1544, deg = 10 */    264,    469,    873,   1164,   1534,   1889,   5977,   6841,  10261,  10262, 
/* msg =   1545, deg = 10 */     59,    525,    902,   1357,   1473,   2805,   4511,   8117,  10262,  10263, 
/* msg =   1546, deg = 10 */     95,    445,    860,   1130,   1522,   2726,   5709,   8309,  10263,  10264, 
/* msg =   1547, deg = 10 */    191,    519,   1018,   1182,   1475,   2257,   6044,   6567,  10264,  10265, 
/* msg =   1548, deg = 10 */    166,    530,    841,   1240,   1455,   2038,   4659,   8362,  10265,  10266, 
/* msg =   1549, deg = 10 */     57,    583,   1023,   1358,   1509,   2240,   5392,   6477,  10266,  10267, 
/* msg =   1550, deg = 10 */     76,    451,    826,   1419,   1530,   2625,   3677,   6266,  10267,  10268, 
/* msg =   1551, deg = 10 */    334,    708,    929,   1088,   1460,   2311,   4776,   6233,  10268,  10269, 
/* msg =   1552, deg = 10 */    224,    487,    922,   1191,   1671,   2989,   5311,   7672,  10269,  10270, 
/* msg =   1553, deg = 10 */    237,    563,    953,   1404,   1517,   1878,   4053,   6592,  10270,  10271, 
/* msg =   1554, deg = 10 */     16,    668,    810,   1158,   1534,   3341,   5517,   6679,  10271,  10272, 
/* msg =   1555, deg = 10 */    336,    527,    799,   1282,   1630,   3323,   3780,   8265,  10272,  10273, 
/* msg =   1556, deg = 10 */    106,    461,    887,   1164,   1566,   3050,   3860,   7286,  10274,  10275, 
/* msg =   1557, deg = 10 */     98,    439,   1025,   1420,   1546,   2623,   4279,   7662,  10275,  10276, 
/* msg =   1558, deg = 10 */    233,    707,    803,   1431,   1523,   3167,   5028,   8345,  10276,  10277, 
/* msg =   1559, deg = 10 */    216,    442,    815,   1196,   1740,   2353,   4769,   7897,  10277,  10278, 
/* msg =   1560, deg = 10 */    200,    465,    881,   1385,   1659,   2044,   5346,   8210,  10278,  10279, 
/* msg =   1561, deg = 10 */    344,    460,    871,   1237,   1523,   3074,   4486,   6925,  10279,  10280, 
/* msg =   1562, deg = 10 */     50,    713,    879,   1195,   1486,   3388,   4141,   6952,  10280,  10281, 
/* msg =   1563, deg = 10 */    343,    442,    901,   1202,   1479,   3543,   5698,   7279,  10281,  10282, 
/* msg =   1564, deg = 10 */    265,    470,    874,   1165,   1535,   1890,   5978,   6842,  10282,  10283, 
/* msg =   1565, deg = 10 */     60,    526,    903,   1358,   1474,   2806,   4512,   8118,  10283,  10284, 
/* msg =   1566, deg = 10 */     96,    446,    861,   1131,   1523,   2727,   5710,   8310,  10284,  10285, 
/* msg =   1567, deg = 10 */    192,    520,   1019,   1183,   1476,   2258,   6045,   6568,  10285,  10286, 
/* msg =   1568, deg = 10 */    167,    531,    842,   1241,   1456,   2039,   4660,   8363,  10286,  10287, 
/* msg =   1569, deg = 10 */     58,    584,   1024,   1359,   1510,   2241,   5393,   6478,  10287,  10288, 
/* msg =   1570, deg = 10 */     77,    452,    827,   1420,   1531,   2626,   3678,   6267,  10288,  10289, 
/* msg =   1571, deg = 10 */    335,    709,    930,   1089,   1461,   2312,   4777,   6234,  10289,  10290, 
/* msg =   1572, deg = 10 */    225,    488,    923,   1192,   1672,   2990,   5312,   7673,  10290,  10291, 
/* msg =   1573, deg = 10 */    238,    564,    954,   1405,   1518,   1879,   4054,   6593,  10291,  10292, 
/* msg =   1574, deg = 10 */     17,    669,    811,   1159,   1535,   3342,   5518,   6680,  10292,  10293, 
/* msg =   1575, deg = 10 */    337,    528,    800,   1283,   1631,   3324,   3781,   8266,  10293,  10294, 
/* msg =   1576, deg = 10 */    107,    462,    888,   1165,   1567,   3051,   3861,   7287,  10295,  10296, 
/* msg =   1577, deg = 10 */     99,    440,   1026,   1421,   1547,   2624,   4280,   7663,  10296,  10297, 
/* msg =   1578, deg = 10 */    234,    708,    804,   1432,   1524,   3168,   5029,   8346,  10297,  10298, 
/* msg =   1579, deg = 10 */    217,    443,    816,   1197,   1741,   2354,   4770,   7898,  10298,  10299, 
/* msg =   1580, deg = 10 */    201,    466,    882,   1386,   1660,   2045,   5347,   8211,  10299,  10300, 
/* msg =   1581, deg = 10 */    345,    461,    872,   1238,   1524,   3075,   4487,   6926,  10300,  10301, 
/* msg =   1582, deg = 10 */     51,    714,    880,   1196,   1487,   3389,   4142,   6953,  10301,  10302, 
/* msg =   1583, deg = 10 */    344,    443,    902,   1203,   1480,   3544,   5699,   7280,  10302,  10303, 
/* msg =   1584, deg = 10 */    266,    471,    875,   1166,   1536,   1891,   5979,   6843,  10303,  10304, 
/* msg =   1585, deg = 10 */     61,    527,    904,   1359,   1475,   2807,   4513,   8119,  10304,  10305, 
/* msg =   1586, deg = 10 */     97,    447,    862,   1132,   1524,   2728,   5711,   8311,  10305,  10306, 
/* msg =   1587, deg = 10 */    193,    521,   1020,   1184,   1477,   2259,   6046,   6569,  10306,  10307, 
/* msg =   1588, deg = 10 */    168,    532,    843,   1242,   1457,   2040,   4661,   8364,  10307,  10308, 
/* msg =   1589, deg = 10 */     59,    585,   1025,   1360,   1511,   2242,   5394,   6479,  10308,  10309, 
/* msg =   1590, deg = 10 */     78,    453,    828,   1421,   1532,   2627,   3679,   6268,  10309,  10310, 
/* msg =   1591, deg = 10 */    336,    710,    931,   1090,   1462,   2313,   4778,   6235,  10310,  10311, 
/* msg =   1592, deg = 10 */    226,    489,    924,   1193,   1673,   2991,   5313,   7674,  10311,  10312, 
/* msg =   1593, deg = 10 */    239,    565,    955,   1406,   1519,   1880,   4055,   6594,  10312,  10313, 
/* msg =   1594, deg = 10 */     18,    670,    812,   1160,   1536,   3343,   5519,   6681,  10313,  10314, 
/* msg =   1595, deg = 10 */    338,    529,    801,   1284,   1632,   3325,   3782,   8267,  10314,  10315, 
/* msg =   1596, deg = 10 */    108,    463,    889,   1166,   1568,   3052,   3862,   7288,  10316,  10317, 
/* msg =   1597, deg = 10 */    100,    441,   1027,   1422,   1548,   2625,   4281,   7664,  10317,  10318, 
/* msg =   1598, deg = 10 */    235,    709,    805,   1433,   1525,   3169,   5030,   8347,  10318,  10319, 
/* msg =   1599, deg = 10 */    218,    444,    817,   1198,   1742,   2355,   4771,   7899,  10319,  10320, 
/* msg =   1600, deg = 10 */    202,    467,    883,   1387,   1661,   2046,   5348,   8212,  10320,  10321, 
/* msg =   1601, deg = 10 */    346,    462,    873,   1239,   1525,   3076,   4488,   6927,  10321,  10322, 
/* msg =   1602, deg = 10 */     52,    715,    881,   1197,   1488,   3390,   4143,   6954,  10322,  10323, 
/* msg =   1603, deg = 10 */    345,    444,    903,   1204,   1481,   3545,   5700,   7281,  10323,  10324, 
/* msg =   1604, deg = 10 */    267,    472,    876,   1167,   1537,   1892,   5980,   6844,  10324,  10325, 
/* msg =   1605, deg = 10 */     62,    528,    905,   1360,   1476,   2808,   4514,   8120,  10325,  10326, 
/* msg =   1606, deg = 10 */     98,    448,    863,   1133,   1525,   2729,   5712,   8312,  10326,  10327, 
/* msg =   1607, deg = 10 */    194,    522,   1021,   1185,   1478,   2260,   6047,   6570,  10327,  10328, 
/* msg =   1608, deg = 10 */    169,    533,    844,   1243,   1458,   2041,   4662,   8365,  10328,  10329, 
/* msg =   1609, deg = 10 */     60,    586,   1026,   1361,   1512,   2243,   5395,   6120,  10329,  10330, 
/* msg =   1610, deg = 10 */     79,    454,    829,   1422,   1533,   2628,   3680,   6269,  10330,  10331, 
/* msg =   1611, deg = 10 */    337,    711,    932,   1091,   1463,   2314,   4779,   6236,  10331,  10332, 
/* msg =   1612, deg = 10 */    227,    490,    925,   1194,   1674,   2992,   5314,   7675,  10332,  10333, 
/* msg =   1613, deg = 10 */    240,    566,    956,   1407,   1520,   1881,   4056,   6595,  10333,  10334, 
/* msg =   1614, deg = 10 */     19,    671,    813,   1161,   1537,   3344,   5520,   6682,  10334,  10335, 
/* msg =   1615, deg = 10 */    339,    530,    802,   1285,   1633,   3326,   3783,   8268,  10335,  10336, 
/* msg =   1616, deg = 10 */    109,    464,    890,   1167,   1569,   3053,   3863,   7289,  10337,  10338, 
/* msg =   1617, deg = 10 */    101,    442,   1028,   1423,   1549,   2626,   4282,   7665,  10338,  10339, 
/* msg =   1618, deg = 10 */    236,    710,    806,   1434,   1526,   3170,   5031,   8348,  10339,  10340, 
/* msg =   1619, deg = 10 */    219,    445,    818,   1199,   1743,   2356,   4772,   7900,  10340,  10341, 
/* msg =   1620, deg = 10 */    203,    468,    884,   1388,   1662,   2047,   5349,   8213,  10341,  10342, 
/* msg =   1621, deg = 10 */    347,    463,    874,   1240,   1526,   3077,   4489,   6928,  10342,  10343, 
/* msg =   1622, deg = 10 */     53,    716,    882,   1198,   1489,   3391,   4144,   6955,  10343,  10344, 
/* msg =   1623, deg = 10 */    346,    445,    904,   1205,   1482,   3546,   5701,   7282,  10344,  10345, 
/* msg =   1624, deg = 10 */    268,    473,    877,   1168,   1538,   1893,   5981,   6845,  10345,  10346, 
/* msg =   1625, deg = 10 */     63,    529,    906,   1361,   1477,   2809,   4515,   8121,  10346,  10347, 
/* msg =   1626, deg = 10 */     99,    449,    864,   1134,   1526,   2730,   5713,   8313,  10347,  10348, 
/* msg =   1627, deg = 10 */    195,    523,   1022,   1186,   1479,   2261,   6048,   6571,  10348,  10349, 
/* msg =   1628, deg = 10 */    170,    534,    845,   1244,   1459,   2042,   4663,   8366,  10349,  10350, 
/* msg =   1629, deg = 10 */     61,    587,   1027,   1362,   1513,   2244,   5396,   6121,  10350,  10351, 
/* msg =   1630, deg = 10 */     80,    455,    830,   1423,   1534,   2629,   3681,   6270,  10351,  10352, 
/* msg =   1631, deg = 10 */    338,    712,    933,   1092,   1464,   2315,   4780,   6237,  10352,  10353, 
/* msg =   1632, deg = 10 */    228,    491,    926,   1195,   1675,   2993,   5315,   7676,  10353,  10354, 
/* msg =   1633, deg = 10 */    241,    567,    957,   1408,   1521,   1882,   4057,   6596,  10354,  10355, 
/* msg =   1634, deg = 10 */     20,    672,    814,   1162,   1538,   3345,   5521,   6683,  10355,  10356, 
/* msg =   1635, deg = 10 */    340,    531,    803,   1286,   1634,   3327,   3784,   8269,  10356,  10357, 
/* msg =   1636, deg = 10 */    110,    465,    891,   1168,   1570,   3054,   3864,   7290,  10358,  10359, 
/* msg =   1637, deg = 10 */    102,    443,   1029,   1424,   1550,   2627,   4283,   7666,  10359,  10360, 
/* msg =   1638, deg = 10 */    237,    711,    807,   1435,   1527,   3171,   5032,   8349,  10360,  10361, 
/* msg =   1639, deg = 10 */    220,    446,    819,   1200,   1744,   2357,   4773,   7901,  10361,  10362, 
/* msg =   1640, deg = 10 */    204,    469,    885,   1389,   1663,   2048,   5350,   8214,  10362,  10363, 
/* msg =   1641, deg = 10 */    348,    464,    875,   1241,   1527,   3078,   4490,   6929,  10363,  10364, 
/* msg =   1642, deg = 10 */     54,    717,    883,   1199,   1490,   3392,   4145,   6956,  10364,  10365, 
/* msg =   1643, deg = 10 */    347,    446,    905,   1206,   1483,   3547,   5702,   7283,  10365,  10366, 
/* msg =   1644, deg = 10 */    269,    474,    878,   1169,   1539,   1894,   5982,   6846,  10366,  10367, 
/* msg =   1645, deg = 10 */     64,    530,    907,   1362,   1478,   2810,   4516,   8122,  10367,  10368, 
/* msg =   1646, deg = 10 */    100,    450,    865,   1135,   1527,   2731,   5714,   8314,  10368,  10369, 
/* msg =   1647, deg = 10 */    196,    524,   1023,   1187,   1480,   2262,   6049,   6572,  10369,  10370, 
/* msg =   1648, deg = 10 */    171,    535,    846,   1245,   1460,   2043,   4664,   8367,  10370,  10371, 
/* msg =   1649, deg = 10 */     62,    588,   1028,   1363,   1514,   2245,   5397,   6122,  10371,  10372, 
/* msg =   1650, deg = 10 */     81,    456,    831,   1424,   1535,   2630,   3682,   6271,  10372,  10373, 
/* msg =   1651, deg = 10 */    339,    713,    934,   1093,   1465,   2316,   4781,   6238,  10373,  10374, 
/* msg =   1652, deg = 10 */    229,    492,    927,   1196,   1676,   2994,   5316,   7677,  10374,  10375, 
/* msg =   1653, deg = 10 */    242,    568,    958,   1409,   1522,   1883,   4058,   6597,  10375,  10376, 
/* msg =   1654, deg = 10 */     21,    673,    815,   1163,   1539,   3346,   5522,   6684,  10376,  10377, 
/* msg =   1655, deg = 10 */    341,    532,    804,   1287,   1635,   3328,   3785,   8270,  10377,  10378, 
/* msg =   1656, deg = 10 */    111,    466,    892,   1169,   1571,   3055,   3865,   7291,  10379,  10380, 
/* msg =   1657, deg = 10 */    103,    444,   1030,   1425,   1551,   2628,   4284,   7667,  10380,  10381, 
/* msg =   1658, deg = 10 */    238,    712,    808,   1436,   1528,   3172,   5033,   8350,  10381,  10382, 
/* msg =   1659, deg = 10 */    221,    447,    820,   1201,   1745,   2358,   4774,   7902,  10382,  10383, 
/* msg =   1660, deg = 10 */    205,    470,    886,   1390,   1664,   2049,   5351,   8215,  10383,  10384, 
/* msg =   1661, deg = 10 */    349,    465,    876,   1242,   1528,   3079,   4491,   6930,  10384,  10385, 
/* msg =   1662, deg = 10 */     55,    718,    884,   1200,   1491,   3393,   4146,   6957,  10385,  10386, 
/* msg =   1663, deg = 10 */    348,    447,    906,   1207,   1484,   3548,   5703,   7284,  10386,  10387, 
/* msg =   1664, deg = 10 */    270,    475,    879,   1170,   1540,   1895,   5983,   6847,  10387,  10388, 
/* msg =   1665, deg = 10 */     65,    531,    908,   1363,   1479,   2811,   4517,   8123,  10388,  10389, 
/* msg =   1666, deg = 10 */    101,    451,    866,   1136,   1528,   2732,   5715,   8315,  10389,  10390, 
/* msg =   1667, deg = 10 */    197,    525,   1024,   1188,   1481,   2263,   6050,   6573,  10390,  10391, 
/* msg =   1668, deg = 10 */    172,    536,    847,   1246,   1461,   2044,   4665,   8368,  10391,  10392, 
/* msg =   1669, deg = 10 */     63,    589,   1029,   1364,   1515,   2246,   5398,   6123,  10392,  10393, 
/* msg =   1670, deg = 10 */     82,    457,    832,   1425,   1536,   2631,   3683,   6272,  10393,  10394, 
/* msg =   1671, deg = 10 */    340,    714,    935,   1094,   1466,   2317,   4782,   6239,  10394,  10395, 
/* msg =   1672, deg = 10 */    230,    493,    928,   1197,   1677,   2995,   5317,   7678,  10395,  10396, 
/* msg =   1673, deg = 10 */    243,    569,    959,   1410,   1523,   1884,   4059,   6598,  10396,  10397, 
/* msg =   1674, deg = 10 */     22,    674,    816,   1164,   1540,   3347,   5523,   6685,  10397,  10398, 
/* msg =   1675, deg = 10 */    342,    533,    805,   1288,   1636,   3329,   3786,   8271,  10398,  10399, 
/* msg =   1676, deg = 10 */    112,    467,    893,   1170,   1572,   3056,   3866,   7292,  10400,  10401, 
/* msg =   1677, deg = 10 */    104,    445,   1031,   1426,   1552,   2629,   4285,   7668,  10401,  10402, 
/* msg =   1678, deg = 10 */    239,    713,    809,   1437,   1529,   3173,   5034,   8351,  10402,  10403, 
/* msg =   1679, deg = 10 */    222,    448,    821,   1202,   1746,   2359,   4775,   7903,  10403,  10404, 
/* msg =   1680, deg = 10 */    206,    471,    887,   1391,   1665,   2050,   5352,   8216,  10404,  10405, 
/* msg =   1681, deg = 10 */    350,    466,    877,   1243,   1529,   3080,   4492,   6931,  10405,  10406, 
/* msg =   1682, deg = 10 */     56,    719,    885,   1201,   1492,   3394,   4147,   6958,  10406,  10407, 
/* msg =   1683, deg = 10 */    349,    448,    907,   1208,   1485,   3549,   5704,   7285,  10407,  10408, 
/* msg =   1684, deg = 10 */    271,    476,    880,   1171,   1541,   1896,   5984,   6848,  10408,  10409, 
/* msg =   1685, deg = 10 */     66,    532,    909,   1364,   1480,   2812,   4518,   8124,  10409,  10410, 
/* msg =   1686, deg = 10 */    102,    452,    867,   1137,   1529,   2733,   5716,   8316,  10410,  10411, 
/* msg =   1687, deg = 10 */    198,    526,   1025,   1189,   1482,   2264,   6051,   6574,  10411,  10412, 
/* msg =   1688, deg = 10 */    173,    537,    848,   1247,   1462,   2045,   4666,   8369,  10412,  10413, 
/* msg =   1689, deg = 10 */     64,    590,   1030,   1365,   1516,   2247,   5399,   6124,  10413,  10414, 
/* msg =   1690, deg = 10 */     83,    458,    833,   1426,   1537,   2632,   3684,   6273,  10414,  10415, 
/* msg =   1691, deg = 10 */    341,    715,    936,   1095,   1467,   2318,   4783,   6240,  10415,  10416, 
/* msg =   1692, deg = 10 */    231,    494,    929,   1198,   1678,   2996,   5318,   7679,  10416,  10417, 
/* msg =   1693, deg = 10 */    244,    570,    960,   1411,   1524,   1885,   4060,   6599,  10417,  10418, 
/* msg =   1694, deg = 10 */     23,    675,    817,   1165,   1541,   3348,   5524,   6686,  10418,  10419, 
/* msg =   1695, deg = 10 */    343,    534,    806,   1289,   1637,   3330,   3787,   8272,  10419,  10420, 
/* msg =   1696, deg = 10 */    113,    468,    894,   1171,   1573,   3057,   3867,   7293,  10421,  10422, 
/* msg =   1697, deg = 10 */    105,    446,   1032,   1427,   1553,   2630,   4286,   7669,  10422,  10423, 
/* msg =   1698, deg = 10 */    240,    714,    810,   1438,   1530,   3174,   5035,   8352,  10423,  10424, 
/* msg =   1699, deg = 10 */    223,    449,    822,   1203,   1747,   2360,   4776,   7904,  10424,  10425, 
/* msg =   1700, deg = 10 */    207,    472,    888,   1392,   1666,   2051,   5353,   8217,  10425,  10426, 
/* msg =   1701, deg = 10 */    351,    467,    878,   1244,   1530,   3081,   4493,   6932,  10426,  10427, 
/* msg =   1702, deg = 10 */     57,    360,    886,   1202,   1493,   3395,   4148,   6959,  10427,  10428, 
/* msg =   1703, deg = 10 */    350,    449,    908,   1209,   1486,   3550,   5705,   7286,  10428,  10429, 
/* msg =   1704, deg = 10 */    272,    477,    881,   1172,   1542,   1897,   5985,   6849,  10429,  10430, 
/* msg =   1705, deg = 10 */     67,    533,    910,   1365,   1481,   2813,   4519,   8125,  10430,  10431, 
/* msg =   1706, deg = 10 */    103,    453,    868,   1138,   1530,   2734,   5717,   8317,  10431,  10432, 
/* msg =   1707, deg = 10 */    199,    527,   1026,   1190,   1483,   2265,   6052,   6575,  10432,  10433, 
/* msg =   1708, deg = 10 */    174,    538,    849,   1248,   1463,   2046,   4667,   8370,  10433,  10434, 
/* msg =   1709, deg = 10 */     65,    591,   1031,   1366,   1517,   2248,   5040,   6125,  10434,  10435, 
/* msg =   1710, deg = 10 */     84,    459,    834,   1427,   1538,   2633,   3685,   6274,  10435,  10436, 
/* msg =   1711, deg = 10 */    342,    716,    937,   1096,   1468,   2319,   4784,   6241,  10436,  10437, 
/* msg =   1712, deg = 10 */    232,    495,    930,   1199,   1679,   2997,   5319,   7680,  10437,  10438, 
/* msg =   1713, deg = 10 */    245,    571,    961,   1412,   1525,   1886,   4061,   6600,  10438,  10439, 
/* msg =   1714, deg = 10 */     24,    676,    818,   1166,   1542,   3349,   5525,   6687,  10439,  10440, 
/* msg =   1715, deg = 10 */    344,    535,    807,   1290,   1638,   3331,   3788,   8273,  10440,  10441, 
/* msg =   1716, deg = 10 */    114,    469,    895,   1172,   1574,   3058,   3868,   7294,  10442,  10443, 
/* msg =   1717, deg = 10 */    106,    447,   1033,   1428,   1554,   2631,   4287,   7670,  10443,  10444, 
/* msg =   1718, deg = 10 */    241,    715,    811,   1439,   1531,   3175,   5036,   8353,  10444,  10445, 
/* msg =   1719, deg = 10 */    224,    450,    823,   1204,   1748,   2361,   4777,   7905,  10445,  10446, 
/* msg =   1720, deg = 10 */    208,    473,    889,   1393,   1667,   2052,   5354,   8218,  10446,  10447, 
/* msg =   1721, deg = 10 */    352,    468,    879,   1245,   1531,   3082,   4494,   6933,  10447,  10448, 
/* msg =   1722, deg = 10 */     58,    361,    887,   1203,   1494,   3396,   4149,   6960,  10448,  10449, 
/* msg =   1723, deg = 10 */    351,    450,    909,   1210,   1487,   3551,   5706,   7287,  10449,  10450, 
/* msg =   1724, deg = 10 */    273,    478,    882,   1173,   1543,   1898,   5986,   6850,  10450,  10451, 
/* msg =   1725, deg = 10 */     68,    534,    911,   1366,   1482,   2814,   4520,   8126,  10451,  10452, 
/* msg =   1726, deg = 10 */    104,    454,    869,   1139,   1531,   2735,   5718,   8318,  10452,  10453, 
/* msg =   1727, deg = 10 */    200,    528,   1027,   1191,   1484,   2266,   6053,   6576,  10453,  10454, 
/* msg =   1728, deg = 10 */    175,    539,    850,   1249,   1464,   2047,   4668,   8371,  10454,  10455, 
/* msg =   1729, deg = 10 */     66,    592,   1032,   1367,   1518,   2249,   5041,   6126,  10455,  10456, 
/* msg =   1730, deg = 10 */     85,    460,    835,   1428,   1539,   2634,   3686,   6275,  10456,  10457, 
/* msg =   1731, deg = 10 */    343,    717,    938,   1097,   1469,   2320,   4785,   6242,  10457,  10458, 
/* msg =   1732, deg = 10 */    233,    496,    931,   1200,   1680,   2998,   5320,   7681,  10458,  10459, 
/* msg =   1733, deg = 10 */    246,    572,    962,   1413,   1526,   1887,   4062,   6601,  10459,  10460, 
/* msg =   1734, deg = 10 */     25,    677,    819,   1167,   1543,   3350,   5526,   6688,  10460,  10461, 
/* msg =   1735, deg = 10 */    345,    536,    808,   1291,   1639,   3332,   3789,   8274,  10461,  10462, 
/* msg =   1736, deg = 10 */    115,    470,    896,   1173,   1575,   3059,   3869,   7295,  10463,  10464, 
/* msg =   1737, deg = 10 */    107,    448,   1034,   1429,   1555,   2632,   4288,   7671,  10464,  10465, 
/* msg =   1738, deg = 10 */    242,    716,    812,   1080,   1532,   3176,   5037,   8354,  10465,  10466, 
/* msg =   1739, deg = 10 */    225,    451,    824,   1205,   1749,   2362,   4778,   7906,  10466,  10467, 
/* msg =   1740, deg = 10 */    209,    474,    890,   1394,   1668,   2053,   5355,   8219,  10467,  10468, 
/* msg =   1741, deg = 10 */    353,    469,    880,   1246,   1532,   3083,   4495,   6934,  10468,  10469, 
/* msg =   1742, deg = 10 */     59,    362,    888,   1204,   1495,   3397,   4150,   6961,  10469,  10470, 
/* msg =   1743, deg = 10 */    352,    451,    910,   1211,   1488,   3552,   5707,   7288,  10470,  10471, 
/* msg =   1744, deg = 10 */    274,    479,    883,   1174,   1544,   1899,   5987,   6851,  10471,  10472, 
/* msg =   1745, deg = 10 */     69,    535,    912,   1367,   1483,   2815,   4521,   8127,  10472,  10473, 
/* msg =   1746, deg = 10 */    105,    455,    870,   1140,   1532,   2736,   5719,   8319,  10473,  10474, 
/* msg =   1747, deg = 10 */    201,    529,   1028,   1192,   1485,   2267,   6054,   6577,  10474,  10475, 
/* msg =   1748, deg = 10 */    176,    540,    851,   1250,   1465,   2048,   4669,   8372,  10475,  10476, 
/* msg =   1749, deg = 10 */     67,    593,   1033,   1368,   1519,   2250,   5042,   6127,  10476,  10477, 
/* msg =   1750, deg = 10 */     86,    461,    836,   1429,   1540,   2635,   3687,   6276,  10477,  10478, 
/* msg =   1751, deg = 10 */    344,    718,    939,   1098,   1470,   2321,   4786,   6243,  10478,  10479, 
/* msg =   1752, deg = 10 */    234,    497,    932,   1201,   1681,   2999,   5321,   7682,  10479,  10480, 
/* msg =   1753, deg = 10 */    247,    573,    963,   1414,   1527,   1888,   4063,   6602,  10480,  10481, 
/* msg =   1754, deg = 10 */     26,    678,    820,   1168,   1544,   3351,   5527,   6689,  10481,  10482, 
/* msg =   1755, deg = 10 */    346,    537,    809,   1292,   1640,   3333,   3790,   8275,  10482,  10483, 
/* msg =   1756, deg = 10 */    116,    471,    897,   1174,   1576,   3060,   3870,   7296,  10484,  10485, 
/* msg =   1757, deg = 10 */    108,    449,   1035,   1430,   1556,   2633,   4289,   7672,  10485,  10486, 
/* msg =   1758, deg = 10 */    243,    717,    813,   1081,   1533,   3177,   5038,   8355,  10486,  10487, 
/* msg =   1759, deg = 10 */    226,    452,    825,   1206,   1750,   2363,   4779,   7907,  10487,  10488, 
/* msg =   1760, deg = 10 */    210,    475,    891,   1395,   1669,   2054,   5356,   8220,  10488,  10489, 
/* msg =   1761, deg = 10 */    354,    470,    881,   1247,   1533,   3084,   4496,   6935,  10489,  10490, 
/* msg =   1762, deg = 10 */     60,    363,    889,   1205,   1496,   3398,   4151,   6962,  10490,  10491, 
/* msg =   1763, deg = 10 */    353,    452,    911,   1212,   1489,   3553,   5708,   7289,  10491,  10492, 
/* msg =   1764, deg = 10 */    275,    480,    884,   1175,   1545,   1900,   5988,   6852,  10492,  10493, 
/* msg =   1765, deg = 10 */     70,    536,    913,   1368,   1484,   2816,   4522,   8128,  10493,  10494, 
/* msg =   1766, deg = 10 */    106,    456,    871,   1141,   1533,   2737,   5720,   8320,  10494,  10495, 
/* msg =   1767, deg = 10 */    202,    530,   1029,   1193,   1486,   2268,   6055,   6578,  10495,  10496, 
/* msg =   1768, deg = 10 */    177,    541,    852,   1251,   1466,   2049,   4670,   8373,  10496,  10497, 
/* msg =   1769, deg = 10 */     68,    594,   1034,   1369,   1520,   2251,   5043,   6128,  10497,  10498, 
/* msg =   1770, deg = 10 */     87,    462,    837,   1430,   1541,   2636,   3688,   6277,  10498,  10499, 
/* msg =   1771, deg = 10 */    345,    719,    940,   1099,   1471,   2322,   4787,   6244,  10499,  10500, 
/* msg =   1772, deg = 10 */    235,    498,    933,   1202,   1682,   3000,   5322,   7683,  10500,  10501, 
/* msg =   1773, deg = 10 */    248,    574,    964,   1415,   1528,   1889,   4064,   6603,  10501,  10502, 
/* msg =   1774, deg = 10 */     27,    679,    821,   1169,   1545,   3352,   5528,   6690,  10502,  10503, 
/* msg =   1775, deg = 10 */    347,    538,    810,   1293,   1641,   3334,   3791,   8276,  10503,  10504, 
/* msg =   1776, deg = 10 */    117,    472,    898,   1175,   1577,   3061,   3871,   7297,  10505,  10506, 
/* msg =   1777, deg = 10 */    109,    450,   1036,   1431,   1557,   2634,   4290,   7673,  10506,  10507, 
/* msg =   1778, deg = 10 */    244,    718,    814,   1082,   1534,   3178,   5039,   8356,  10507,  10508, 
/* msg =   1779, deg = 10 */    227,    453,    826,   1207,   1751,   2364,   4780,   7908,  10508,  10509, 
/* msg =   1780, deg = 10 */    211,    476,    892,   1396,   1670,   2055,   5357,   8221,  10509,  10510, 
/* msg =   1781, deg = 10 */    355,    471,    882,   1248,   1534,   3085,   4497,   6936,  10510,  10511, 
/* msg =   1782, deg = 10 */     61,    364,    890,   1206,   1497,   3399,   4152,   6963,  10511,  10512, 
/* msg =   1783, deg = 10 */    354,    453,    912,   1213,   1490,   3554,   5709,   7290,  10512,  10513, 
/* msg =   1784, deg = 10 */    276,    481,    885,   1176,   1546,   1901,   5989,   6853,  10513,  10514, 
/* msg =   1785, deg = 10 */     71,    537,    914,   1369,   1485,   2817,   4523,   8129,  10514,  10515, 
/* msg =   1786, deg = 10 */    107,    457,    872,   1142,   1534,   2738,   5721,   8321,  10515,  10516, 
/* msg =   1787, deg = 10 */    203,    531,   1030,   1194,   1487,   2269,   6056,   6579,  10516,  10517, 
/* msg =   1788, deg = 10 */    178,    542,    853,   1252,   1467,   2050,   4671,   8374,  10517,  10518, 
/* msg =   1789, deg = 10 */     69,    595,   1035,   1370,   1521,   2252,   5044,   6129,  10518,  10519, 
/* msg =   1790, deg = 10 */     88,    463,    838,   1431,   1542,   2637,   3689,   6278,  10519,  10520, 
/* msg =   1791, deg = 10 */    346,    360,    941,   1100,   1472,   2323,   4788,   6245,  10520,  10521, 
/* msg =   1792, deg = 10 */    236,    499,    934,   1203,   1683,   3001,   5323,   7684,  10521,  10522, 
/* msg =   1793, deg = 10 */    249,    575,    965,   1416,   1529,   1890,   4065,   6604,  10522,  10523, 
/* msg =   1794, deg = 10 */     28,    680,    822,   1170,   1546,   3353,   5529,   6691,  10523,  10524, 
/* msg =   1795, deg = 10 */    348,    539,    811,   1294,   1642,   3335,   3792,   8277,  10524,  10525, 
/* msg =   1796, deg = 10 */    118,    473,    899,   1176,   1578,   3062,   3872,   7298,  10526,  10527, 
/* msg =   1797, deg = 10 */    110,    451,   1037,   1432,   1558,   2635,   4291,   7674,  10527,  10528, 
/* msg =   1798, deg = 10 */    245,    719,    815,   1083,   1535,   3179,   4680,   8357,  10528,  10529, 
/* msg =   1799, deg = 10 */    228,    454,    827,   1208,   1752,   2365,   4781,   7909,  10529,  10530, 
/* msg =   1800, deg = 10 */    212,    477,    893,   1397,   1671,   2056,   5358,   8222,  10530,  10531, 
/* msg =   1801, deg = 10 */    356,    472,    883,   1249,   1535,   3086,   4498,   6937,  10531,  10532, 
/* msg =   1802, deg = 10 */     62,    365,    891,   1207,   1498,   3400,   4153,   6964,  10532,  10533, 
/* msg =   1803, deg = 10 */    355,    454,    913,   1214,   1491,   3555,   5710,   7291,  10533,  10534, 
/* msg =   1804, deg = 10 */    277,    482,    886,   1177,   1547,   1902,   5990,   6854,  10534,  10535, 
/* msg =   1805, deg = 10 */     72,    538,    915,   1370,   1486,   2818,   4524,   8130,  10535,  10536, 
/* msg =   1806, deg = 10 */    108,    458,    873,   1143,   1535,   2739,   5722,   8322,  10536,  10537, 
/* msg =   1807, deg = 10 */    204,    532,   1031,   1195,   1488,   2270,   6057,   6580,  10537,  10538, 
/* msg =   1808, deg = 10 */    179,    543,    854,   1253,   1468,   2051,   4672,   8375,  10538,  10539, 
/* msg =   1809, deg = 10 */     70,    596,   1036,   1371,   1522,   2253,   5045,   6130,  10539,  10540, 
/* msg =   1810, deg = 10 */     89,    464,    839,   1432,   1543,   2638,   3690,   6279,  10540,  10541, 
/* msg =   1811, deg = 10 */    347,    361,    942,   1101,   1473,   2324,   4789,   6246,  10541,  10542, 
/* msg =   1812, deg = 10 */    237,    500,    935,   1204,   1684,   3002,   5324,   7685,  10542,  10543, 
/* msg =   1813, deg = 10 */    250,    576,    966,   1417,   1530,   1891,   4066,   6605,  10543,  10544, 
/* msg =   1814, deg = 10 */     29,    681,    823,   1171,   1547,   3354,   5530,   6692,  10544,  10545, 
/* msg =   1815, deg = 10 */    349,    540,    812,   1295,   1643,   3336,   3793,   8278,  10545,  10546, 
/* msg =   1816, deg = 10 */    119,    474,    900,   1177,   1579,   3063,   3873,   7299,  10547,  10548, 
/* msg =   1817, deg = 10 */    111,    452,   1038,   1433,   1559,   2636,   4292,   7675,  10548,  10549, 
/* msg =   1818, deg = 10 */    246,    360,    816,   1084,   1536,   3180,   4681,   8358,  10549,  10550, 
/* msg =   1819, deg = 10 */    229,    455,    828,   1209,   1753,   2366,   4782,   7910,  10550,  10551, 
/* msg =   1820, deg = 10 */    213,    478,    894,   1398,   1672,   2057,   5359,   8223,  10551,  10552, 
/* msg =   1821, deg = 10 */    357,    473,    884,   1250,   1536,   3087,   4499,   6938,  10552,  10553, 
/* msg =   1822, deg = 10 */     63,    366,    892,   1208,   1499,   3401,   4154,   6965,  10553,  10554, 
/* msg =   1823, deg = 10 */    356,    455,    914,   1215,   1492,   3556,   5711,   7292,  10554,  10555, 
/* msg =   1824, deg = 10 */    278,    483,    887,   1178,   1548,   1903,   5991,   6855,  10555,  10556, 
/* msg =   1825, deg = 10 */     73,    539,    916,   1371,   1487,   2819,   4525,   8131,  10556,  10557, 
/* msg =   1826, deg = 10 */    109,    459,    874,   1144,   1536,   2740,   5723,   8323,  10557,  10558, 
/* msg =   1827, deg = 10 */    205,    533,   1032,   1196,   1489,   2271,   6058,   6581,  10558,  10559, 
/* msg =   1828, deg = 10 */    180,    544,    855,   1254,   1469,   2052,   4673,   8376,  10559,  10560, 
/* msg =   1829, deg = 10 */     71,    597,   1037,   1372,   1523,   2254,   5046,   6131,  10560,  10561, 
/* msg =   1830, deg = 10 */     90,    465,    840,   1433,   1544,   2639,   3691,   6280,  10561,  10562, 
/* msg =   1831, deg = 10 */    348,    362,    943,   1102,   1474,   2325,   4790,   6247,  10562,  10563, 
/* msg =   1832, deg = 10 */    238,    501,    936,   1205,   1685,   3003,   5325,   7686,  10563,  10564, 
/* msg =   1833, deg = 10 */    251,    577,    967,   1418,   1531,   1892,   4067,   6606,  10564,  10565, 
/* msg =   1834, deg = 10 */     30,    682,    824,   1172,   1548,   3355,   5531,   6693,  10565,  10566, 
/* msg =   1835, deg = 10 */    350,    541,    813,   1296,   1644,   3337,   3794,   8279,  10566,  10567, 
/* msg =   1836, deg = 10 */    120,    475,    901,   1178,   1580,   3064,   3874,   7300,  10568,  10569, 
/* msg =   1837, deg = 10 */    112,    453,   1039,   1434,   1560,   2637,   4293,   7676,  10569,  10570, 
/* msg =   1838, deg = 10 */    247,    361,    817,   1085,   1537,   3181,   4682,   8359,  10570,  10571, 
/* msg =   1839, deg = 10 */    230,    456,    829,   1210,   1754,   2367,   4783,   7911,  10571,  10572, 
/* msg =   1840, deg = 10 */    214,    479,    895,   1399,   1673,   2058,   5360,   8224,  10572,  10573, 
/* msg =   1841, deg = 10 */    358,    474,    885,   1251,   1537,   3088,   4500,   6939,  10573,  10574, 
/* msg =   1842, deg = 10 */     64,    367,    893,   1209,   1500,   3402,   4155,   6966,  10574,  10575, 
/* msg =   1843, deg = 10 */    357,    456,    915,   1216,   1493,   3557,   5712,   7293,  10575,  10576, 
/* msg =   1844, deg = 10 */    279,    484,    888,   1179,   1549,   1904,   5992,   6856,  10576,  10577, 
/* msg =   1845, deg = 10 */     74,    540,    917,   1372,   1488,   2820,   4526,   8132,  10577,  10578, 
/* msg =   1846, deg = 10 */    110,    460,    875,   1145,   1537,   2741,   5724,   8324,  10578,  10579, 
/* msg =   1847, deg = 10 */    206,    534,   1033,   1197,   1490,   2272,   6059,   6582,  10579,  10580, 
/* msg =   1848, deg = 10 */    181,    545,    856,   1255,   1470,   2053,   4674,   8377,  10580,  10581, 
/* msg =   1849, deg = 10 */     72,    598,   1038,   1373,   1524,   2255,   5047,   6132,  10581,  10582, 
/* msg =   1850, deg = 10 */     91,    466,    841,   1434,   1545,   2640,   3692,   6281,  10582,  10583, 
/* msg =   1851, deg = 10 */    349,    363,    944,   1103,   1475,   2326,   4791,   6248,  10583,  10584, 
/* msg =   1852, deg = 10 */    239,    502,    937,   1206,   1686,   3004,   5326,   7687,  10584,  10585, 
/* msg =   1853, deg = 10 */    252,    578,    968,   1419,   1532,   1893,   4068,   6607,  10585,  10586, 
/* msg =   1854, deg = 10 */     31,    683,    825,   1173,   1549,   3356,   5532,   6694,  10586,  10587, 
/* msg =   1855, deg = 10 */    351,    542,    814,   1297,   1645,   3338,   3795,   7920,  10587,  10588, 
/* msg =   1856, deg = 10 */    121,    476,    902,   1179,   1581,   3065,   3875,   7301,  10589,  10590, 
/* msg =   1857, deg = 10 */    113,    454,   1040,   1435,   1561,   2638,   4294,   7677,  10590,  10591, 
/* msg =   1858, deg = 10 */    248,    362,    818,   1086,   1538,   3182,   4683,   8360,  10591,  10592, 
/* msg =   1859, deg = 10 */    231,    457,    830,   1211,   1755,   2368,   4784,   7912,  10592,  10593, 
/* msg =   1860, deg = 10 */    215,    480,    896,   1400,   1674,   2059,   5361,   8225,  10593,  10594, 
/* msg =   1861, deg = 10 */    359,    475,    886,   1252,   1538,   3089,   4501,   6940,  10594,  10595, 
/* msg =   1862, deg = 10 */     65,    368,    894,   1210,   1501,   3403,   4156,   6967,  10595,  10596, 
/* msg =   1863, deg = 10 */    358,    457,    916,   1217,   1494,   3558,   5713,   7294,  10596,  10597, 
/* msg =   1864, deg = 10 */    280,    485,    889,   1180,   1550,   1905,   5993,   6857,  10597,  10598, 
/* msg =   1865, deg = 10 */     75,    541,    918,   1373,   1489,   2821,   4527,   8133,  10598,  10599, 
/* msg =   1866, deg = 10 */    111,    461,    876,   1146,   1538,   2742,   5725,   8325,  10599,  10600, 
/* msg =   1867, deg = 10 */    207,    535,   1034,   1198,   1491,   2273,   6060,   6583,  10600,  10601, 
/* msg =   1868, deg = 10 */    182,    546,    857,   1256,   1471,   2054,   4675,   8378,  10601,  10602, 
/* msg =   1869, deg = 10 */     73,    599,   1039,   1374,   1525,   2256,   5048,   6133,  10602,  10603, 
/* msg =   1870, deg = 10 */     92,    467,    842,   1435,   1546,   2641,   3693,   6282,  10603,  10604, 
/* msg =   1871, deg = 10 */    350,    364,    945,   1104,   1476,   2327,   4792,   6249,  10604,  10605, 
/* msg =   1872, deg = 10 */    240,    503,    938,   1207,   1687,   3005,   5327,   7688,  10605,  10606, 
/* msg =   1873, deg = 10 */    253,    579,    969,   1420,   1533,   1894,   4069,   6608,  10606,  10607, 
/* msg =   1874, deg = 10 */     32,    684,    826,   1174,   1550,   3357,   5533,   6695,  10607,  10608, 
/* msg =   1875, deg = 10 */    352,    543,    815,   1298,   1646,   3339,   3796,   7921,  10608,  10609, 
/* msg =   1876, deg = 10 */    122,    477,    903,   1180,   1582,   3066,   3876,   7302,  10610,  10611, 
/* msg =   1877, deg = 10 */    114,    455,   1041,   1436,   1562,   2639,   4295,   7678,  10611,  10612, 
/* msg =   1878, deg = 10 */    249,    363,    819,   1087,   1539,   3183,   4684,   8361,  10612,  10613, 
/* msg =   1879, deg = 10 */    232,    458,    831,   1212,   1756,   2369,   4785,   7913,  10613,  10614, 
/* msg =   1880, deg = 10 */    216,    481,    897,   1401,   1675,   2060,   5362,   8226,  10614,  10615, 
/* msg =   1881, deg = 10 */      0,    476,    887,   1253,   1539,   3090,   4502,   6941,  10615,  10616, 
/* msg =   1882, deg = 10 */     66,    369,    895,   1211,   1502,   3404,   4157,   6968,  10616,  10617, 
/* msg =   1883, deg = 10 */    359,    458,    917,   1218,   1495,   3559,   5714,   7295,  10617,  10618, 
/* msg =   1884, deg = 10 */    281,    486,    890,   1181,   1551,   1906,   5994,   6858,  10618,  10619, 
/* msg =   1885, deg = 10 */     76,    542,    919,   1374,   1490,   2822,   4528,   8134,  10619,  10620, 
/* msg =   1886, deg = 10 */    112,    462,    877,   1147,   1539,   2743,   5726,   8326,  10620,  10621, 
/* msg =   1887, deg = 10 */    208,    536,   1035,   1199,   1492,   2274,   6061,   6584,  10621,  10622, 
/* msg =   1888, deg = 10 */    183,    547,    858,   1257,   1472,   2055,   4676,   8379,  10622,  10623, 
/* msg =   1889, deg = 10 */     74,    600,   1040,   1375,   1526,   2257,   5049,   6134,  10623,  10624, 
/* msg =   1890, deg = 10 */     93,    468,    843,   1436,   1547,   2642,   3694,   6283,  10624,  10625, 
/* msg =   1891, deg = 10 */    351,    365,    946,   1105,   1477,   2328,   4793,   6250,  10625,  10626, 
/* msg =   1892, deg = 10 */    241,    504,    939,   1208,   1688,   3006,   5328,   7689,  10626,  10627, 
/* msg =   1893, deg = 10 */    254,    580,    970,   1421,   1534,   1895,   4070,   6609,  10627,  10628, 
/* msg =   1894, deg = 10 */     33,    685,    827,   1175,   1551,   3358,   5534,   6696,  10628,  10629, 
/* msg =   1895, deg = 10 */    353,    544,    816,   1299,   1647,   3340,   3797,   7922,  10629,  10630, 
/* msg =   1896, deg = 10 */    123,    478,    904,   1181,   1583,   3067,   3877,   7303,  10631,  10632, 
/* msg =   1897, deg = 10 */    115,    456,   1042,   1437,   1563,   2640,   4296,   7679,  10632,  10633, 
/* msg =   1898, deg = 10 */    250,    364,    820,   1088,   1540,   3184,   4685,   8362,  10633,  10634, 
/* msg =   1899, deg = 10 */    233,    459,    832,   1213,   1757,   2370,   4786,   7914,  10634,  10635, 
/* msg =   1900, deg = 10 */    217,    482,    898,   1402,   1676,   2061,   5363,   8227,  10635,  10636, 
/* msg =   1901, deg = 10 */      1,    477,    888,   1254,   1540,   3091,   4503,   6942,  10636,  10637, 
/* msg =   1902, deg = 10 */     67,    370,    896,   1212,   1503,   3405,   4158,   6969,  10637,  10638, 
/* msg =   1903, deg = 10 */      0,    459,    918,   1219,   1496,   3560,   5715,   7296,  10638,  10639, 
/* msg =   1904, deg = 10 */    282,    487,    891,   1182,   1552,   1907,   5995,   6859,  10639,  10640, 
/* msg =   1905, deg = 10 */     77,    543,    920,   1375,   1491,   2823,   4529,   8135,  10640,  10641, 
/* msg =   1906, deg = 10 */    113,    463,    878,   1148,   1540,   2744,   5727,   8327,  10641,  10642, 
/* msg =   1907, deg = 10 */    209,    537,   1036,   1200,   1493,   2275,   6062,   6585,  10642,  10643, 
/* msg =   1908, deg = 10 */    184,    548,    859,   1258,   1473,   2056,   4677,   8380,  10643,  10644, 
/* msg =   1909, deg = 10 */     75,    601,   1041,   1376,   1527,   2258,   5050,   6135,  10644,  10645, 
/* msg =   1910, deg = 10 */     94,    469,    844,   1437,   1548,   2643,   3695,   6284,  10645,  10646, 
/* msg =   1911, deg = 10 */    352,    366,    947,   1106,   1478,   2329,   4794,   6251,  10646,  10647, 
/* msg =   1912, deg = 10 */    242,    505,    940,   1209,   1689,   3007,   5329,   7690,  10647,  10648, 
/* msg =   1913, deg = 10 */    255,    581,    971,   1422,   1535,   1896,   4071,   6610,  10648,  10649, 
/* msg =   1914, deg = 10 */     34,    686,    828,   1176,   1552,   3359,   5535,   6697,  10649,  10650, 
/* msg =   1915, deg = 10 */    354,    545,    817,   1300,   1648,   3341,   3798,   7923,  10650,  10651, 
/* msg =   1916, deg = 10 */    124,    479,    905,   1182,   1584,   3068,   3878,   7304,  10652,  10653, 
/* msg =   1917, deg = 10 */    116,    457,   1043,   1438,   1564,   2641,   4297,   7680,  10653,  10654, 
/* msg =   1918, deg = 10 */    251,    365,    821,   1089,   1541,   3185,   4686,   8363,  10654,  10655, 
/* msg =   1919, deg = 10 */    234,    460,    833,   1214,   1758,   2371,   4787,   7915,  10655,  10656, 
/* msg =   1920, deg = 10 */    218,    483,    899,   1403,   1677,   2062,   5364,   8228,  10656,  10657, 
/* msg =   1921, deg = 10 */      2,    478,    889,   1255,   1541,   3092,   4504,   6943,  10657,  10658, 
/* msg =   1922, deg = 10 */     68,    371,    897,   1213,   1504,   3406,   4159,   6970,  10658,  10659, 
/* msg =   1923, deg = 10 */      1,    460,    919,   1220,   1497,   3561,   5716,   7297,  10659,  10660, 
/* msg =   1924, deg = 10 */    283,    488,    892,   1183,   1553,   1908,   5996,   6860,  10660,  10661, 
/* msg =   1925, deg = 10 */     78,    544,    921,   1376,   1492,   2824,   4530,   8136,  10661,  10662, 
/* msg =   1926, deg = 10 */    114,    464,    879,   1149,   1541,   2745,   5728,   8328,  10662,  10663, 
/* msg =   1927, deg = 10 */    210,    538,   1037,   1201,   1494,   2276,   6063,   6586,  10663,  10664, 
/* msg =   1928, deg = 10 */    185,    549,    860,   1259,   1474,   2057,   4678,   8381,  10664,  10665, 
/* msg =   1929, deg = 10 */     76,    602,   1042,   1377,   1528,   2259,   5051,   6136,  10665,  10666, 
/* msg =   1930, deg = 10 */     95,    470,    845,   1438,   1549,   2644,   3696,   6285,  10666,  10667, 
/* msg =   1931, deg = 10 */    353,    367,    948,   1107,   1479,   2330,   4795,   6252,  10667,  10668, 
/* msg =   1932, deg = 10 */    243,    506,    941,   1210,   1690,   3008,   5330,   7691,  10668,  10669, 
/* msg =   1933, deg = 10 */    256,    582,    972,   1423,   1536,   1897,   4072,   6611,  10669,  10670, 
/* msg =   1934, deg = 10 */     35,    687,    829,   1177,   1553,   3360,   5536,   6698,  10670,  10671, 
/* msg =   1935, deg = 10 */    355,    546,    818,   1301,   1649,   3342,   3799,   7924,  10671,  10672, 
/* msg =   1936, deg = 10 */    125,    480,    906,   1183,   1585,   3069,   3879,   7305,  10673,  10674, 
/* msg =   1937, deg = 10 */    117,    458,   1044,   1439,   1565,   2642,   4298,   7681,  10674,  10675, 
/* msg =   1938, deg = 10 */    252,    366,    822,   1090,   1542,   3186,   4687,   8364,  10675,  10676, 
/* msg =   1939, deg = 10 */    235,    461,    834,   1215,   1759,   2372,   4788,   7916,  10676,  10677, 
/* msg =   1940, deg = 10 */    219,    484,    900,   1404,   1678,   2063,   5365,   8229,  10677,  10678, 
/* msg =   1941, deg = 10 */      3,    479,    890,   1256,   1542,   3093,   4505,   6944,  10678,  10679, 
/* msg =   1942, deg = 10 */     69,    372,    898,   1214,   1505,   3407,   4160,   6971,  10679,  10680, 
/* msg =   1943, deg = 10 */      2,    461,    920,   1221,   1498,   3562,   5717,   7298,  10680,  10681, 
/* msg =   1944, deg = 10 */    284,    489,    893,   1184,   1554,   1909,   5997,   6861,  10681,  10682, 
/* msg =   1945, deg = 10 */     79,    545,    922,   1377,   1493,   2825,   4531,   8137,  10682,  10683, 
/* msg =   1946, deg = 10 */    115,    465,    880,   1150,   1542,   2746,   5729,   8329,  10683,  10684, 
/* msg =   1947, deg = 10 */    211,    539,   1038,   1202,   1495,   2277,   6064,   6587,  10684,  10685, 
/* msg =   1948, deg = 10 */    186,    550,    861,   1260,   1475,   2058,   4679,   8382,  10685,  10686, 
/* msg =   1949, deg = 10 */     77,    603,   1043,   1378,   1529,   2260,   5052,   6137,  10686,  10687, 
/* msg =   1950, deg = 10 */     96,    471,    846,   1439,   1550,   2645,   3697,   6286,  10687,  10688, 
/* msg =   1951, deg = 10 */    354,    368,    949,   1108,   1480,   2331,   4796,   6253,  10688,  10689, 
/* msg =   1952, deg = 10 */    244,    507,    942,   1211,   1691,   3009,   5331,   7692,  10689,  10690, 
/* msg =   1953, deg = 10 */    257,    583,    973,   1424,   1537,   1898,   4073,   6612,  10690,  10691, 
/* msg =   1954, deg = 10 */     36,    688,    830,   1178,   1554,   3361,   5537,   6699,  10691,  10692, 
/* msg =   1955, deg = 10 */    356,    547,    819,   1302,   1650,   3343,   3800,   7925,  10692,  10693, 
/* msg =   1956, deg = 10 */    126,    481,    907,   1184,   1586,   3070,   3880,   7306,  10694,  10695, 
/* msg =   1957, deg = 10 */    118,    459,   1045,   1080,   1566,   2643,   4299,   7682,  10695,  10696, 
/* msg =   1958, deg = 10 */    253,    367,    823,   1091,   1543,   3187,   4688,   8365,  10696,  10697, 
/* msg =   1959, deg = 10 */    236,    462,    835,   1216,   1760,   2373,   4789,   7917,  10697,  10698, 
/* msg =   1960, deg = 10 */    220,    485,    901,   1405,   1679,   2064,   5366,   8230,  10698,  10699, 
/* msg =   1961, deg = 10 */      4,    480,    891,   1257,   1543,   3094,   4506,   6945,  10699,  10700, 
/* msg =   1962, deg = 10 */     70,    373,    899,   1215,   1506,   3408,   4161,   6972,  10700,  10701, 
/* msg =   1963, deg = 10 */      3,    462,    921,   1222,   1499,   3563,   5718,   7299,  10701,  10702, 
/* msg =   1964, deg = 10 */    285,    490,    894,   1185,   1555,   1910,   5998,   6862,  10702,  10703, 
/* msg =   1965, deg = 10 */     80,    546,    923,   1378,   1494,   2826,   4532,   8138,  10703,  10704, 
/* msg =   1966, deg = 10 */    116,    466,    881,   1151,   1543,   2747,   5730,   8330,  10704,  10705, 
/* msg =   1967, deg = 10 */    212,    540,   1039,   1203,   1496,   2278,   6065,   6588,  10705,  10706, 
/* msg =   1968, deg = 10 */    187,    551,    862,   1261,   1476,   2059,   4320,   8383,  10706,  10707, 
/* msg =   1969, deg = 10 */     78,    604,   1044,   1379,   1530,   2261,   5053,   6138,  10707,  10708, 
/* msg =   1970, deg = 10 */     97,    472,    847,   1080,   1551,   2646,   3698,   6287,  10708,  10709, 
/* msg =   1971, deg = 10 */    355,    369,    950,   1109,   1481,   2332,   4797,   6254,  10709,  10710, 
/* msg =   1972, deg = 10 */    245,    508,    943,   1212,   1692,   3010,   5332,   7693,  10710,  10711, 
/* msg =   1973, deg = 10 */    258,    584,    974,   1425,   1538,   1899,   4074,   6613,  10711,  10712, 
/* msg =   1974, deg = 10 */     37,    689,    831,   1179,   1555,   3362,   5538,   6700,  10712,  10713, 
/* msg =   1975, deg = 10 */    357,    548,    820,   1303,   1651,   3344,   3801,   7926,  10713,  10714, 
/* msg =   1976, deg = 10 */    127,    482,    908,   1185,   1587,   3071,   3881,   7307,  10715,  10716, 
/* msg =   1977, deg = 10 */    119,    460,   1046,   1081,   1567,   2644,   4300,   7683,  10716,  10717, 
/* msg =   1978, deg = 10 */    254,    368,    824,   1092,   1544,   3188,   4689,   8366,  10717,  10718, 
/* msg =   1979, deg = 10 */    237,    463,    836,   1217,   1761,   2374,   4790,   7918,  10718,  10719, 
/* msg =   1980, deg = 10 */    221,    486,    902,   1406,   1680,   2065,   5367,   8231,  10719,  10720, 
/* msg =   1981, deg = 10 */      5,    481,    892,   1258,   1544,   3095,   4507,   6946,  10720,  10721, 
/* msg =   1982, deg = 10 */     71,    374,    900,   1216,   1507,   3409,   4162,   6973,  10721,  10722, 
/* msg =   1983, deg = 10 */      4,    463,    922,   1223,   1500,   3564,   5719,   7300,  10722,  10723, 
/* msg =   1984, deg = 10 */    286,    491,    895,   1186,   1556,   1911,   5999,   6863,  10723,  10724, 
/* msg =   1985, deg = 10 */     81,    547,    924,   1379,   1495,   2827,   4533,   8139,  10724,  10725, 
/* msg =   1986, deg = 10 */    117,    467,    882,   1152,   1544,   2748,   5731,   8331,  10725,  10726, 
/* msg =   1987, deg = 10 */    213,    541,   1040,   1204,   1497,   2279,   6066,   6589,  10726,  10727, 
/* msg =   1988, deg = 10 */    188,    552,    863,   1262,   1477,   2060,   4321,   8384,  10727,  10728, 
/* msg =   1989, deg = 10 */     79,    605,   1045,   1380,   1531,   2262,   5054,   6139,  10728,  10729, 
/* msg =   1990, deg = 10 */     98,    473,    848,   1081,   1552,   2647,   3699,   6288,  10729,  10730, 
/* msg =   1991, deg = 10 */    356,    370,    951,   1110,   1482,   2333,   4798,   6255,  10730,  10731, 
/* msg =   1992, deg = 10 */    246,    509,    944,   1213,   1693,   3011,   5333,   7694,  10731,  10732, 
/* msg =   1993, deg = 10 */    259,    585,    975,   1426,   1539,   1900,   4075,   6614,  10732,  10733, 
/* msg =   1994, deg = 10 */     38,    690,    832,   1180,   1556,   3363,   5539,   6701,  10733,  10734, 
/* msg =   1995, deg = 10 */    358,    549,    821,   1304,   1652,   3345,   3802,   7927,  10734,  10735, 
/* msg =   1996, deg = 10 */    128,    483,    909,   1186,   1588,   3072,   3882,   7308,  10736,  10737, 
/* msg =   1997, deg = 10 */    120,    461,   1047,   1082,   1568,   2645,   4301,   7684,  10737,  10738, 
/* msg =   1998, deg = 10 */    255,    369,    825,   1093,   1545,   3189,   4690,   8367,  10738,  10739, 
/* msg =   1999, deg = 10 */    238,    464,    837,   1218,   1762,   2375,   4791,   7919,  10739,  10740, 
/* msg =   2000, deg = 10 */    222,    487,    903,   1407,   1681,   2066,   5368,   8232,  10740,  10741, 
/* msg =   2001, deg = 10 */      6,    482,    893,   1259,   1545,   3096,   4508,   6947,  10741,  10742, 
/* msg =   2002, deg = 10 */     72,    375,    901,   1217,   1508,   3410,   4163,   6974,  10742,  10743, 
/* msg =   2003, deg = 10 */      5,    464,    923,   1224,   1501,   3565,   5720,   7301,  10743,  10744, 
/* msg =   2004, deg = 10 */    287,    492,    896,   1187,   1557,   1912,   6000,   6864,  10744,  10745, 
/* msg =   2005, deg = 10 */     82,    548,    925,   1380,   1496,   2828,   4534,   8140,  10745,  10746, 
/* msg =   2006, deg = 10 */    118,    468,    883,   1153,   1545,   2749,   5732,   8332,  10746,  10747, 
/* msg =   2007, deg = 10 */    214,    542,   1041,   1205,   1498,   2280,   6067,   6590,  10747,  10748, 
/* msg =   2008, deg = 10 */    189,    553,    864,   1263,   1478,   2061,   4322,   8385,  10748,  10749, 
/* msg =   2009, deg = 10 */     80,    606,   1046,   1381,   1532,   2263,   5055,   6140,  10749,  10750, 
/* msg =   2010, deg = 10 */     99,    474,    849,   1082,   1553,   2648,   3700,   6289,  10750,  10751, 
/* msg =   2011, deg = 10 */    357,    371,    952,   1111,   1483,   2334,   4799,   6256,  10751,  10752, 
/* msg =   2012, deg = 10 */    247,    510,    945,   1214,   1694,   3012,   5334,   7695,  10752,  10753, 
/* msg =   2013, deg = 10 */    260,    586,    976,   1427,   1540,   1901,   4076,   6615,  10753,  10754, 
/* msg =   2014, deg = 10 */     39,    691,    833,   1181,   1557,   3364,   5540,   6702,  10754,  10755, 
/* msg =   2015, deg = 10 */    359,    550,    822,   1305,   1653,   3346,   3803,   7928,  10755,  10756, 
/* msg =   2016, deg = 10 */    129,    484,    910,   1187,   1589,   3073,   3883,   7309,  10757,  10758, 
/* msg =   2017, deg = 10 */    121,    462,   1048,   1083,   1569,   2646,   4302,   7685,  10758,  10759, 
/* msg =   2018, deg = 10 */    256,    370,    826,   1094,   1546,   3190,   4691,   8368,  10759,  10760, 
/* msg =   2019, deg = 10 */    239,    465,    838,   1219,   1763,   2376,   4792,   7560,  10760,  10761, 
/* msg =   2020, deg = 10 */    223,    488,    904,   1408,   1682,   2067,   5369,   8233,  10761,  10762, 
/* msg =   2021, deg = 10 */      7,    483,    894,   1260,   1546,   3097,   4509,   6948,  10762,  10763, 
/* msg =   2022, deg = 10 */     73,    376,    902,   1218,   1509,   3411,   4164,   6975,  10763,  10764, 
/* msg =   2023, deg = 10 */      6,    465,    924,   1225,   1502,   3566,   5721,   7302,  10764,  10765, 
/* msg =   2024, deg = 10 */    288,    493,    897,   1188,   1558,   1913,   6001,   6865,  10765,  10766, 
/* msg =   2025, deg = 10 */     83,    549,    926,   1381,   1497,   2829,   4535,   8141,  10766,  10767, 
/* msg =   2026, deg = 10 */    119,    469,    884,   1154,   1546,   2750,   5733,   8333,  10767,  10768, 
/* msg =   2027, deg = 10 */    215,    543,   1042,   1206,   1499,   2281,   6068,   6591,  10768,  10769, 
/* msg =   2028, deg = 10 */    190,    554,    865,   1264,   1479,   2062,   4323,   8386,  10769,  10770, 
/* msg =   2029, deg = 10 */     81,    607,   1047,   1382,   1533,   2264,   5056,   6141,  10770,  10771, 
/* msg =   2030, deg = 10 */    100,    475,    850,   1083,   1554,   2649,   3701,   6290,  10771,  10772, 
/* msg =   2031, deg = 10 */    358,    372,    953,   1112,   1484,   2335,   4800,   6257,  10772,  10773, 
/* msg =   2032, deg = 10 */    248,    511,    946,   1215,   1695,   3013,   5335,   7696,  10773,  10774, 
/* msg =   2033, deg = 10 */    261,    587,    977,   1428,   1541,   1902,   4077,   6616,  10774,  10775, 
/* msg =   2034, deg = 10 */     40,    692,    834,   1182,   1558,   3365,   5541,   6703,  10775,  10776, 
/* msg =   2035, deg = 10 */      0,    551,    823,   1306,   1654,   3347,   3804,   7929,  10776,  10777, 
/* msg =   2036, deg = 10 */    130,    485,    911,   1188,   1590,   3074,   3884,   7310,  10778,  10779, 
/* msg =   2037, deg = 10 */    122,    463,   1049,   1084,   1570,   2647,   4303,   7686,  10779,  10780, 
/* msg =   2038, deg = 10 */    257,    371,    827,   1095,   1547,   3191,   4692,   8369,  10780,  10781, 
/* msg =   2039, deg = 10 */    240,    466,    839,   1220,   1764,   2377,   4793,   7561,  10781,  10782, 
/* msg =   2040, deg = 10 */    224,    489,    905,   1409,   1683,   2068,   5370,   8234,  10782,  10783, 
/* msg =   2041, deg = 10 */      8,    484,    895,   1261,   1547,   3098,   4510,   6949,  10783,  10784, 
/* msg =   2042, deg = 10 */     74,    377,    903,   1219,   1510,   3412,   4165,   6976,  10784,  10785, 
/* msg =   2043, deg = 10 */      7,    466,    925,   1226,   1503,   3567,   5722,   7303,  10785,  10786, 
/* msg =   2044, deg = 10 */    289,    494,    898,   1189,   1559,   1914,   6002,   6866,  10786,  10787, 
/* msg =   2045, deg = 10 */     84,    550,    927,   1382,   1498,   2830,   4536,   8142,  10787,  10788, 
/* msg =   2046, deg = 10 */    120,    470,    885,   1155,   1547,   2751,   5734,   8334,  10788,  10789, 
/* msg =   2047, deg = 10 */    216,    544,   1043,   1207,   1500,   2282,   6069,   6592,  10789,  10790, 
/* msg =   2048, deg = 10 */    191,    555,    866,   1265,   1480,   2063,   4324,   8387,  10790,  10791, 
/* msg =   2049, deg = 10 */     82,    608,   1048,   1383,   1534,   2265,   5057,   6142,  10791,  10792, 
/* msg =   2050, deg = 10 */    101,    476,    851,   1084,   1555,   2650,   3702,   6291,  10792,  10793, 
/* msg =   2051, deg = 10 */    359,    373,    954,   1113,   1485,   2336,   4801,   6258,  10793,  10794, 
/* msg =   2052, deg = 10 */    249,    512,    947,   1216,   1696,   3014,   5336,   7697,  10794,  10795, 
/* msg =   2053, deg = 10 */    262,    588,    978,   1429,   1542,   1903,   4078,   6617,  10795,  10796, 
/* msg =   2054, deg = 10 */     41,    693,    835,   1183,   1559,   3366,   5542,   6704,  10796,  10797, 
/* msg =   2055, deg = 10 */      1,    552,    824,   1307,   1655,   3348,   3805,   7930,  10797,  10798, 
/* msg =   2056, deg = 10 */    131,    486,    912,   1189,   1591,   3075,   3885,   7311,  10799,  10800, 
/* msg =   2057, deg = 10 */    123,    464,   1050,   1085,   1571,   2648,   4304,   7687,  10800,  10801, 
/* msg =   2058, deg = 10 */    258,    372,    828,   1096,   1548,   3192,   4693,   8370,  10801,  10802, 
/* msg =   2059, deg = 10 */    241,    467,    840,   1221,   1765,   2378,   4794,   7562,  10802,  10803, 
/* msg =   2060, deg = 10 */    225,    490,    906,   1410,   1684,   2069,   5371,   8235,  10803,  10804, 
/* msg =   2061, deg = 10 */      9,    485,    896,   1262,   1548,   3099,   4511,   6950,  10804,  10805, 
/* msg =   2062, deg = 10 */     75,    378,    904,   1220,   1511,   3413,   4166,   6977,  10805,  10806, 
/* msg =   2063, deg = 10 */      8,    467,    926,   1227,   1504,   3568,   5723,   7304,  10806,  10807, 
/* msg =   2064, deg = 10 */    290,    495,    899,   1190,   1560,   1915,   6003,   6867,  10807,  10808, 
/* msg =   2065, deg = 10 */     85,    551,    928,   1383,   1499,   2831,   4537,   8143,  10808,  10809, 
/* msg =   2066, deg = 10 */    121,    471,    886,   1156,   1548,   2752,   5735,   8335,  10809,  10810, 
/* msg =   2067, deg = 10 */    217,    545,   1044,   1208,   1501,   2283,   6070,   6593,  10810,  10811, 
/* msg =   2068, deg = 10 */    192,    556,    867,   1266,   1481,   2064,   4325,   8388,  10811,  10812, 
/* msg =   2069, deg = 10 */     83,    609,   1049,   1384,   1535,   2266,   5058,   6143,  10812,  10813, 
/* msg =   2070, deg = 10 */    102,    477,    852,   1085,   1556,   2651,   3703,   6292,  10813,  10814, 
/* msg =   2071, deg = 10 */      0,    374,    955,   1114,   1486,   2337,   4802,   6259,  10814,  10815, 
/* msg =   2072, deg = 10 */    250,    513,    948,   1217,   1697,   3015,   5337,   7698,  10815,  10816, 
/* msg =   2073, deg = 10 */    263,    589,    979,   1430,   1543,   1904,   4079,   6618,  10816,  10817, 
/* msg =   2074, deg = 10 */     42,    694,    836,   1184,   1560,   3367,   5543,   6705,  10817,  10818, 
/* msg =   2075, deg = 10 */      2,    553,    825,   1308,   1656,   3349,   3806,   7931,  10818,  10819, 
/* msg =   2076, deg = 10 */    132,    487,    913,   1190,   1592,   3076,   3886,   7312,  10820,  10821, 
/* msg =   2077, deg = 10 */    124,    465,   1051,   1086,   1572,   2649,   4305,   7688,  10821,  10822, 
/* msg =   2078, deg = 10 */    259,    373,    829,   1097,   1549,   3193,   4694,   8371,  10822,  10823, 
/* msg =   2079, deg = 10 */    242,    468,    841,   1222,   1766,   2379,   4795,   7563,  10823,  10824, 
/* msg =   2080, deg = 10 */    226,    491,    907,   1411,   1685,   2070,   5372,   8236,  10824,  10825, 
/* msg =   2081, deg = 10 */     10,    486,    897,   1263,   1549,   3100,   4512,   6951,  10825,  10826, 
/* msg =   2082, deg = 10 */     76,    379,    905,   1221,   1512,   3414,   4167,   6978,  10826,  10827, 
/* msg =   2083, deg = 10 */      9,    468,    927,   1228,   1505,   3569,   5724,   7305,  10827,  10828, 
/* msg =   2084, deg = 10 */    291,    496,    900,   1191,   1561,   1916,   6004,   6868,  10828,  10829, 
/* msg =   2085, deg = 10 */     86,    552,    929,   1384,   1500,   2832,   4538,   8144,  10829,  10830, 
/* msg =   2086, deg = 10 */    122,    472,    887,   1157,   1549,   2753,   5736,   8336,  10830,  10831, 
/* msg =   2087, deg = 10 */    218,    546,   1045,   1209,   1502,   2284,   6071,   6594,  10831,  10832, 
/* msg =   2088, deg = 10 */    193,    557,    868,   1267,   1482,   2065,   4326,   8389,  10832,  10833, 
/* msg =   2089, deg = 10 */     84,    610,   1050,   1385,   1536,   2267,   5059,   6144,  10833,  10834, 
/* msg =   2090, deg = 10 */    103,    478,    853,   1086,   1557,   2652,   3704,   6293,  10834,  10835, 
/* msg =   2091, deg = 10 */      1,    375,    956,   1115,   1487,   2338,   4803,   6260,  10835,  10836, 
/* msg =   2092, deg = 10 */    251,    514,    949,   1218,   1698,   3016,   5338,   7699,  10836,  10837, 
/* msg =   2093, deg = 10 */    264,    590,    980,   1431,   1544,   1905,   4080,   6619,  10837,  10838, 
/* msg =   2094, deg = 10 */     43,    695,    837,   1185,   1561,   3368,   5544,   6706,  10838,  10839, 
/* msg =   2095, deg = 10 */      3,    554,    826,   1309,   1657,   3350,   3807,   7932,  10839,  10840, 
/* msg =   2096, deg = 10 */    133,    488,    914,   1191,   1593,   3077,   3887,   7313,  10841,  10842, 
/* msg =   2097, deg = 10 */    125,    466,   1052,   1087,   1573,   2650,   4306,   7689,  10842,  10843, 
/* msg =   2098, deg = 10 */    260,    374,    830,   1098,   1550,   3194,   4695,   8372,  10843,  10844, 
/* msg =   2099, deg = 10 */    243,    469,    842,   1223,   1767,   2380,   4796,   7564,  10844,  10845, 
/* msg =   2100, deg = 10 */    227,    492,    908,   1412,   1686,   2071,   5373,   8237,  10845,  10846, 
/* msg =   2101, deg = 10 */     11,    487,    898,   1264,   1550,   3101,   4513,   6952,  10846,  10847, 
/* msg =   2102, deg = 10 */     77,    380,    906,   1222,   1513,   3415,   4168,   6979,  10847,  10848, 
/* msg =   2103, deg = 10 */     10,    469,    928,   1229,   1506,   3570,   5725,   7306,  10848,  10849, 
/* msg =   2104, deg = 10 */    292,    497,    901,   1192,   1562,   1917,   6005,   6869,  10849,  10850, 
/* msg =   2105, deg = 10 */     87,    553,    930,   1385,   1501,   2833,   4539,   8145,  10850,  10851, 
/* msg =   2106, deg = 10 */    123,    473,    888,   1158,   1550,   2754,   5737,   8337,  10851,  10852, 
/* msg =   2107, deg = 10 */    219,    547,   1046,   1210,   1503,   2285,   6072,   6595,  10852,  10853, 
/* msg =   2108, deg = 10 */    194,    558,    869,   1268,   1483,   2066,   4327,   8390,  10853,  10854, 
/* msg =   2109, deg = 10 */     85,    611,   1051,   1386,   1537,   2268,   5060,   6145,  10854,  10855, 
/* msg =   2110, deg = 10 */    104,    479,    854,   1087,   1558,   2653,   3705,   6294,  10855,  10856, 
/* msg =   2111, deg = 10 */      2,    376,    957,   1116,   1488,   2339,   4804,   6261,  10856,  10857, 
/* msg =   2112, deg = 10 */    252,    515,    950,   1219,   1699,   3017,   5339,   7700,  10857,  10858, 
/* msg =   2113, deg = 10 */    265,    591,    981,   1432,   1545,   1906,   4081,   6620,  10858,  10859, 
/* msg =   2114, deg = 10 */     44,    696,    838,   1186,   1562,   3369,   5545,   6707,  10859,  10860, 
/* msg =   2115, deg = 10 */      4,    555,    827,   1310,   1658,   3351,   3808,   7933,  10860,  10861, 
/* msg =   2116, deg = 10 */    134,    489,    915,   1192,   1594,   3078,   3888,   7314,  10862,  10863, 
/* msg =   2117, deg = 10 */    126,    467,   1053,   1088,   1574,   2651,   4307,   7690,  10863,  10864, 
/* msg =   2118, deg = 10 */    261,    375,    831,   1099,   1551,   3195,   4696,   8373,  10864,  10865, 
/* msg =   2119, deg = 10 */    244,    470,    843,   1224,   1768,   2381,   4797,   7565,  10865,  10866, 
/* msg =   2120, deg = 10 */    228,    493,    909,   1413,   1687,   2072,   5374,   8238,  10866,  10867, 
/* msg =   2121, deg = 10 */     12,    488,    899,   1265,   1551,   3102,   4514,   6953,  10867,  10868, 
/* msg =   2122, deg = 10 */     78,    381,    907,   1223,   1514,   3416,   4169,   6980,  10868,  10869, 
/* msg =   2123, deg = 10 */     11,    470,    929,   1230,   1507,   3571,   5726,   7307,  10869,  10870, 
/* msg =   2124, deg = 10 */    293,    498,    902,   1193,   1563,   1918,   6006,   6870,  10870,  10871, 
/* msg =   2125, deg = 10 */     88,    554,    931,   1386,   1502,   2834,   4540,   8146,  10871,  10872, 
/* msg =   2126, deg = 10 */    124,    474,    889,   1159,   1551,   2755,   5738,   8338,  10872,  10873, 
/* msg =   2127, deg = 10 */    220,    548,   1047,   1211,   1504,   2286,   6073,   6596,  10873,  10874, 
/* msg =   2128, deg = 10 */    195,    559,    870,   1269,   1484,   2067,   4328,   8391,  10874,  10875, 
/* msg =   2129, deg = 10 */     86,    612,   1052,   1387,   1538,   2269,   5061,   6146,  10875,  10876, 
/* msg =   2130, deg = 10 */    105,    480,    855,   1088,   1559,   2654,   3706,   6295,  10876,  10877, 
/* msg =   2131, deg = 10 */      3,    377,    958,   1117,   1489,   2340,   4805,   6262,  10877,  10878, 
/* msg =   2132, deg = 10 */    253,    516,    951,   1220,   1700,   3018,   5340,   7701,  10878,  10879, 
/* msg =   2133, deg = 10 */    266,    592,    982,   1433,   1546,   1907,   4082,   6621,  10879,  10880, 
/* msg =   2134, deg = 10 */     45,    697,    839,   1187,   1563,   3370,   5546,   6708,  10880,  10881, 
/* msg =   2135, deg = 10 */      5,    556,    828,   1311,   1659,   3352,   3809,   7934,  10881,  10882, 
/* msg =   2136, deg = 10 */    135,    490,    916,   1193,   1595,   3079,   3889,   7315,  10883,  10884, 
/* msg =   2137, deg = 10 */    127,    468,   1054,   1089,   1575,   2652,   4308,   7691,  10884,  10885, 
/* msg =   2138, deg = 10 */    262,    376,    832,   1100,   1552,   3196,   4697,   8374,  10885,  10886, 
/* msg =   2139, deg = 10 */    245,    471,    844,   1225,   1769,   2382,   4798,   7566,  10886,  10887, 
/* msg =   2140, deg = 10 */    229,    494,    910,   1414,   1688,   2073,   5375,   8239,  10887,  10888, 
/* msg =   2141, deg = 10 */     13,    489,    900,   1266,   1552,   3103,   4515,   6954,  10888,  10889, 
/* msg =   2142, deg = 10 */     79,    382,    908,   1224,   1515,   3417,   4170,   6981,  10889,  10890, 
/* msg =   2143, deg = 10 */     12,    471,    930,   1231,   1508,   3572,   5727,   7308,  10890,  10891, 
/* msg =   2144, deg = 10 */    294,    499,    903,   1194,   1564,   1919,   6007,   6871,  10891,  10892, 
/* msg =   2145, deg = 10 */     89,    555,    932,   1387,   1503,   2835,   4541,   8147,  10892,  10893, 
/* msg =   2146, deg = 10 */    125,    475,    890,   1160,   1552,   2756,   5739,   8339,  10893,  10894, 
/* msg =   2147, deg = 10 */    221,    549,   1048,   1212,   1505,   2287,   6074,   6597,  10894,  10895, 
/* msg =   2148, deg = 10 */    196,    560,    871,   1270,   1485,   2068,   4329,   8392,  10895,  10896, 
/* msg =   2149, deg = 10 */     87,    613,   1053,   1388,   1539,   2270,   5062,   6147,  10896,  10897, 
/* msg =   2150, deg = 10 */    106,    481,    856,   1089,   1560,   2655,   3707,   6296,  10897,  10898, 
/* msg =   2151, deg = 10 */      4,    378,    959,   1118,   1490,   2341,   4806,   6263,  10898,  10899, 
/* msg =   2152, deg = 10 */    254,    517,    952,   1221,   1701,   3019,   5341,   7702,  10899,  10900, 
/* msg =   2153, deg = 10 */    267,    593,    983,   1434,   1547,   1908,   4083,   6622,  10900,  10901, 
/* msg =   2154, deg = 10 */     46,    698,    840,   1188,   1564,   3371,   5547,   6709,  10901,  10902, 
/* msg =   2155, deg = 10 */      6,    557,    829,   1312,   1660,   3353,   3810,   7935,  10902,  10903, 
/* msg =   2156, deg = 10 */    136,    491,    917,   1194,   1596,   3080,   3890,   7316,  10904,  10905, 
/* msg =   2157, deg = 10 */    128,    469,   1055,   1090,   1576,   2653,   4309,   7692,  10905,  10906, 
/* msg =   2158, deg = 10 */    263,    377,    833,   1101,   1553,   3197,   4698,   8375,  10906,  10907, 
/* msg =   2159, deg = 10 */    246,    472,    845,   1226,   1770,   2383,   4799,   7567,  10907,  10908, 
/* msg =   2160, deg = 10 */    230,    495,    911,   1415,   1689,   2074,   5376,   8240,  10908,  10909, 
/* msg =   2161, deg = 10 */     14,    490,    901,   1267,   1553,   3104,   4516,   6955,  10909,  10910, 
/* msg =   2162, deg = 10 */     80,    383,    909,   1225,   1516,   3418,   4171,   6982,  10910,  10911, 
/* msg =   2163, deg = 10 */     13,    472,    931,   1232,   1509,   3573,   5728,   7309,  10911,  10912, 
/* msg =   2164, deg = 10 */    295,    500,    904,   1195,   1565,   1920,   6008,   6872,  10912,  10913, 
/* msg =   2165, deg = 10 */     90,    556,    933,   1388,   1504,   2836,   4542,   8148,  10913,  10914, 
/* msg =   2166, deg = 10 */    126,    476,    891,   1161,   1553,   2757,   5740,   8340,  10914,  10915, 
/* msg =   2167, deg = 10 */    222,    550,   1049,   1213,   1506,   2288,   6075,   6598,  10915,  10916, 
/* msg =   2168, deg = 10 */    197,    561,    872,   1271,   1486,   2069,   4330,   8393,  10916,  10917, 
/* msg =   2169, deg = 10 */     88,    614,   1054,   1389,   1540,   2271,   5063,   6148,  10917,  10918, 
/* msg =   2170, deg = 10 */    107,    482,    857,   1090,   1561,   2656,   3708,   6297,  10918,  10919, 
/* msg =   2171, deg = 10 */      5,    379,    960,   1119,   1491,   2342,   4807,   6264,  10919,  10920, 
/* msg =   2172, deg = 10 */    255,    518,    953,   1222,   1702,   3020,   5342,   7703,  10920,  10921, 
/* msg =   2173, deg = 10 */    268,    594,    984,   1435,   1548,   1909,   4084,   6623,  10921,  10922, 
/* msg =   2174, deg = 10 */     47,    699,    841,   1189,   1565,   3372,   5548,   6710,  10922,  10923, 
/* msg =   2175, deg = 10 */      7,    558,    830,   1313,   1661,   3354,   3811,   7936,  10923,  10924, 
/* msg =   2176, deg = 10 */    137,    492,    918,   1195,   1597,   3081,   3891,   7317,  10925,  10926, 
/* msg =   2177, deg = 10 */    129,    470,   1056,   1091,   1577,   2654,   4310,   7693,  10926,  10927, 
/* msg =   2178, deg = 10 */    264,    378,    834,   1102,   1554,   3198,   4699,   8376,  10927,  10928, 
/* msg =   2179, deg = 10 */    247,    473,    846,   1227,   1771,   2384,   4800,   7568,  10928,  10929, 
/* msg =   2180, deg = 10 */    231,    496,    912,   1416,   1690,   2075,   5377,   8241,  10929,  10930, 
/* msg =   2181, deg = 10 */     15,    491,    902,   1268,   1554,   3105,   4517,   6956,  10930,  10931, 
/* msg =   2182, deg = 10 */     81,    384,    910,   1226,   1517,   3419,   4172,   6983,  10931,  10932, 
/* msg =   2183, deg = 10 */     14,    473,    932,   1233,   1510,   3574,   5729,   7310,  10932,  10933, 
/* msg =   2184, deg = 10 */    296,    501,    905,   1196,   1566,   1921,   6009,   6873,  10933,  10934, 
/* msg =   2185, deg = 10 */     91,    557,    934,   1389,   1505,   2837,   4543,   8149,  10934,  10935, 
/* msg =   2186, deg = 10 */    127,    477,    892,   1162,   1554,   2758,   5741,   8341,  10935,  10936, 
/* msg =   2187, deg = 10 */    223,    551,   1050,   1214,   1507,   2289,   6076,   6599,  10936,  10937, 
/* msg =   2188, deg = 10 */    198,    562,    873,   1272,   1487,   2070,   4331,   8394,  10937,  10938, 
/* msg =   2189, deg = 10 */     89,    615,   1055,   1390,   1541,   2272,   5064,   6149,  10938,  10939, 
/* msg =   2190, deg = 10 */    108,    483,    858,   1091,   1562,   2657,   3709,   6298,  10939,  10940, 
/* msg =   2191, deg = 10 */      6,    380,    961,   1120,   1492,   2343,   4808,   6265,  10940,  10941, 
/* msg =   2192, deg = 10 */    256,    519,    954,   1223,   1703,   3021,   5343,   7704,  10941,  10942, 
/* msg =   2193, deg = 10 */    269,    595,    985,   1436,   1549,   1910,   4085,   6624,  10942,  10943, 
/* msg =   2194, deg = 10 */     48,    700,    842,   1190,   1566,   3373,   5549,   6711,  10943,  10944, 
/* msg =   2195, deg = 10 */      8,    559,    831,   1314,   1662,   3355,   3812,   7937,  10944,  10945, 
/* msg =   2196, deg = 10 */    138,    493,    919,   1196,   1598,   3082,   3892,   7318,  10946,  10947, 
/* msg =   2197, deg = 10 */    130,    471,   1057,   1092,   1578,   2655,   4311,   7694,  10947,  10948, 
/* msg =   2198, deg = 10 */    265,    379,    835,   1103,   1555,   3199,   4700,   8377,  10948,  10949, 
/* msg =   2199, deg = 10 */    248,    474,    847,   1228,   1772,   2385,   4801,   7569,  10949,  10950, 
/* msg =   2200, deg = 10 */    232,    497,    913,   1417,   1691,   2076,   5378,   8242,  10950,  10951, 
/* msg =   2201, deg = 10 */     16,    492,    903,   1269,   1555,   3106,   4518,   6957,  10951,  10952, 
/* msg =   2202, deg = 10 */     82,    385,    911,   1227,   1518,   3420,   4173,   6984,  10952,  10953, 
/* msg =   2203, deg = 10 */     15,    474,    933,   1234,   1511,   3575,   5730,   7311,  10953,  10954, 
/* msg =   2204, deg = 10 */    297,    502,    906,   1197,   1567,   1922,   6010,   6874,  10954,  10955, 
/* msg =   2205, deg = 10 */     92,    558,    935,   1390,   1506,   2838,   4544,   8150,  10955,  10956, 
/* msg =   2206, deg = 10 */    128,    478,    893,   1163,   1555,   2759,   5742,   8342,  10956,  10957, 
/* msg =   2207, deg = 10 */    224,    552,   1051,   1215,   1508,   2290,   6077,   6600,  10957,  10958, 
/* msg =   2208, deg = 10 */    199,    563,    874,   1273,   1488,   2071,   4332,   8395,  10958,  10959, 
/* msg =   2209, deg = 10 */     90,    616,   1056,   1391,   1542,   2273,   5065,   6150,  10959,  10960, 
/* msg =   2210, deg = 10 */    109,    484,    859,   1092,   1563,   2658,   3710,   6299,  10960,  10961, 
/* msg =   2211, deg = 10 */      7,    381,    962,   1121,   1493,   2344,   4809,   6266,  10961,  10962, 
/* msg =   2212, deg = 10 */    257,    520,    955,   1224,   1704,   3022,   5344,   7705,  10962,  10963, 
/* msg =   2213, deg = 10 */    270,    596,    986,   1437,   1550,   1911,   4086,   6625,  10963,  10964, 
/* msg =   2214, deg = 10 */     49,    701,    843,   1191,   1567,   3374,   5550,   6712,  10964,  10965, 
/* msg =   2215, deg = 10 */      9,    560,    832,   1315,   1663,   3356,   3813,   7938,  10965,  10966, 
/* msg =   2216, deg = 10 */    139,    494,    920,   1197,   1599,   3083,   3893,   7319,  10967,  10968, 
/* msg =   2217, deg = 10 */    131,    472,   1058,   1093,   1579,   2656,   4312,   7695,  10968,  10969, 
/* msg =   2218, deg = 10 */    266,    380,    836,   1104,   1556,   3200,   4701,   8378,  10969,  10970, 
/* msg =   2219, deg = 10 */    249,    475,    848,   1229,   1773,   2386,   4802,   7570,  10970,  10971, 
/* msg =   2220, deg = 10 */    233,    498,    914,   1418,   1692,   2077,   5379,   8243,  10971,  10972, 
/* msg =   2221, deg = 10 */     17,    493,    904,   1270,   1556,   3107,   4519,   6958,  10972,  10973, 
/* msg =   2222, deg = 10 */     83,    386,    912,   1228,   1519,   3421,   4174,   6985,  10973,  10974, 
/* msg =   2223, deg = 10 */     16,    475,    934,   1235,   1512,   3576,   5731,   7312,  10974,  10975, 
/* msg =   2224, deg = 10 */    298,    503,    907,   1198,   1568,   1923,   6011,   6875,  10975,  10976, 
/* msg =   2225, deg = 10 */     93,    559,    936,   1391,   1507,   2839,   4545,   8151,  10976,  10977, 
/* msg =   2226, deg = 10 */    129,    479,    894,   1164,   1556,   2760,   5743,   8343,  10977,  10978, 
/* msg =   2227, deg = 10 */    225,    553,   1052,   1216,   1509,   2291,   6078,   6601,  10978,  10979, 
/* msg =   2228, deg = 10 */    200,    564,    875,   1274,   1489,   2072,   4333,   8396,  10979,  10980, 
/* msg =   2229, deg = 10 */     91,    617,   1057,   1392,   1543,   2274,   5066,   6151,  10980,  10981, 
/* msg =   2230, deg = 10 */    110,    485,    860,   1093,   1564,   2659,   3711,   6300,  10981,  10982, 
/* msg =   2231, deg = 10 */      8,    382,    963,   1122,   1494,   2345,   4810,   6267,  10982,  10983, 
/* msg =   2232, deg = 10 */    258,    521,    956,   1225,   1705,   3023,   5345,   7706,  10983,  10984, 
/* msg =   2233, deg = 10 */    271,    597,    987,   1438,   1551,   1912,   4087,   6626,  10984,  10985, 
/* msg =   2234, deg = 10 */     50,    702,    844,   1192,   1568,   3375,   5551,   6713,  10985,  10986, 
/* msg =   2235, deg = 10 */     10,    561,    833,   1316,   1664,   3357,   3814,   7939,  10986,  10987, 
/* msg =   2236, deg = 10 */    140,    495,    921,   1198,   1600,   3084,   3894,   7320,  10988,  10989, 
/* msg =   2237, deg = 10 */    132,    473,   1059,   1094,   1580,   2657,   4313,   7696,  10989,  10990, 
/* msg =   2238, deg = 10 */    267,    381,    837,   1105,   1557,   3201,   4702,   8379,  10990,  10991, 
/* msg =   2239, deg = 10 */    250,    476,    849,   1230,   1774,   2387,   4803,   7571,  10991,  10992, 
/* msg =   2240, deg = 10 */    234,    499,    915,   1419,   1693,   2078,   5380,   8244,  10992,  10993, 
/* msg =   2241, deg = 10 */     18,    494,    905,   1271,   1557,   3108,   4520,   6959,  10993,  10994, 
/* msg =   2242, deg = 10 */     84,    387,    913,   1229,   1520,   3422,   4175,   6986,  10994,  10995, 
/* msg =   2243, deg = 10 */     17,    476,    935,   1236,   1513,   3577,   5732,   7313,  10995,  10996, 
/* msg =   2244, deg = 10 */    299,    504,    908,   1199,   1569,   1924,   6012,   6876,  10996,  10997, 
/* msg =   2245, deg = 10 */     94,    560,    937,   1392,   1508,   2840,   4546,   8152,  10997,  10998, 
/* msg =   2246, deg = 10 */    130,    480,    895,   1165,   1557,   2761,   5744,   8344,  10998,  10999, 
/* msg =   2247, deg = 10 */    226,    554,   1053,   1217,   1510,   2292,   6079,   6602,  10999,  11000, 
/* msg =   2248, deg = 10 */    201,    565,    876,   1275,   1490,   2073,   4334,   8397,  11000,  11001, 
/* msg =   2249, deg = 10 */     92,    618,   1058,   1393,   1544,   2275,   5067,   6152,  11001,  11002, 
/* msg =   2250, deg = 10 */    111,    486,    861,   1094,   1565,   2660,   3712,   6301,  11002,  11003, 
/* msg =   2251, deg = 10 */      9,    383,    964,   1123,   1495,   2346,   4811,   6268,  11003,  11004, 
/* msg =   2252, deg = 10 */    259,    522,    957,   1226,   1706,   3024,   5346,   7707,  11004,  11005, 
/* msg =   2253, deg = 10 */    272,    598,    988,   1439,   1552,   1913,   4088,   6627,  11005,  11006, 
/* msg =   2254, deg = 10 */     51,    703,    845,   1193,   1569,   3376,   5552,   6714,  11006,  11007, 
/* msg =   2255, deg = 10 */     11,    562,    834,   1317,   1665,   3358,   3815,   7940,  11007,  11008, 
/* msg =   2256, deg = 10 */    141,    496,    922,   1199,   1601,   3085,   3895,   7321,  11009,  11010, 
/* msg =   2257, deg = 10 */    133,    474,   1060,   1095,   1581,   2658,   4314,   7697,  11010,  11011, 
/* msg =   2258, deg = 10 */    268,    382,    838,   1106,   1558,   3202,   4703,   8380,  11011,  11012, 
/* msg =   2259, deg = 10 */    251,    477,    850,   1231,   1775,   2388,   4804,   7572,  11012,  11013, 
/* msg =   2260, deg = 10 */    235,    500,    916,   1420,   1694,   2079,   5381,   8245,  11013,  11014, 
/* msg =   2261, deg = 10 */     19,    495,    906,   1272,   1558,   3109,   4521,   6960,  11014,  11015, 
/* msg =   2262, deg = 10 */     85,    388,    914,   1230,   1521,   3423,   4176,   6987,  11015,  11016, 
/* msg =   2263, deg = 10 */     18,    477,    936,   1237,   1514,   3578,   5733,   7314,  11016,  11017, 
/* msg =   2264, deg = 10 */    300,    505,    909,   1200,   1570,   1925,   6013,   6877,  11017,  11018, 
/* msg =   2265, deg = 10 */     95,    561,    938,   1393,   1509,   2841,   4547,   8153,  11018,  11019, 
/* msg =   2266, deg = 10 */    131,    481,    896,   1166,   1558,   2762,   5745,   8345,  11019,  11020, 
/* msg =   2267, deg = 10 */    227,    555,   1054,   1218,   1511,   2293,   6080,   6603,  11020,  11021, 
/* msg =   2268, deg = 10 */    202,    566,    877,   1276,   1491,   2074,   4335,   8398,  11021,  11022, 
/* msg =   2269, deg = 10 */     93,    619,   1059,   1394,   1545,   2276,   5068,   6153,  11022,  11023, 
/* msg =   2270, deg = 10 */    112,    487,    862,   1095,   1566,   2661,   3713,   6302,  11023,  11024, 
/* msg =   2271, deg = 10 */     10,    384,    965,   1124,   1496,   2347,   4812,   6269,  11024,  11025, 
/* msg =   2272, deg = 10 */    260,    523,    958,   1227,   1707,   3025,   5347,   7708,  11025,  11026, 
/* msg =   2273, deg = 10 */    273,    599,    989,   1080,   1553,   1914,   4089,   6628,  11026,  11027, 
/* msg =   2274, deg = 10 */     52,    704,    846,   1194,   1570,   3377,   5553,   6715,  11027,  11028, 
/* msg =   2275, deg = 10 */     12,    563,    835,   1318,   1666,   3359,   3816,   7941,  11028,  11029, 
/* msg =   2276, deg = 10 */    142,    497,    923,   1200,   1602,   3086,   3896,   7322,  11030,  11031, 
/* msg =   2277, deg = 10 */    134,    475,   1061,   1096,   1582,   2659,   4315,   7698,  11031,  11032, 
/* msg =   2278, deg = 10 */    269,    383,    839,   1107,   1559,   3203,   4704,   8381,  11032,  11033, 
/* msg =   2279, deg = 10 */    252,    478,    851,   1232,   1776,   2389,   4805,   7573,  11033,  11034, 
/* msg =   2280, deg = 10 */    236,    501,    917,   1421,   1695,   2080,   5382,   8246,  11034,  11035, 
/* msg =   2281, deg = 10 */     20,    496,    907,   1273,   1559,   3110,   4522,   6961,  11035,  11036, 
/* msg =   2282, deg = 10 */     86,    389,    915,   1231,   1522,   3424,   4177,   6988,  11036,  11037, 
/* msg =   2283, deg = 10 */     19,    478,    937,   1238,   1515,   3579,   5734,   7315,  11037,  11038, 
/* msg =   2284, deg = 10 */    301,    506,    910,   1201,   1571,   1926,   6014,   6878,  11038,  11039, 
/* msg =   2285, deg = 10 */     96,    562,    939,   1394,   1510,   2842,   4548,   8154,  11039,  11040, 
/* msg =   2286, deg = 10 */    132,    482,    897,   1167,   1559,   2763,   5746,   8346,  11040,  11041, 
/* msg =   2287, deg = 10 */    228,    556,   1055,   1219,   1512,   2294,   6081,   6604,  11041,  11042, 
/* msg =   2288, deg = 10 */    203,    567,    878,   1277,   1492,   2075,   4336,   8399,  11042,  11043, 
/* msg =   2289, deg = 10 */     94,    620,   1060,   1395,   1546,   2277,   5069,   6154,  11043,  11044, 
/* msg =   2290, deg = 10 */    113,    488,    863,   1096,   1567,   2662,   3714,   6303,  11044,  11045, 
/* msg =   2291, deg = 10 */     11,    385,    966,   1125,   1497,   2348,   4813,   6270,  11045,  11046, 
/* msg =   2292, deg = 10 */    261,    524,    959,   1228,   1708,   3026,   5348,   7709,  11046,  11047, 
/* msg =   2293, deg = 10 */    274,    600,    990,   1081,   1554,   1915,   4090,   6629,  11047,  11048, 
/* msg =   2294, deg = 10 */     53,    705,    847,   1195,   1571,   3378,   5554,   6716,  11048,  11049, 
/* msg =   2295, deg = 10 */     13,    564,    836,   1319,   1667,   3360,   3817,   7942,  11049,  11050, 
/* msg =   2296, deg = 10 */    143,    498,    924,   1201,   1603,   3087,   3897,   7323,  11051,  11052, 
/* msg =   2297, deg = 10 */    135,    476,   1062,   1097,   1583,   2660,   4316,   7699,  11052,  11053, 
/* msg =   2298, deg = 10 */    270,    384,    840,   1108,   1560,   3204,   4705,   8382,  11053,  11054, 
/* msg =   2299, deg = 10 */    253,    479,    852,   1233,   1777,   2390,   4806,   7574,  11054,  11055, 
/* msg =   2300, deg = 10 */    237,    502,    918,   1422,   1696,   2081,   5383,   8247,  11055,  11056, 
/* msg =   2301, deg = 10 */     21,    497,    908,   1274,   1560,   3111,   4523,   6962,  11056,  11057, 
/* msg =   2302, deg = 10 */     87,    390,    916,   1232,   1523,   3425,   4178,   6989,  11057,  11058, 
/* msg =   2303, deg = 10 */     20,    479,    938,   1239,   1516,   3580,   5735,   7316,  11058,  11059, 
/* msg =   2304, deg = 10 */    302,    507,    911,   1202,   1572,   1927,   6015,   6879,  11059,  11060, 
/* msg =   2305, deg = 10 */     97,    563,    940,   1395,   1511,   2843,   4549,   8155,  11060,  11061, 
/* msg =   2306, deg = 10 */    133,    483,    898,   1168,   1560,   2764,   5747,   8347,  11061,  11062, 
/* msg =   2307, deg = 10 */    229,    557,   1056,   1220,   1513,   2295,   6082,   6605,  11062,  11063, 
/* msg =   2308, deg = 10 */    204,    568,    879,   1278,   1493,   2076,   4337,   8400,  11063,  11064, 
/* msg =   2309, deg = 10 */     95,    621,   1061,   1396,   1547,   2278,   5070,   6155,  11064,  11065, 
/* msg =   2310, deg = 10 */    114,    489,    864,   1097,   1568,   2663,   3715,   6304,  11065,  11066, 
/* msg =   2311, deg = 10 */     12,    386,    967,   1126,   1498,   2349,   4814,   6271,  11066,  11067, 
/* msg =   2312, deg = 10 */    262,    525,    960,   1229,   1709,   3027,   5349,   7710,  11067,  11068, 
/* msg =   2313, deg = 10 */    275,    601,    991,   1082,   1555,   1916,   4091,   6630,  11068,  11069, 
/* msg =   2314, deg = 10 */     54,    706,    848,   1196,   1572,   3379,   5555,   6717,  11069,  11070, 
/* msg =   2315, deg = 10 */     14,    565,    837,   1320,   1668,   3361,   3818,   7943,  11070,  11071, 
/* msg =   2316, deg = 10 */    144,    499,    925,   1202,   1604,   3088,   3898,   7324,  11072,  11073, 
/* msg =   2317, deg = 10 */    136,    477,   1063,   1098,   1584,   2661,   4317,   7700,  11073,  11074, 
/* msg =   2318, deg = 10 */    271,    385,    841,   1109,   1561,   3205,   4706,   8383,  11074,  11075, 
/* msg =   2319, deg = 10 */    254,    480,    853,   1234,   1778,   2391,   4807,   7575,  11075,  11076, 
/* msg =   2320, deg = 10 */    238,    503,    919,   1423,   1697,   2082,   5384,   8248,  11076,  11077, 
/* msg =   2321, deg = 10 */     22,    498,    909,   1275,   1561,   3112,   4524,   6963,  11077,  11078, 
/* msg =   2322, deg = 10 */     88,    391,    917,   1233,   1524,   3426,   4179,   6990,  11078,  11079, 
/* msg =   2323, deg = 10 */     21,    480,    939,   1240,   1517,   3581,   5736,   7317,  11079,  11080, 
/* msg =   2324, deg = 10 */    303,    508,    912,   1203,   1573,   1928,   6016,   6880,  11080,  11081, 
/* msg =   2325, deg = 10 */     98,    564,    941,   1396,   1512,   2844,   4550,   8156,  11081,  11082, 
/* msg =   2326, deg = 10 */    134,    484,    899,   1169,   1561,   2765,   5748,   8348,  11082,  11083, 
/* msg =   2327, deg = 10 */    230,    558,   1057,   1221,   1514,   2296,   6083,   6606,  11083,  11084, 
/* msg =   2328, deg = 10 */    205,    569,    880,   1279,   1494,   2077,   4338,   8401,  11084,  11085, 
/* msg =   2329, deg = 10 */     96,    622,   1062,   1397,   1548,   2279,   5071,   6156,  11085,  11086, 
/* msg =   2330, deg = 10 */    115,    490,    865,   1098,   1569,   2664,   3716,   6305,  11086,  11087, 
/* msg =   2331, deg = 10 */     13,    387,    968,   1127,   1499,   2350,   4815,   6272,  11087,  11088, 
/* msg =   2332, deg = 10 */    263,    526,    961,   1230,   1710,   3028,   5350,   7711,  11088,  11089, 
/* msg =   2333, deg = 10 */    276,    602,    992,   1083,   1556,   1917,   4092,   6631,  11089,  11090, 
/* msg =   2334, deg = 10 */     55,    707,    849,   1197,   1573,   3380,   5556,   6718,  11090,  11091, 
/* msg =   2335, deg = 10 */     15,    566,    838,   1321,   1669,   3362,   3819,   7944,  11091,  11092, 
/* msg =   2336, deg = 10 */    145,    500,    926,   1203,   1605,   3089,   3899,   7325,  11093,  11094, 
/* msg =   2337, deg = 10 */    137,    478,   1064,   1099,   1585,   2662,   4318,   7701,  11094,  11095, 
/* msg =   2338, deg = 10 */    272,    386,    842,   1110,   1562,   3206,   4707,   8384,  11095,  11096, 
/* msg =   2339, deg = 10 */    255,    481,    854,   1235,   1779,   2392,   4808,   7576,  11096,  11097, 
/* msg =   2340, deg = 10 */    239,    504,    920,   1424,   1698,   2083,   5385,   8249,  11097,  11098, 
/* msg =   2341, deg = 10 */     23,    499,    910,   1276,   1562,   3113,   4525,   6964,  11098,  11099, 
/* msg =   2342, deg = 10 */     89,    392,    918,   1234,   1525,   3427,   4180,   6991,  11099,  11100, 
/* msg =   2343, deg = 10 */     22,    481,    940,   1241,   1518,   3582,   5737,   7318,  11100,  11101, 
/* msg =   2344, deg = 10 */    304,    509,    913,   1204,   1574,   1929,   6017,   6881,  11101,  11102, 
/* msg =   2345, deg = 10 */     99,    565,    942,   1397,   1513,   2845,   4551,   8157,  11102,  11103, 
/* msg =   2346, deg = 10 */    135,    485,    900,   1170,   1562,   2766,   5749,   8349,  11103,  11104, 
/* msg =   2347, deg = 10 */    231,    559,   1058,   1222,   1515,   2297,   6084,   6607,  11104,  11105, 
/* msg =   2348, deg = 10 */    206,    570,    881,   1280,   1495,   2078,   4339,   8402,  11105,  11106, 
/* msg =   2349, deg = 10 */     97,    623,   1063,   1398,   1549,   2280,   5072,   6157,  11106,  11107, 
/* msg =   2350, deg = 10 */    116,    491,    866,   1099,   1570,   2665,   3717,   6306,  11107,  11108, 
/* msg =   2351, deg = 10 */     14,    388,    969,   1128,   1500,   2351,   4816,   6273,  11108,  11109, 
/* msg =   2352, deg = 10 */    264,    527,    962,   1231,   1711,   3029,   5351,   7712,  11109,  11110, 
/* msg =   2353, deg = 10 */    277,    603,    993,   1084,   1557,   1918,   4093,   6632,  11110,  11111, 
/* msg =   2354, deg = 10 */     56,    708,    850,   1198,   1574,   3381,   5557,   6719,  11111,  11112, 
/* msg =   2355, deg = 10 */     16,    567,    839,   1322,   1670,   3363,   3820,   7945,  11112,  11113, 
/* msg =   2356, deg = 10 */    146,    501,    927,   1204,   1606,   3090,   3900,   7326,  11114,  11115, 
/* msg =   2357, deg = 10 */    138,    479,   1065,   1100,   1586,   2663,   4319,   7702,  11115,  11116, 
/* msg =   2358, deg = 10 */    273,    387,    843,   1111,   1563,   3207,   4708,   8385,  11116,  11117, 
/* msg =   2359, deg = 10 */    256,    482,    855,   1236,   1780,   2393,   4809,   7577,  11117,  11118, 
/* msg =   2360, deg = 10 */    240,    505,    921,   1425,   1699,   2084,   5386,   8250,  11118,  11119, 
/* msg =   2361, deg = 10 */     24,    500,    911,   1277,   1563,   3114,   4526,   6965,  11119,  11120, 
/* msg =   2362, deg = 10 */     90,    393,    919,   1235,   1526,   3428,   4181,   6992,  11120,  11121, 
/* msg =   2363, deg = 10 */     23,    482,    941,   1242,   1519,   3583,   5738,   7319,  11121,  11122, 
/* msg =   2364, deg = 10 */    305,    510,    914,   1205,   1575,   1930,   6018,   6882,  11122,  11123, 
/* msg =   2365, deg = 10 */    100,    566,    943,   1398,   1514,   2846,   4552,   8158,  11123,  11124, 
/* msg =   2366, deg = 10 */    136,    486,    901,   1171,   1563,   2767,   5750,   8350,  11124,  11125, 
/* msg =   2367, deg = 10 */    232,    560,   1059,   1223,   1516,   2298,   6085,   6608,  11125,  11126, 
/* msg =   2368, deg = 10 */    207,    571,    882,   1281,   1496,   2079,   4340,   8403,  11126,  11127, 
/* msg =   2369, deg = 10 */     98,    624,   1064,   1399,   1550,   2281,   5073,   6158,  11127,  11128, 
/* msg =   2370, deg = 10 */    117,    492,    867,   1100,   1571,   2666,   3718,   6307,  11128,  11129, 
/* msg =   2371, deg = 10 */     15,    389,    970,   1129,   1501,   2352,   4817,   6274,  11129,  11130, 
/* msg =   2372, deg = 10 */    265,    528,    963,   1232,   1712,   3030,   5352,   7713,  11130,  11131, 
/* msg =   2373, deg = 10 */    278,    604,    994,   1085,   1558,   1919,   4094,   6633,  11131,  11132, 
/* msg =   2374, deg = 10 */     57,    709,    851,   1199,   1575,   3382,   5558,   6720,  11132,  11133, 
/* msg =   2375, deg = 10 */     17,    568,    840,   1323,   1671,   3364,   3821,   7946,  11133,  11134, 
/* msg =   2376, deg = 10 */    147,    502,    928,   1205,   1607,   3091,   3901,   7327,  11135,  11136, 
/* msg =   2377, deg = 10 */    139,    480,   1066,   1101,   1587,   2664,   3960,   7703,  11136,  11137, 
/* msg =   2378, deg = 10 */    274,    388,    844,   1112,   1564,   3208,   4709,   8386,  11137,  11138, 
/* msg =   2379, deg = 10 */    257,    483,    856,   1237,   1781,   2394,   4810,   7578,  11138,  11139, 
/* msg =   2380, deg = 10 */    241,    506,    922,   1426,   1700,   2085,   5387,   8251,  11139,  11140, 
/* msg =   2381, deg = 10 */     25,    501,    912,   1278,   1564,   3115,   4527,   6966,  11140,  11141, 
/* msg =   2382, deg = 10 */     91,    394,    920,   1236,   1527,   3429,   4182,   6993,  11141,  11142, 
/* msg =   2383, deg = 10 */     24,    483,    942,   1243,   1520,   3584,   5739,   7320,  11142,  11143, 
/* msg =   2384, deg = 10 */    306,    511,    915,   1206,   1576,   1931,   6019,   6883,  11143,  11144, 
/* msg =   2385, deg = 10 */    101,    567,    944,   1399,   1515,   2847,   4553,   8159,  11144,  11145, 
/* msg =   2386, deg = 10 */    137,    487,    902,   1172,   1564,   2768,   5751,   8351,  11145,  11146, 
/* msg =   2387, deg = 10 */    233,    561,   1060,   1224,   1517,   2299,   6086,   6609,  11146,  11147, 
/* msg =   2388, deg = 10 */    208,    572,    883,   1282,   1497,   2080,   4341,   8404,  11147,  11148, 
/* msg =   2389, deg = 10 */     99,    625,   1065,   1400,   1551,   2282,   5074,   6159,  11148,  11149, 
/* msg =   2390, deg = 10 */    118,    493,    868,   1101,   1572,   2667,   3719,   6308,  11149,  11150, 
/* msg =   2391, deg = 10 */     16,    390,    971,   1130,   1502,   2353,   4818,   6275,  11150,  11151, 
/* msg =   2392, deg = 10 */    266,    529,    964,   1233,   1713,   3031,   5353,   7714,  11151,  11152, 
/* msg =   2393, deg = 10 */    279,    605,    995,   1086,   1559,   1920,   4095,   6634,  11152,  11153, 
/* msg =   2394, deg = 10 */     58,    710,    852,   1200,   1576,   3383,   5559,   6721,  11153,  11154, 
/* msg =   2395, deg = 10 */     18,    569,    841,   1324,   1672,   3365,   3822,   7947,  11154,  11155, 
/* msg =   2396, deg = 10 */    148,    503,    929,   1206,   1608,   3092,   3902,   7328,  11156,  11157, 
/* msg =   2397, deg = 10 */    140,    481,   1067,   1102,   1588,   2665,   3961,   7704,  11157,  11158, 
/* msg =   2398, deg = 10 */    275,    389,    845,   1113,   1565,   3209,   4710,   8387,  11158,  11159, 
/* msg =   2399, deg = 10 */    258,    484,    857,   1238,   1782,   2395,   4811,   7579,  11159,  11160, 
/* msg =   2400, deg = 10 */    242,    507,    923,   1427,   1701,   2086,   5388,   8252,  11160,  11161, 
/* msg =   2401, deg = 10 */     26,    502,    913,   1279,   1565,   3116,   4528,   6967,  11161,  11162, 
/* msg =   2402, deg = 10 */     92,    395,    921,   1237,   1528,   3430,   4183,   6994,  11162,  11163, 
/* msg =   2403, deg = 10 */     25,    484,    943,   1244,   1521,   3585,   5740,   7321,  11163,  11164, 
/* msg =   2404, deg = 10 */    307,    512,    916,   1207,   1577,   1932,   6020,   6884,  11164,  11165, 
/* msg =   2405, deg = 10 */    102,    568,    945,   1400,   1516,   2848,   4554,   8160,  11165,  11166, 
/* msg =   2406, deg = 10 */    138,    488,    903,   1173,   1565,   2769,   5752,   8352,  11166,  11167, 
/* msg =   2407, deg = 10 */    234,    562,   1061,   1225,   1518,   2300,   6087,   6610,  11167,  11168, 
/* msg =   2408, deg = 10 */    209,    573,    884,   1283,   1498,   2081,   4342,   8405,  11168,  11169, 
/* msg =   2409, deg = 10 */    100,    626,   1066,   1401,   1552,   2283,   5075,   6160,  11169,  11170, 
/* msg =   2410, deg = 10 */    119,    494,    869,   1102,   1573,   2668,   3720,   6309,  11170,  11171, 
/* msg =   2411, deg = 10 */     17,    391,    972,   1131,   1503,   2354,   4819,   6276,  11171,  11172, 
/* msg =   2412, deg = 10 */    267,    530,    965,   1234,   1714,   3032,   5354,   7715,  11172,  11173, 
/* msg =   2413, deg = 10 */    280,    606,    996,   1087,   1560,   1921,   4096,   6635,  11173,  11174, 
/* msg =   2414, deg = 10 */     59,    711,    853,   1201,   1577,   3384,   5560,   6722,  11174,  11175, 
/* msg =   2415, deg = 10 */     19,    570,    842,   1325,   1673,   3366,   3823,   7948,  11175,  11176, 
/* msg =   2416, deg = 10 */    149,    504,    930,   1207,   1609,   3093,   3903,   7329,  11177,  11178, 
/* msg =   2417, deg = 10 */    141,    482,   1068,   1103,   1589,   2666,   3962,   7705,  11178,  11179, 
/* msg =   2418, deg = 10 */    276,    390,    846,   1114,   1566,   3210,   4711,   8388,  11179,  11180, 
/* msg =   2419, deg = 10 */    259,    485,    858,   1239,   1783,   2396,   4812,   7580,  11180,  11181, 
/* msg =   2420, deg = 10 */    243,    508,    924,   1428,   1702,   2087,   5389,   8253,  11181,  11182, 
/* msg =   2421, deg = 10 */     27,    503,    914,   1280,   1566,   3117,   4529,   6968,  11182,  11183, 
/* msg =   2422, deg = 10 */     93,    396,    922,   1238,   1529,   3431,   4184,   6995,  11183,  11184, 
/* msg =   2423, deg = 10 */     26,    485,    944,   1245,   1522,   3586,   5741,   7322,  11184,  11185, 
/* msg =   2424, deg = 10 */    308,    513,    917,   1208,   1578,   1933,   6021,   6885,  11185,  11186, 
/* msg =   2425, deg = 10 */    103,    569,    946,   1401,   1517,   2849,   4555,   8161,  11186,  11187, 
/* msg =   2426, deg = 10 */    139,    489,    904,   1174,   1566,   2770,   5753,   8353,  11187,  11188, 
/* msg =   2427, deg = 10 */    235,    563,   1062,   1226,   1519,   2301,   6088,   6611,  11188,  11189, 
/* msg =   2428, deg = 10 */    210,    574,    885,   1284,   1499,   2082,   4343,   8406,  11189,  11190, 
/* msg =   2429, deg = 10 */    101,    627,   1067,   1402,   1553,   2284,   5076,   6161,  11190,  11191, 
/* msg =   2430, deg = 10 */    120,    495,    870,   1103,   1574,   2669,   3721,   6310,  11191,  11192, 
/* msg =   2431, deg = 10 */     18,    392,    973,   1132,   1504,   2355,   4820,   6277,  11192,  11193, 
/* msg =   2432, deg = 10 */    268,    531,    966,   1235,   1715,   3033,   5355,   7716,  11193,  11194, 
/* msg =   2433, deg = 10 */    281,    607,    997,   1088,   1561,   1922,   4097,   6636,  11194,  11195, 
/* msg =   2434, deg = 10 */     60,    712,    854,   1202,   1578,   3385,   5561,   6723,  11195,  11196, 
/* msg =   2435, deg = 10 */     20,    571,    843,   1326,   1674,   3367,   3824,   7949,  11196,  11197, 
/* msg =   2436, deg = 10 */    150,    505,    931,   1208,   1610,   3094,   3904,   7330,  11198,  11199, 
/* msg =   2437, deg = 10 */    142,    483,   1069,   1104,   1590,   2667,   3963,   7706,  11199,  11200, 
/* msg =   2438, deg = 10 */    277,    391,    847,   1115,   1567,   3211,   4712,   8389,  11200,  11201, 
/* msg =   2439, deg = 10 */    260,    486,    859,   1240,   1784,   2397,   4813,   7581,  11201,  11202, 
/* msg =   2440, deg = 10 */    244,    509,    925,   1429,   1703,   2088,   5390,   8254,  11202,  11203, 
/* msg =   2441, deg = 10 */     28,    504,    915,   1281,   1567,   3118,   4530,   6969,  11203,  11204, 
/* msg =   2442, deg = 10 */     94,    397,    923,   1239,   1530,   3432,   4185,   6996,  11204,  11205, 
/* msg =   2443, deg = 10 */     27,    486,    945,   1246,   1523,   3587,   5742,   7323,  11205,  11206, 
/* msg =   2444, deg = 10 */    309,    514,    918,   1209,   1579,   1934,   6022,   6886,  11206,  11207, 
/* msg =   2445, deg = 10 */    104,    570,    947,   1402,   1518,   2850,   4556,   8162,  11207,  11208, 
/* msg =   2446, deg = 10 */    140,    490,    905,   1175,   1567,   2771,   5754,   8354,  11208,  11209, 
/* msg =   2447, deg = 10 */    236,    564,   1063,   1227,   1520,   2302,   6089,   6612,  11209,  11210, 
/* msg =   2448, deg = 10 */    211,    575,    886,   1285,   1500,   2083,   4344,   8407,  11210,  11211, 
/* msg =   2449, deg = 10 */    102,    628,   1068,   1403,   1554,   2285,   5077,   6162,  11211,  11212, 
/* msg =   2450, deg = 10 */    121,    496,    871,   1104,   1575,   2670,   3722,   6311,  11212,  11213, 
/* msg =   2451, deg = 10 */     19,    393,    974,   1133,   1505,   2356,   4821,   6278,  11213,  11214, 
/* msg =   2452, deg = 10 */    269,    532,    967,   1236,   1716,   3034,   5356,   7717,  11214,  11215, 
/* msg =   2453, deg = 10 */    282,    608,    998,   1089,   1562,   1923,   4098,   6637,  11215,  11216, 
/* msg =   2454, deg = 10 */     61,    713,    855,   1203,   1579,   3386,   5562,   6724,  11216,  11217, 
/* msg =   2455, deg = 10 */     21,    572,    844,   1327,   1675,   3368,   3825,   7950,  11217,  11218, 
/* msg =   2456, deg = 10 */    151,    506,    932,   1209,   1611,   3095,   3905,   7331,  11219,  11220, 
/* msg =   2457, deg = 10 */    143,    484,   1070,   1105,   1591,   2668,   3964,   7707,  11220,  11221, 
/* msg =   2458, deg = 10 */    278,    392,    848,   1116,   1568,   3212,   4713,   8390,  11221,  11222, 
/* msg =   2459, deg = 10 */    261,    487,    860,   1241,   1785,   2398,   4814,   7582,  11222,  11223, 
/* msg =   2460, deg = 10 */    245,    510,    926,   1430,   1704,   2089,   5391,   8255,  11223,  11224, 
/* msg =   2461, deg = 10 */     29,    505,    916,   1282,   1568,   3119,   4531,   6970,  11224,  11225, 
/* msg =   2462, deg = 10 */     95,    398,    924,   1240,   1531,   3433,   4186,   6997,  11225,  11226, 
/* msg =   2463, deg = 10 */     28,    487,    946,   1247,   1524,   3588,   5743,   7324,  11226,  11227, 
/* msg =   2464, deg = 10 */    310,    515,    919,   1210,   1580,   1935,   6023,   6887,  11227,  11228, 
/* msg =   2465, deg = 10 */    105,    571,    948,   1403,   1519,   2851,   4557,   8163,  11228,  11229, 
/* msg =   2466, deg = 10 */    141,    491,    906,   1176,   1568,   2772,   5755,   8355,  11229,  11230, 
/* msg =   2467, deg = 10 */    237,    565,   1064,   1228,   1521,   2303,   6090,   6613,  11230,  11231, 
/* msg =   2468, deg = 10 */    212,    576,    887,   1286,   1501,   2084,   4345,   8408,  11231,  11232, 
/* msg =   2469, deg = 10 */    103,    629,   1069,   1404,   1555,   2286,   5078,   6163,  11232,  11233, 
/* msg =   2470, deg = 10 */    122,    497,    872,   1105,   1576,   2671,   3723,   6312,  11233,  11234, 
/* msg =   2471, deg = 10 */     20,    394,    975,   1134,   1506,   2357,   4822,   6279,  11234,  11235, 
/* msg =   2472, deg = 10 */    270,    533,    968,   1237,   1717,   3035,   5357,   7718,  11235,  11236, 
/* msg =   2473, deg = 10 */    283,    609,    999,   1090,   1563,   1924,   4099,   6638,  11236,  11237, 
/* msg =   2474, deg = 10 */     62,    714,    856,   1204,   1580,   3387,   5563,   6725,  11237,  11238, 
/* msg =   2475, deg = 10 */     22,    573,    845,   1328,   1676,   3369,   3826,   7951,  11238,  11239, 
/* msg =   2476, deg = 10 */    152,    507,    933,   1210,   1612,   3096,   3906,   7332,  11240,  11241, 
/* msg =   2477, deg = 10 */    144,    485,   1071,   1106,   1592,   2669,   3965,   7708,  11241,  11242, 
/* msg =   2478, deg = 10 */    279,    393,    849,   1117,   1569,   3213,   4714,   8391,  11242,  11243, 
/* msg =   2479, deg = 10 */    262,    488,    861,   1242,   1786,   2399,   4815,   7583,  11243,  11244, 
/* msg =   2480, deg = 10 */    246,    511,    927,   1431,   1705,   2090,   5392,   8256,  11244,  11245, 
/* msg =   2481, deg = 10 */     30,    506,    917,   1283,   1569,   3120,   4532,   6971,  11245,  11246, 
/* msg =   2482, deg = 10 */     96,    399,    925,   1241,   1532,   3434,   4187,   6998,  11246,  11247, 
/* msg =   2483, deg = 10 */     29,    488,    947,   1248,   1525,   3589,   5744,   7325,  11247,  11248, 
/* msg =   2484, deg = 10 */    311,    516,    920,   1211,   1581,   1936,   6024,   6888,  11248,  11249, 
/* msg =   2485, deg = 10 */    106,    572,    949,   1404,   1520,   2852,   4558,   8164,  11249,  11250, 
/* msg =   2486, deg = 10 */    142,    492,    907,   1177,   1569,   2773,   5756,   8356,  11250,  11251, 
/* msg =   2487, deg = 10 */    238,    566,   1065,   1229,   1522,   2304,   6091,   6614,  11251,  11252, 
/* msg =   2488, deg = 10 */    213,    577,    888,   1287,   1502,   2085,   4346,   8409,  11252,  11253, 
/* msg =   2489, deg = 10 */    104,    630,   1070,   1405,   1556,   2287,   5079,   6164,  11253,  11254, 
/* msg =   2490, deg = 10 */    123,    498,    873,   1106,   1577,   2672,   3724,   6313,  11254,  11255, 
/* msg =   2491, deg = 10 */     21,    395,    976,   1135,   1507,   2358,   4823,   6280,  11255,  11256, 
/* msg =   2492, deg = 10 */    271,    534,    969,   1238,   1718,   3036,   5358,   7719,  11256,  11257, 
/* msg =   2493, deg = 10 */    284,    610,   1000,   1091,   1564,   1925,   4100,   6639,  11257,  11258, 
/* msg =   2494, deg = 10 */     63,    715,    857,   1205,   1581,   3388,   5564,   6726,  11258,  11259, 
/* msg =   2495, deg = 10 */     23,    574,    846,   1329,   1677,   3370,   3827,   7952,  11259,  11260, 
/* msg =   2496, deg = 10 */    153,    508,    934,   1211,   1613,   3097,   3907,   7333,  11261,  11262, 
/* msg =   2497, deg = 10 */    145,    486,   1072,   1107,   1593,   2670,   3966,   7709,  11262,  11263, 
/* msg =   2498, deg = 10 */    280,    394,    850,   1118,   1570,   3214,   4715,   8392,  11263,  11264, 
/* msg =   2499, deg = 10 */    263,    489,    862,   1243,   1787,   2400,   4816,   7584,  11264,  11265, 
/* msg =   2500, deg = 10 */    247,    512,    928,   1432,   1706,   2091,   5393,   8257,  11265,  11266, 
/* msg =   2501, deg = 10 */     31,    507,    918,   1284,   1570,   3121,   4533,   6972,  11266,  11267, 
/* msg =   2502, deg = 10 */     97,    400,    926,   1242,   1533,   3435,   4188,   6999,  11267,  11268, 
/* msg =   2503, deg = 10 */     30,    489,    948,   1249,   1526,   3590,   5745,   7326,  11268,  11269, 
/* msg =   2504, deg = 10 */    312,    517,    921,   1212,   1582,   1937,   6025,   6889,  11269,  11270, 
/* msg =   2505, deg = 10 */    107,    573,    950,   1405,   1521,   2853,   4559,   8165,  11270,  11271, 
/* msg =   2506, deg = 10 */    143,    493,    908,   1178,   1570,   2774,   5757,   8357,  11271,  11272, 
/* msg =   2507, deg = 10 */    239,    567,   1066,   1230,   1523,   2305,   6092,   6615,  11272,  11273, 
/* msg =   2508, deg = 10 */    214,    578,    889,   1288,   1503,   2086,   4347,   8410,  11273,  11274, 
/* msg =   2509, deg = 10 */    105,    631,   1071,   1406,   1557,   2288,   5080,   6165,  11274,  11275, 
/* msg =   2510, deg = 10 */    124,    499,    874,   1107,   1578,   2673,   3725,   6314,  11275,  11276, 
/* msg =   2511, deg = 10 */     22,    396,    977,   1136,   1508,   2359,   4824,   6281,  11276,  11277, 
/* msg =   2512, deg = 10 */    272,    535,    970,   1239,   1719,   3037,   5359,   7720,  11277,  11278, 
/* msg =   2513, deg = 10 */    285,    611,   1001,   1092,   1565,   1926,   4101,   6640,  11278,  11279, 
/* msg =   2514, deg = 10 */     64,    716,    858,   1206,   1582,   3389,   5565,   6727,  11279,  11280, 
/* msg =   2515, deg = 10 */     24,    575,    847,   1330,   1678,   3371,   3828,   7953,  11280,  11281, 
/* msg =   2516, deg = 10 */    154,    509,    935,   1212,   1614,   3098,   3908,   7334,  11282,  11283, 
/* msg =   2517, deg = 10 */    146,    487,   1073,   1108,   1594,   2671,   3967,   7710,  11283,  11284, 
/* msg =   2518, deg = 10 */    281,    395,    851,   1119,   1571,   3215,   4716,   8393,  11284,  11285, 
/* msg =   2519, deg = 10 */    264,    490,    863,   1244,   1788,   2401,   4817,   7585,  11285,  11286, 
/* msg =   2520, deg = 10 */    248,    513,    929,   1433,   1707,   2092,   5394,   8258,  11286,  11287, 
/* msg =   2521, deg = 10 */     32,    508,    919,   1285,   1571,   3122,   4534,   6973,  11287,  11288, 
/* msg =   2522, deg = 10 */     98,    401,    927,   1243,   1534,   3436,   4189,   7000,  11288,  11289, 
/* msg =   2523, deg = 10 */     31,    490,    949,   1250,   1527,   3591,   5746,   7327,  11289,  11290, 
/* msg =   2524, deg = 10 */    313,    518,    922,   1213,   1583,   1938,   6026,   6890,  11290,  11291, 
/* msg =   2525, deg = 10 */    108,    574,    951,   1406,   1522,   2854,   4560,   8166,  11291,  11292, 
/* msg =   2526, deg = 10 */    144,    494,    909,   1179,   1571,   2775,   5758,   8358,  11292,  11293, 
/* msg =   2527, deg = 10 */    240,    568,   1067,   1231,   1524,   2306,   6093,   6616,  11293,  11294, 
/* msg =   2528, deg = 10 */    215,    579,    890,   1289,   1504,   2087,   4348,   8411,  11294,  11295, 
/* msg =   2529, deg = 10 */    106,    632,   1072,   1407,   1558,   2289,   5081,   6166,  11295,  11296, 
/* msg =   2530, deg = 10 */    125,    500,    875,   1108,   1579,   2674,   3726,   6315,  11296,  11297, 
/* msg =   2531, deg = 10 */     23,    397,    978,   1137,   1509,   2360,   4825,   6282,  11297,  11298, 
/* msg =   2532, deg = 10 */    273,    536,    971,   1240,   1720,   3038,   5360,   7721,  11298,  11299, 
/* msg =   2533, deg = 10 */    286,    612,   1002,   1093,   1566,   1927,   4102,   6641,  11299,  11300, 
/* msg =   2534, deg = 10 */     65,    717,    859,   1207,   1583,   3390,   5566,   6728,  11300,  11301, 
/* msg =   2535, deg = 10 */     25,    576,    848,   1331,   1679,   3372,   3829,   7954,  11301,  11302, 
/* msg =   2536, deg = 10 */    155,    510,    936,   1213,   1615,   3099,   3909,   7335,  11303,  11304, 
/* msg =   2537, deg = 10 */    147,    488,   1074,   1109,   1595,   2672,   3968,   7711,  11304,  11305, 
/* msg =   2538, deg = 10 */    282,    396,    852,   1120,   1572,   3216,   4717,   8394,  11305,  11306, 
/* msg =   2539, deg = 10 */    265,    491,    864,   1245,   1789,   2402,   4818,   7586,  11306,  11307, 
/* msg =   2540, deg = 10 */    249,    514,    930,   1434,   1708,   2093,   5395,   8259,  11307,  11308, 
/* msg =   2541, deg = 10 */     33,    509,    920,   1286,   1572,   3123,   4535,   6974,  11308,  11309, 
/* msg =   2542, deg = 10 */     99,    402,    928,   1244,   1535,   3437,   4190,   7001,  11309,  11310, 
/* msg =   2543, deg = 10 */     32,    491,    950,   1251,   1528,   3592,   5747,   7328,  11310,  11311, 
/* msg =   2544, deg = 10 */    314,    519,    923,   1214,   1584,   1939,   6027,   6891,  11311,  11312, 
/* msg =   2545, deg = 10 */    109,    575,    952,   1407,   1523,   2855,   4561,   8167,  11312,  11313, 
/* msg =   2546, deg = 10 */    145,    495,    910,   1180,   1572,   2776,   5759,   8359,  11313,  11314, 
/* msg =   2547, deg = 10 */    241,    569,   1068,   1232,   1525,   2307,   6094,   6617,  11314,  11315, 
/* msg =   2548, deg = 10 */    216,    580,    891,   1290,   1505,   2088,   4349,   8412,  11315,  11316, 
/* msg =   2549, deg = 10 */    107,    633,   1073,   1408,   1559,   2290,   5082,   6167,  11316,  11317, 
/* msg =   2550, deg = 10 */    126,    501,    876,   1109,   1580,   2675,   3727,   6316,  11317,  11318, 
/* msg =   2551, deg = 10 */     24,    398,    979,   1138,   1510,   2361,   4826,   6283,  11318,  11319, 
/* msg =   2552, deg = 10 */    274,    537,    972,   1241,   1721,   3039,   5361,   7722,  11319,  11320, 
/* msg =   2553, deg = 10 */    287,    613,   1003,   1094,   1567,   1928,   4103,   6642,  11320,  11321, 
/* msg =   2554, deg = 10 */     66,    718,    860,   1208,   1584,   3391,   5567,   6729,  11321,  11322, 
/* msg =   2555, deg = 10 */     26,    577,    849,   1332,   1680,   3373,   3830,   7955,  11322,  11323, 
/* msg =   2556, deg = 10 */    156,    511,    937,   1214,   1616,   3100,   3910,   7336,  11324,  11325, 
/* msg =   2557, deg = 10 */    148,    489,   1075,   1110,   1596,   2673,   3969,   7712,  11325,  11326, 
/* msg =   2558, deg = 10 */    283,    397,    853,   1121,   1573,   3217,   4718,   8395,  11326,  11327, 
/* msg =   2559, deg = 10 */    266,    492,    865,   1246,   1790,   2403,   4819,   7587,  11327,  11328, 
/* msg =   2560, deg = 10 */    250,    515,    931,   1435,   1709,   2094,   5396,   8260,  11328,  11329, 
/* msg =   2561, deg = 10 */     34,    510,    921,   1287,   1573,   3124,   4536,   6975,  11329,  11330, 
/* msg =   2562, deg = 10 */    100,    403,    929,   1245,   1536,   3438,   4191,   7002,  11330,  11331, 
/* msg =   2563, deg = 10 */     33,    492,    951,   1252,   1529,   3593,   5748,   7329,  11331,  11332, 
/* msg =   2564, deg = 10 */    315,    520,    924,   1215,   1585,   1940,   6028,   6892,  11332,  11333, 
/* msg =   2565, deg = 10 */    110,    576,    953,   1408,   1524,   2856,   4562,   8168,  11333,  11334, 
/* msg =   2566, deg = 10 */    146,    496,    911,   1181,   1573,   2777,   5400,   8360,  11334,  11335, 
/* msg =   2567, deg = 10 */    242,    570,   1069,   1233,   1526,   2308,   6095,   6618,  11335,  11336, 
/* msg =   2568, deg = 10 */    217,    581,    892,   1291,   1506,   2089,   4350,   8413,  11336,  11337, 
/* msg =   2569, deg = 10 */    108,    634,   1074,   1409,   1560,   2291,   5083,   6168,  11337,  11338, 
/* msg =   2570, deg = 10 */    127,    502,    877,   1110,   1581,   2676,   3728,   6317,  11338,  11339, 
/* msg =   2571, deg = 10 */     25,    399,    980,   1139,   1511,   2362,   4827,   6284,  11339,  11340, 
/* msg =   2572, deg = 10 */    275,    538,    973,   1242,   1722,   3040,   5362,   7723,  11340,  11341, 
/* msg =   2573, deg = 10 */    288,    614,   1004,   1095,   1568,   1929,   4104,   6643,  11341,  11342, 
/* msg =   2574, deg = 10 */     67,    719,    861,   1209,   1585,   3392,   5568,   6730,  11342,  11343, 
/* msg =   2575, deg = 10 */     27,    578,    850,   1333,   1681,   3374,   3831,   7956,  11343,  11344, 
/* msg =   2576, deg = 10 */    157,    512,    938,   1215,   1617,   3101,   3911,   7337,  11345,  11346, 
/* msg =   2577, deg = 10 */    149,    490,   1076,   1111,   1597,   2674,   3970,   7713,  11346,  11347, 
/* msg =   2578, deg = 10 */    284,    398,    854,   1122,   1574,   3218,   4719,   8396,  11347,  11348, 
/* msg =   2579, deg = 10 */    267,    493,    866,   1247,   1791,   2404,   4820,   7588,  11348,  11349, 
/* msg =   2580, deg = 10 */    251,    516,    932,   1436,   1710,   2095,   5397,   8261,  11349,  11350, 
/* msg =   2581, deg = 10 */     35,    511,    922,   1288,   1574,   3125,   4537,   6976,  11350,  11351, 
/* msg =   2582, deg = 10 */    101,    404,    930,   1246,   1537,   3439,   4192,   7003,  11351,  11352, 
/* msg =   2583, deg = 10 */     34,    493,    952,   1253,   1530,   3594,   5749,   7330,  11352,  11353, 
/* msg =   2584, deg = 10 */    316,    521,    925,   1216,   1586,   1941,   6029,   6893,  11353,  11354, 
/* msg =   2585, deg = 10 */    111,    577,    954,   1409,   1525,   2857,   4563,   8169,  11354,  11355, 
/* msg =   2586, deg = 10 */    147,    497,    912,   1182,   1574,   2778,   5401,   8361,  11355,  11356, 
/* msg =   2587, deg = 10 */    243,    571,   1070,   1234,   1527,   2309,   6096,   6619,  11356,  11357, 
/* msg =   2588, deg = 10 */    218,    582,    893,   1292,   1507,   2090,   4351,   8414,  11357,  11358, 
/* msg =   2589, deg = 10 */    109,    635,   1075,   1410,   1561,   2292,   5084,   6169,  11358,  11359, 
/* msg =   2590, deg = 10 */    128,    503,    878,   1111,   1582,   2677,   3729,   6318,  11359,  11360, 
/* msg =   2591, deg = 10 */     26,    400,    981,   1140,   1512,   2363,   4828,   6285,  11360,  11361, 
/* msg =   2592, deg = 10 */    276,    539,    974,   1243,   1723,   3041,   5363,   7724,  11361,  11362, 
/* msg =   2593, deg = 10 */    289,    615,   1005,   1096,   1569,   1930,   4105,   6644,  11362,  11363, 
/* msg =   2594, deg = 10 */     68,    360,    862,   1210,   1586,   3393,   5569,   6731,  11363,  11364, 
/* msg =   2595, deg = 10 */     28,    579,    851,   1334,   1682,   3375,   3832,   7957,  11364,  11365, 
/* msg =   2596, deg = 10 */    158,    513,    939,   1216,   1618,   3102,   3912,   7338,  11366,  11367, 
/* msg =   2597, deg = 10 */    150,    491,   1077,   1112,   1598,   2675,   3971,   7714,  11367,  11368, 
/* msg =   2598, deg = 10 */    285,    399,    855,   1123,   1575,   3219,   4720,   8397,  11368,  11369, 
/* msg =   2599, deg = 10 */    268,    494,    867,   1248,   1792,   2405,   4821,   7589,  11369,  11370, 
/* msg =   2600, deg = 10 */    252,    517,    933,   1437,   1711,   2096,   5398,   8262,  11370,  11371, 
/* msg =   2601, deg = 10 */     36,    512,    923,   1289,   1575,   3126,   4538,   6977,  11371,  11372, 
/* msg =   2602, deg = 10 */    102,    405,    931,   1247,   1538,   3440,   4193,   7004,  11372,  11373, 
/* msg =   2603, deg = 10 */     35,    494,    953,   1254,   1531,   3595,   5750,   7331,  11373,  11374, 
/* msg =   2604, deg = 10 */    317,    522,    926,   1217,   1587,   1942,   6030,   6894,  11374,  11375, 
/* msg =   2605, deg = 10 */    112,    578,    955,   1410,   1526,   2858,   4564,   8170,  11375,  11376, 
/* msg =   2606, deg = 10 */    148,    498,    913,   1183,   1575,   2779,   5402,   8362,  11376,  11377, 
/* msg =   2607, deg = 10 */    244,    572,   1071,   1235,   1528,   2310,   6097,   6620,  11377,  11378, 
/* msg =   2608, deg = 10 */    219,    583,    894,   1293,   1508,   2091,   4352,   8415,  11378,  11379, 
/* msg =   2609, deg = 10 */    110,    636,   1076,   1411,   1562,   2293,   5085,   6170,  11379,  11380, 
/* msg =   2610, deg = 10 */    129,    504,    879,   1112,   1583,   2678,   3730,   6319,  11380,  11381, 
/* msg =   2611, deg = 10 */     27,    401,    982,   1141,   1513,   2364,   4829,   6286,  11381,  11382, 
/* msg =   2612, deg = 10 */    277,    540,    975,   1244,   1724,   3042,   5364,   7725,  11382,  11383, 
/* msg =   2613, deg = 10 */    290,    616,   1006,   1097,   1570,   1931,   4106,   6645,  11383,  11384, 
/* msg =   2614, deg = 10 */     69,    361,    863,   1211,   1587,   3394,   5570,   6732,  11384,  11385, 
/* msg =   2615, deg = 10 */     29,    580,    852,   1335,   1683,   3376,   3833,   7958,  11385,  11386, 
/* msg =   2616, deg = 10 */    159,    514,    940,   1217,   1619,   3103,   3913,   7339,  11387,  11388, 
/* msg =   2617, deg = 10 */    151,    492,   1078,   1113,   1599,   2676,   3972,   7715,  11388,  11389, 
/* msg =   2618, deg = 10 */    286,    400,    856,   1124,   1576,   3220,   4721,   8398,  11389,  11390, 
/* msg =   2619, deg = 10 */    269,    495,    868,   1249,   1793,   2406,   4822,   7590,  11390,  11391, 
/* msg =   2620, deg = 10 */    253,    518,    934,   1438,   1712,   2097,   5399,   8263,  11391,  11392, 
/* msg =   2621, deg = 10 */     37,    513,    924,   1290,   1576,   3127,   4539,   6978,  11392,  11393, 
/* msg =   2622, deg = 10 */    103,    406,    932,   1248,   1539,   3441,   4194,   7005,  11393,  11394, 
/* msg =   2623, deg = 10 */     36,    495,    954,   1255,   1532,   3596,   5751,   7332,  11394,  11395, 
/* msg =   2624, deg = 10 */    318,    523,    927,   1218,   1588,   1943,   6031,   6895,  11395,  11396, 
/* msg =   2625, deg = 10 */    113,    579,    956,   1411,   1527,   2859,   4565,   8171,  11396,  11397, 
/* msg =   2626, deg = 10 */    149,    499,    914,   1184,   1576,   2780,   5403,   8363,  11397,  11398, 
/* msg =   2627, deg = 10 */    245,    573,   1072,   1236,   1529,   2311,   6098,   6621,  11398,  11399, 
/* msg =   2628, deg = 10 */    220,    584,    895,   1294,   1509,   2092,   4353,   8416,  11399,  11400, 
/* msg =   2629, deg = 10 */    111,    637,   1077,   1412,   1563,   2294,   5086,   6171,  11400,  11401, 
/* msg =   2630, deg = 10 */    130,    505,    880,   1113,   1584,   2679,   3731,   6320,  11401,  11402, 
/* msg =   2631, deg = 10 */     28,    402,    983,   1142,   1514,   2365,   4830,   6287,  11402,  11403, 
/* msg =   2632, deg = 10 */    278,    541,    976,   1245,   1725,   3043,   5365,   7726,  11403,  11404, 
/* msg =   2633, deg = 10 */    291,    617,   1007,   1098,   1571,   1932,   4107,   6646,  11404,  11405, 
/* msg =   2634, deg = 10 */     70,    362,    864,   1212,   1588,   3395,   5571,   6733,  11405,  11406, 
/* msg =   2635, deg = 10 */     30,    581,    853,   1336,   1684,   3377,   3834,   7959,  11406,  11407, 
/* msg =   2636, deg = 10 */    160,    515,    941,   1218,   1620,   3104,   3914,   7340,  11408,  11409, 
/* msg =   2637, deg = 10 */    152,    493,   1079,   1114,   1600,   2677,   3973,   7716,  11409,  11410, 
/* msg =   2638, deg = 10 */    287,    401,    857,   1125,   1577,   3221,   4722,   8399,  11410,  11411, 
/* msg =   2639, deg = 10 */    270,    496,    869,   1250,   1794,   2407,   4823,   7591,  11411,  11412, 
/* msg =   2640, deg = 10 */    254,    519,    935,   1439,   1713,   2098,   5040,   8264,  11412,  11413, 
/* msg =   2641, deg = 10 */     38,    514,    925,   1291,   1577,   3128,   4540,   6979,  11413,  11414, 
/* msg =   2642, deg = 10 */    104,    407,    933,   1249,   1540,   3442,   4195,   7006,  11414,  11415, 
/* msg =   2643, deg = 10 */     37,    496,    955,   1256,   1533,   3597,   5752,   7333,  11415,  11416, 
/* msg =   2644, deg = 10 */    319,    524,    928,   1219,   1589,   1944,   6032,   6896,  11416,  11417, 
/* msg =   2645, deg = 10 */    114,    580,    957,   1412,   1528,   2860,   4566,   8172,  11417,  11418, 
/* msg =   2646, deg = 10 */    150,    500,    915,   1185,   1577,   2781,   5404,   8364,  11418,  11419, 
/* msg =   2647, deg = 10 */    246,    574,   1073,   1237,   1530,   2312,   6099,   6622,  11419,  11420, 
/* msg =   2648, deg = 10 */    221,    585,    896,   1295,   1510,   2093,   4354,   8417,  11420,  11421, 
/* msg =   2649, deg = 10 */    112,    638,   1078,   1413,   1564,   2295,   5087,   6172,  11421,  11422, 
/* msg =   2650, deg = 10 */    131,    506,    881,   1114,   1585,   2680,   3732,   6321,  11422,  11423, 
/* msg =   2651, deg = 10 */     29,    403,    984,   1143,   1515,   2366,   4831,   6288,  11423,  11424, 
/* msg =   2652, deg = 10 */    279,    542,    977,   1246,   1726,   3044,   5366,   7727,  11424,  11425, 
/* msg =   2653, deg = 10 */    292,    618,   1008,   1099,   1572,   1933,   4108,   6647,  11425,  11426, 
/* msg =   2654, deg = 10 */     71,    363,    865,   1213,   1589,   3396,   5572,   6734,  11426,  11427, 
/* msg =   2655, deg = 10 */     31,    582,    854,   1337,   1685,   3378,   3835,   7960,  11427,  11428, 
/* msg =   2656, deg = 10 */    161,    516,    942,   1219,   1621,   3105,   3915,   7341,  11429,  11430, 
/* msg =   2657, deg = 10 */    153,    494,    720,   1115,   1601,   2678,   3974,   7717,  11430,  11431, 
/* msg =   2658, deg = 10 */    288,    402,    858,   1126,   1578,   3222,   4723,   8400,  11431,  11432, 
/* msg =   2659, deg = 10 */    271,    497,    870,   1251,   1795,   2408,   4824,   7592,  11432,  11433, 
/* msg =   2660, deg = 10 */    255,    520,    936,   1080,   1714,   2099,   5041,   8265,  11433,  11434, 
/* msg =   2661, deg = 10 */     39,    515,    926,   1292,   1578,   3129,   4541,   6980,  11434,  11435, 
/* msg =   2662, deg = 10 */    105,    408,    934,   1250,   1541,   3443,   4196,   7007,  11435,  11436, 
/* msg =   2663, deg = 10 */     38,    497,    956,   1257,   1534,   3598,   5753,   7334,  11436,  11437, 
/* msg =   2664, deg = 10 */    320,    525,    929,   1220,   1590,   1945,   6033,   6897,  11437,  11438, 
/* msg =   2665, deg = 10 */    115,    581,    958,   1413,   1529,   2861,   4567,   8173,  11438,  11439, 
/* msg =   2666, deg = 10 */    151,    501,    916,   1186,   1578,   2782,   5405,   8365,  11439,  11440, 
/* msg =   2667, deg = 10 */    247,    575,   1074,   1238,   1531,   2313,   6100,   6623,  11440,  11441, 
/* msg =   2668, deg = 10 */    222,    586,    897,   1296,   1511,   2094,   4355,   8418,  11441,  11442, 
/* msg =   2669, deg = 10 */    113,    639,   1079,   1414,   1565,   2296,   5088,   6173,  11442,  11443, 
/* msg =   2670, deg = 10 */    132,    507,    882,   1115,   1586,   2681,   3733,   6322,  11443,  11444, 
/* msg =   2671, deg = 10 */     30,    404,    985,   1144,   1516,   2367,   4832,   6289,  11444,  11445, 
/* msg =   2672, deg = 10 */    280,    543,    978,   1247,   1727,   3045,   5367,   7728,  11445,  11446, 
/* msg =   2673, deg = 10 */    293,    619,   1009,   1100,   1573,   1934,   4109,   6648,  11446,  11447, 
/* msg =   2674, deg = 10 */     72,    364,    866,   1214,   1590,   3397,   5573,   6735,  11447,  11448, 
/* msg =   2675, deg = 10 */     32,    583,    855,   1338,   1686,   3379,   3836,   7961,  11448,  11449, 
/* msg =   2676, deg = 10 */    162,    517,    943,   1220,   1622,   3106,   3916,   7342,  11450,  11451, 
/* msg =   2677, deg = 10 */    154,    495,    721,   1116,   1602,   2679,   3975,   7718,  11451,  11452, 
/* msg =   2678, deg = 10 */    289,    403,    859,   1127,   1579,   3223,   4724,   8401,  11452,  11453, 
/* msg =   2679, deg = 10 */    272,    498,    871,   1252,   1796,   2409,   4825,   7593,  11453,  11454, 
/* msg =   2680, deg = 10 */    256,    521,    937,   1081,   1715,   2100,   5042,   8266,  11454,  11455, 
/* msg =   2681, deg = 10 */     40,    516,    927,   1293,   1579,   3130,   4542,   6981,  11455,  11456, 
/* msg =   2682, deg = 10 */    106,    409,    935,   1251,   1542,   3444,   4197,   7008,  11456,  11457, 
/* msg =   2683, deg = 10 */     39,    498,    957,   1258,   1535,   3599,   5754,   7335,  11457,  11458, 
/* msg =   2684, deg = 10 */    321,    526,    930,   1221,   1591,   1946,   6034,   6898,  11458,  11459, 
/* msg =   2685, deg = 10 */    116,    582,    959,   1414,   1530,   2862,   4568,   8174,  11459,  11460, 
/* msg =   2686, deg = 10 */    152,    502,    917,   1187,   1579,   2783,   5406,   8366,  11460,  11461, 
/* msg =   2687, deg = 10 */    248,    576,   1075,   1239,   1532,   2314,   6101,   6624,  11461,  11462, 
/* msg =   2688, deg = 10 */    223,    587,    898,   1297,   1512,   2095,   4356,   8419,  11462,  11463, 
/* msg =   2689, deg = 10 */    114,    640,    720,   1415,   1566,   2297,   5089,   6174,  11463,  11464, 
/* msg =   2690, deg = 10 */    133,    508,    883,   1116,   1587,   2682,   3734,   6323,  11464,  11465, 
/* msg =   2691, deg = 10 */     31,    405,    986,   1145,   1517,   2368,   4833,   6290,  11465,  11466, 
/* msg =   2692, deg = 10 */    281,    544,    979,   1248,   1728,   3046,   5368,   7729,  11466,  11467, 
/* msg =   2693, deg = 10 */    294,    620,   1010,   1101,   1574,   1935,   4110,   6649,  11467,  11468, 
/* msg =   2694, deg = 10 */     73,    365,    867,   1215,   1591,   3398,   5574,   6736,  11468,  11469, 
/* msg =   2695, deg = 10 */     33,    584,    856,   1339,   1687,   3380,   3837,   7962,  11469,  11470, 
/* msg =   2696, deg = 10 */    163,    518,    944,   1221,   1623,   3107,   3917,   7343,  11471,  11472, 
/* msg =   2697, deg = 10 */    155,    496,    722,   1117,   1603,   2680,   3976,   7719,  11472,  11473, 
/* msg =   2698, deg = 10 */    290,    404,    860,   1128,   1580,   3224,   4725,   8402,  11473,  11474, 
/* msg =   2699, deg = 10 */    273,    499,    872,   1253,   1797,   2410,   4826,   7594,  11474,  11475, 
/* msg =   2700, deg = 10 */    257,    522,    938,   1082,   1716,   2101,   5043,   8267,  11475,  11476, 
/* msg =   2701, deg = 10 */     41,    517,    928,   1294,   1580,   3131,   4543,   6982,  11476,  11477, 
/* msg =   2702, deg = 10 */    107,    410,    936,   1252,   1543,   3445,   4198,   7009,  11477,  11478, 
/* msg =   2703, deg = 10 */     40,    499,    958,   1259,   1536,   3240,   5755,   7336,  11478,  11479, 
/* msg =   2704, deg = 10 */    322,    527,    931,   1222,   1592,   1947,   6035,   6899,  11479,  11480, 
/* msg =   2705, deg = 10 */    117,    583,    960,   1415,   1531,   2863,   4569,   8175,  11480,  11481, 
/* msg =   2706, deg = 10 */    153,    503,    918,   1188,   1580,   2784,   5407,   8367,  11481,  11482, 
/* msg =   2707, deg = 10 */    249,    577,   1076,   1240,   1533,   2315,   6102,   6625,  11482,  11483, 
/* msg =   2708, deg = 10 */    224,    588,    899,   1298,   1513,   2096,   4357,   8420,  11483,  11484, 
/* msg =   2709, deg = 10 */    115,    641,    721,   1416,   1567,   2298,   5090,   6175,  11484,  11485, 
/* msg =   2710, deg = 10 */    134,    509,    884,   1117,   1588,   2683,   3735,   6324,  11485,  11486, 
/* msg =   2711, deg = 10 */     32,    406,    987,   1146,   1518,   2369,   4834,   6291,  11486,  11487, 
/* msg =   2712, deg = 10 */    282,    545,    980,   1249,   1729,   3047,   5369,   7730,  11487,  11488, 
/* msg =   2713, deg = 10 */    295,    621,   1011,   1102,   1575,   1936,   4111,   6650,  11488,  11489, 
/* msg =   2714, deg = 10 */     74,    366,    868,   1216,   1592,   3399,   5575,   6737,  11489,  11490, 
/* msg =   2715, deg = 10 */     34,    585,    857,   1340,   1688,   3381,   3838,   7963,  11490,  11491, 
/* msg =   2716, deg = 10 */    164,    519,    945,   1222,   1624,   3108,   3918,   7344,  11492,  11493, 
/* msg =   2717, deg = 10 */    156,    497,    723,   1118,   1604,   2681,   3977,   7720,  11493,  11494, 
/* msg =   2718, deg = 10 */    291,    405,    861,   1129,   1581,   3225,   4726,   8403,  11494,  11495, 
/* msg =   2719, deg = 10 */    274,    500,    873,   1254,   1798,   2411,   4827,   7595,  11495,  11496, 
/* msg =   2720, deg = 10 */    258,    523,    939,   1083,   1717,   2102,   5044,   8268,  11496,  11497, 
/* msg =   2721, deg = 10 */     42,    518,    929,   1295,   1581,   3132,   4544,   6983,  11497,  11498, 
/* msg =   2722, deg = 10 */    108,    411,    937,   1253,   1544,   3446,   4199,   7010,  11498,  11499, 
/* msg =   2723, deg = 10 */     41,    500,    959,   1260,   1537,   3241,   5756,   7337,  11499,  11500, 
/* msg =   2724, deg = 10 */    323,    528,    932,   1223,   1593,   1948,   6036,   6900,  11500,  11501, 
/* msg =   2725, deg = 10 */    118,    584,    961,   1416,   1532,   2864,   4570,   8176,  11501,  11502, 
/* msg =   2726, deg = 10 */    154,    504,    919,   1189,   1581,   2785,   5408,   8368,  11502,  11503, 
/* msg =   2727, deg = 10 */    250,    578,   1077,   1241,   1534,   2316,   6103,   6626,  11503,  11504, 
/* msg =   2728, deg = 10 */    225,    589,    900,   1299,   1514,   2097,   4358,   8421,  11504,  11505, 
/* msg =   2729, deg = 10 */    116,    642,    722,   1417,   1568,   2299,   5091,   6176,  11505,  11506, 
/* msg =   2730, deg = 10 */    135,    510,    885,   1118,   1589,   2684,   3736,   6325,  11506,  11507, 
/* msg =   2731, deg = 10 */     33,    407,    988,   1147,   1519,   2370,   4835,   6292,  11507,  11508, 
/* msg =   2732, deg = 10 */    283,    546,    981,   1250,   1730,   3048,   5370,   7731,  11508,  11509, 
/* msg =   2733, deg = 10 */    296,    622,   1012,   1103,   1576,   1937,   4112,   6651,  11509,  11510, 
/* msg =   2734, deg = 10 */     75,    367,    869,   1217,   1593,   3400,   5576,   6738,  11510,  11511, 
/* msg =   2735, deg = 10 */     35,    586,    858,   1341,   1689,   3382,   3839,   7964,  11511,  11512, 
/* msg =   2736, deg = 10 */    165,    520,    946,   1223,   1625,   3109,   3919,   7345,  11513,  11514, 
/* msg =   2737, deg = 10 */    157,    498,    724,   1119,   1605,   2682,   3978,   7721,  11514,  11515, 
/* msg =   2738, deg = 10 */    292,    406,    862,   1130,   1582,   3226,   4727,   8404,  11515,  11516, 
/* msg =   2739, deg = 10 */    275,    501,    874,   1255,   1799,   2412,   4828,   7596,  11516,  11517, 
/* msg =   2740, deg = 10 */    259,    524,    940,   1084,   1718,   2103,   5045,   8269,  11517,  11518, 
/* msg =   2741, deg = 10 */     43,    519,    930,   1296,   1582,   3133,   4545,   6984,  11518,  11519, 
/* msg =   2742, deg = 10 */    109,    412,    938,   1254,   1545,   3447,   4200,   7011,  11519,  11520, 
/* msg =   2743, deg = 10 */     42,    501,    960,   1261,   1538,   3242,   5757,   7338,  11520,  11521, 
/* msg =   2744, deg = 10 */    324,    529,    933,   1224,   1594,   1949,   6037,   6901,  11521,  11522, 
/* msg =   2745, deg = 10 */    119,    585,    962,   1417,   1533,   2865,   4571,   8177,  11522,  11523, 
/* msg =   2746, deg = 10 */    155,    505,    920,   1190,   1582,   2786,   5409,   8369,  11523,  11524, 
/* msg =   2747, deg = 10 */    251,    579,   1078,   1242,   1535,   2317,   6104,   6627,  11524,  11525, 
/* msg =   2748, deg = 10 */    226,    590,    901,   1300,   1515,   2098,   4359,   8422,  11525,  11526, 
/* msg =   2749, deg = 10 */    117,    643,    723,   1418,   1569,   2300,   5092,   6177,  11526,  11527, 
/* msg =   2750, deg = 10 */    136,    511,    886,   1119,   1590,   2685,   3737,   6326,  11527,  11528, 
/* msg =   2751, deg = 10 */     34,    408,    989,   1148,   1520,   2371,   4836,   6293,  11528,  11529, 
/* msg =   2752, deg = 10 */    284,    547,    982,   1251,   1731,   3049,   5371,   7732,  11529,  11530, 
/* msg =   2753, deg = 10 */    297,    623,   1013,   1104,   1577,   1938,   4113,   6652,  11530,  11531, 
/* msg =   2754, deg = 10 */     76,    368,    870,   1218,   1594,   3401,   5577,   6739,  11531,  11532, 
/* msg =   2755, deg = 10 */     36,    587,    859,   1342,   1690,   3383,   3840,   7965,  11532,  11533, 
/* msg =   2756, deg = 10 */    166,    521,    947,   1224,   1626,   3110,   3920,   7346,  11534,  11535, 
/* msg =   2757, deg = 10 */    158,    499,    725,   1120,   1606,   2683,   3979,   7722,  11535,  11536, 
/* msg =   2758, deg = 10 */    293,    407,    863,   1131,   1583,   3227,   4728,   8405,  11536,  11537, 
/* msg =   2759, deg = 10 */    276,    502,    875,   1256,   1440,   2413,   4829,   7597,  11537,  11538, 
/* msg =   2760, deg = 10 */    260,    525,    941,   1085,   1719,   2104,   5046,   8270,  11538,  11539, 
/* msg =   2761, deg = 10 */     44,    520,    931,   1297,   1583,   3134,   4546,   6985,  11539,  11540, 
/* msg =   2762, deg = 10 */    110,    413,    939,   1255,   1546,   3448,   4201,   7012,  11540,  11541, 
/* msg =   2763, deg = 10 */     43,    502,    961,   1262,   1539,   3243,   5758,   7339,  11541,  11542, 
/* msg =   2764, deg = 10 */    325,    530,    934,   1225,   1595,   1950,   6038,   6902,  11542,  11543, 
/* msg =   2765, deg = 10 */    120,    586,    963,   1418,   1534,   2866,   4572,   8178,  11543,  11544, 
/* msg =   2766, deg = 10 */    156,    506,    921,   1191,   1583,   2787,   5410,   8370,  11544,  11545, 
/* msg =   2767, deg = 10 */    252,    580,   1079,   1243,   1536,   2318,   6105,   6628,  11545,  11546, 
/* msg =   2768, deg = 10 */    227,    591,    902,   1301,   1516,   2099,   4360,   8423,  11546,  11547, 
/* msg =   2769, deg = 10 */    118,    644,    724,   1419,   1570,   2301,   5093,   6178,  11547,  11548, 
/* msg =   2770, deg = 10 */    137,    512,    887,   1120,   1591,   2686,   3738,   6327,  11548,  11549, 
/* msg =   2771, deg = 10 */     35,    409,    990,   1149,   1521,   2372,   4837,   6294,  11549,  11550, 
/* msg =   2772, deg = 10 */    285,    548,    983,   1252,   1732,   3050,   5372,   7733,  11550,  11551, 
/* msg =   2773, deg = 10 */    298,    624,   1014,   1105,   1578,   1939,   4114,   6653,  11551,  11552, 
/* msg =   2774, deg = 10 */     77,    369,    871,   1219,   1595,   3402,   5578,   6740,  11552,  11553, 
/* msg =   2775, deg = 10 */     37,    588,    860,   1343,   1691,   3384,   3841,   7966,  11553,  11554, 
/* msg =   2776, deg = 10 */    167,    522,    948,   1225,   1627,   3111,   3921,   7347,  11555,  11556, 
/* msg =   2777, deg = 10 */    159,    500,    726,   1121,   1607,   2684,   3980,   7723,  11556,  11557, 
/* msg =   2778, deg = 10 */    294,    408,    864,   1132,   1584,   3228,   4729,   8406,  11557,  11558, 
/* msg =   2779, deg = 10 */    277,    503,    876,   1257,   1441,   2414,   4830,   7598,  11558,  11559, 
/* msg =   2780, deg = 10 */    261,    526,    942,   1086,   1720,   2105,   5047,   8271,  11559,  11560, 
/* msg =   2781, deg = 10 */     45,    521,    932,   1298,   1584,   3135,   4547,   6986,  11560,  11561, 
/* msg =   2782, deg = 10 */    111,    414,    940,   1256,   1547,   3449,   4202,   7013,  11561,  11562, 
/* msg =   2783, deg = 10 */     44,    503,    962,   1263,   1540,   3244,   5759,   7340,  11562,  11563, 
/* msg =   2784, deg = 10 */    326,    531,    935,   1226,   1596,   1951,   6039,   6903,  11563,  11564, 
/* msg =   2785, deg = 10 */    121,    587,    964,   1419,   1535,   2867,   4573,   8179,  11564,  11565, 
/* msg =   2786, deg = 10 */    157,    507,    922,   1192,   1584,   2788,   5411,   8371,  11565,  11566, 
/* msg =   2787, deg = 10 */    253,    581,    720,   1244,   1537,   2319,   6106,   6629,  11566,  11567, 
/* msg =   2788, deg = 10 */    228,    592,    903,   1302,   1517,   2100,   4361,   8424,  11567,  11568, 
/* msg =   2789, deg = 10 */    119,    645,    725,   1420,   1571,   2302,   5094,   6179,  11568,  11569, 
/* msg =   2790, deg = 10 */    138,    513,    888,   1121,   1592,   2687,   3739,   6328,  11569,  11570, 
/* msg =   2791, deg = 10 */     36,    410,    991,   1150,   1522,   2373,   4838,   6295,  11570,  11571, 
/* msg =   2792, deg = 10 */    286,    549,    984,   1253,   1733,   3051,   5373,   7734,  11571,  11572, 
/* msg =   2793, deg = 10 */    299,    625,   1015,   1106,   1579,   1940,   4115,   6654,  11572,  11573, 
/* msg =   2794, deg = 10 */     78,    370,    872,   1220,   1596,   3403,   5579,   6741,  11573,  11574, 
/* msg =   2795, deg = 10 */     38,    589,    861,   1344,   1692,   3385,   3842,   7967,  11574,  11575, 
/* msg =   2796, deg = 10 */    168,    523,    949,   1226,   1628,   3112,   3922,   7348,  11576,  11577, 
/* msg =   2797, deg = 10 */    160,    501,    727,   1122,   1608,   2685,   3981,   7724,  11577,  11578, 
/* msg =   2798, deg = 10 */    295,    409,    865,   1133,   1585,   3229,   4730,   8407,  11578,  11579, 
/* msg =   2799, deg = 10 */    278,    504,    877,   1258,   1442,   2415,   4831,   7599,  11579,  11580, 
/* msg =   2800, deg = 10 */    262,    527,    943,   1087,   1721,   2106,   5048,   8272,  11580,  11581, 
/* msg =   2801, deg = 10 */     46,    522,    933,   1299,   1585,   3136,   4548,   6987,  11581,  11582, 
/* msg =   2802, deg = 10 */    112,    415,    941,   1257,   1548,   3450,   4203,   7014,  11582,  11583, 
/* msg =   2803, deg = 10 */     45,    504,    963,   1264,   1541,   3245,   5400,   7341,  11583,  11584, 
/* msg =   2804, deg = 10 */    327,    532,    936,   1227,   1597,   1952,   6040,   6904,  11584,  11585, 
/* msg =   2805, deg = 10 */    122,    588,    965,   1420,   1536,   2868,   4574,   8180,  11585,  11586, 
/* msg =   2806, deg = 10 */    158,    508,    923,   1193,   1585,   2789,   5412,   8372,  11586,  11587, 
/* msg =   2807, deg = 10 */    254,    582,    721,   1245,   1538,   2320,   6107,   6630,  11587,  11588, 
/* msg =   2808, deg = 10 */    229,    593,    904,   1303,   1518,   2101,   4362,   8425,  11588,  11589, 
/* msg =   2809, deg = 10 */    120,    646,    726,   1421,   1572,   2303,   5095,   6180,  11589,  11590, 
/* msg =   2810, deg = 10 */    139,    514,    889,   1122,   1593,   2688,   3740,   6329,  11590,  11591, 
/* msg =   2811, deg = 10 */     37,    411,    992,   1151,   1523,   2374,   4839,   6296,  11591,  11592, 
/* msg =   2812, deg = 10 */    287,    550,    985,   1254,   1734,   3052,   5374,   7735,  11592,  11593, 
/* msg =   2813, deg = 10 */    300,    626,   1016,   1107,   1580,   1941,   4116,   6655,  11593,  11594, 
/* msg =   2814, deg = 10 */     79,    371,    873,   1221,   1597,   3404,   5580,   6742,  11594,  11595, 
/* msg =   2815, deg = 10 */     39,    590,    862,   1345,   1693,   3386,   3843,   7968,  11595,  11596, 
/* msg =   2816, deg = 10 */    169,    524,    950,   1227,   1629,   3113,   3923,   7349,  11597,  11598, 
/* msg =   2817, deg = 10 */    161,    502,    728,   1123,   1609,   2686,   3982,   7725,  11598,  11599, 
/* msg =   2818, deg = 10 */    296,    410,    866,   1134,   1586,   3230,   4731,   8408,  11599,  11600, 
/* msg =   2819, deg = 10 */    279,    505,    878,   1259,   1443,   2416,   4832,   7600,  11600,  11601, 
/* msg =   2820, deg = 10 */    263,    528,    944,   1088,   1722,   2107,   5049,   8273,  11601,  11602, 
/* msg =   2821, deg = 10 */     47,    523,    934,   1300,   1586,   3137,   4549,   6988,  11602,  11603, 
/* msg =   2822, deg = 10 */    113,    416,    942,   1258,   1549,   3451,   4204,   7015,  11603,  11604, 
/* msg =   2823, deg = 10 */     46,    505,    964,   1265,   1542,   3246,   5401,   7342,  11604,  11605, 
/* msg =   2824, deg = 10 */    328,    533,    937,   1228,   1598,   1953,   6041,   6905,  11605,  11606, 
/* msg =   2825, deg = 10 */    123,    589,    966,   1421,   1537,   2869,   4575,   8181,  11606,  11607, 
/* msg =   2826, deg = 10 */    159,    509,    924,   1194,   1586,   2790,   5413,   8373,  11607,  11608, 
/* msg =   2827, deg = 10 */    255,    583,    722,   1246,   1539,   2321,   6108,   6631,  11608,  11609, 
/* msg =   2828, deg = 10 */    230,    594,    905,   1304,   1519,   2102,   4363,   8426,  11609,  11610, 
/* msg =   2829, deg = 10 */    121,    647,    727,   1422,   1573,   2304,   5096,   6181,  11610,  11611, 
/* msg =   2830, deg = 10 */    140,    515,    890,   1123,   1594,   2689,   3741,   6330,  11611,  11612, 
/* msg =   2831, deg = 10 */     38,    412,    993,   1152,   1524,   2375,   4840,   6297,  11612,  11613, 
/* msg =   2832, deg = 10 */    288,    551,    986,   1255,   1735,   3053,   5375,   7736,  11613,  11614, 
/* msg =   2833, deg = 10 */    301,    627,   1017,   1108,   1581,   1942,   4117,   6656,  11614,  11615, 
/* msg =   2834, deg = 10 */     80,    372,    874,   1222,   1598,   3405,   5581,   6743,  11615,  11616, 
/* msg =   2835, deg = 10 */     40,    591,    863,   1346,   1694,   3387,   3844,   7969,  11616,  11617, 
/* msg =   2836, deg = 10 */    170,    525,    951,   1228,   1630,   3114,   3924,   7350,  11618,  11619, 
/* msg =   2837, deg = 10 */    162,    503,    729,   1124,   1610,   2687,   3983,   7726,  11619,  11620, 
/* msg =   2838, deg = 10 */    297,    411,    867,   1135,   1587,   3231,   4732,   8409,  11620,  11621, 
/* msg =   2839, deg = 10 */    280,    506,    879,   1260,   1444,   2417,   4833,   7601,  11621,  11622, 
/* msg =   2840, deg = 10 */    264,    529,    945,   1089,   1723,   2108,   5050,   8274,  11622,  11623, 
/* msg =   2841, deg = 10 */     48,    524,    935,   1301,   1587,   3138,   4550,   6989,  11623,  11624, 
/* msg =   2842, deg = 10 */    114,    417,    943,   1259,   1550,   3452,   4205,   7016,  11624,  11625, 
/* msg =   2843, deg = 10 */     47,    506,    965,   1266,   1543,   3247,   5402,   7343,  11625,  11626, 
/* msg =   2844, deg = 10 */    329,    534,    938,   1229,   1599,   1954,   6042,   6906,  11626,  11627, 
/* msg =   2845, deg = 10 */    124,    590,    967,   1422,   1538,   2870,   4576,   8182,  11627,  11628, 
/* msg =   2846, deg = 10 */    160,    510,    925,   1195,   1587,   2791,   5414,   8374,  11628,  11629, 
/* msg =   2847, deg = 10 */    256,    584,    723,   1247,   1540,   2322,   6109,   6632,  11629,  11630, 
/* msg =   2848, deg = 10 */    231,    595,    906,   1305,   1520,   2103,   4364,   8427,  11630,  11631, 
/* msg =   2849, deg = 10 */    122,    648,    728,   1423,   1574,   2305,   5097,   6182,  11631,  11632, 
/* msg =   2850, deg = 10 */    141,    516,    891,   1124,   1595,   2690,   3742,   6331,  11632,  11633, 
/* msg =   2851, deg = 10 */     39,    413,    994,   1153,   1525,   2376,   4841,   6298,  11633,  11634, 
/* msg =   2852, deg = 10 */    289,    552,    987,   1256,   1736,   3054,   5376,   7737,  11634,  11635, 
/* msg =   2853, deg = 10 */    302,    628,   1018,   1109,   1582,   1943,   4118,   6657,  11635,  11636, 
/* msg =   2854, deg = 10 */     81,    373,    875,   1223,   1599,   3406,   5582,   6744,  11636,  11637, 
/* msg =   2855, deg = 10 */     41,    592,    864,   1347,   1695,   3388,   3845,   7970,  11637,  11638, 
/* msg =   2856, deg = 10 */    171,    526,    952,   1229,   1631,   3115,   3925,   7351,  11639,  11640, 
/* msg =   2857, deg = 10 */    163,    504,    730,   1125,   1611,   2688,   3984,   7727,  11640,  11641, 
/* msg =   2858, deg = 10 */    298,    412,    868,   1136,   1588,   3232,   4733,   8410,  11641,  11642, 
/* msg =   2859, deg = 10 */    281,    507,    880,   1261,   1445,   2418,   4834,   7602,  11642,  11643, 
/* msg =   2860, deg = 10 */    265,    530,    946,   1090,   1724,   2109,   5051,   8275,  11643,  11644, 
/* msg =   2861, deg = 10 */     49,    525,    936,   1302,   1588,   3139,   4551,   6990,  11644,  11645, 
/* msg =   2862, deg = 10 */    115,    418,    944,   1260,   1551,   3453,   4206,   7017,  11645,  11646, 
/* msg =   2863, deg = 10 */     48,    507,    966,   1267,   1544,   3248,   5403,   7344,  11646,  11647, 
/* msg =   2864, deg = 10 */    330,    535,    939,   1230,   1600,   1955,   6043,   6907,  11647,  11648, 
/* msg =   2865, deg = 10 */    125,    591,    968,   1423,   1539,   2871,   4577,   8183,  11648,  11649, 
/* msg =   2866, deg = 10 */    161,    511,    926,   1196,   1588,   2792,   5415,   8375,  11649,  11650, 
/* msg =   2867, deg = 10 */    257,    585,    724,   1248,   1541,   2323,   6110,   6633,  11650,  11651, 
/* msg =   2868, deg = 10 */    232,    596,    907,   1306,   1521,   2104,   4365,   8428,  11651,  11652, 
/* msg =   2869, deg = 10 */    123,    649,    729,   1424,   1575,   2306,   5098,   6183,  11652,  11653, 
/* msg =   2870, deg = 10 */    142,    517,    892,   1125,   1596,   2691,   3743,   6332,  11653,  11654, 
/* msg =   2871, deg = 10 */     40,    414,    995,   1154,   1526,   2377,   4842,   6299,  11654,  11655, 
/* msg =   2872, deg = 10 */    290,    553,    988,   1257,   1737,   3055,   5377,   7738,  11655,  11656, 
/* msg =   2873, deg = 10 */    303,    629,   1019,   1110,   1583,   1944,   4119,   6658,  11656,  11657, 
/* msg =   2874, deg = 10 */     82,    374,    876,   1224,   1600,   3407,   5583,   6745,  11657,  11658, 
/* msg =   2875, deg = 10 */     42,    593,    865,   1348,   1696,   3389,   3846,   7971,  11658,  11659, 
/* msg =   2876, deg = 10 */    172,    527,    953,   1230,   1632,   3116,   3926,   7352,  11660,  11661, 
/* msg =   2877, deg = 10 */    164,    505,    731,   1126,   1612,   2689,   3985,   7728,  11661,  11662, 
/* msg =   2878, deg = 10 */    299,    413,    869,   1137,   1589,   3233,   4734,   8411,  11662,  11663, 
/* msg =   2879, deg = 10 */    282,    508,    881,   1262,   1446,   2419,   4835,   7603,  11663,  11664, 
/* msg =   2880, deg = 10 */    266,    531,    947,   1091,   1725,   2110,   5052,   8276,  11664,  11665, 
/* msg =   2881, deg = 10 */     50,    526,    937,   1303,   1589,   3140,   4552,   6991,  11665,  11666, 
/* msg =   2882, deg = 10 */    116,    419,    945,   1261,   1552,   3454,   4207,   7018,  11666,  11667, 
/* msg =   2883, deg = 10 */     49,    508,    967,   1268,   1545,   3249,   5404,   7345,  11667,  11668, 
/* msg =   2884, deg = 10 */    331,    536,    940,   1231,   1601,   1956,   6044,   6908,  11668,  11669, 
/* msg =   2885, deg = 10 */    126,    592,    969,   1424,   1540,   2872,   4578,   8184,  11669,  11670, 
/* msg =   2886, deg = 10 */    162,    512,    927,   1197,   1589,   2793,   5416,   8376,  11670,  11671, 
/* msg =   2887, deg = 10 */    258,    586,    725,   1249,   1542,   2324,   6111,   6634,  11671,  11672, 
/* msg =   2888, deg = 10 */    233,    597,    908,   1307,   1522,   2105,   4366,   8429,  11672,  11673, 
/* msg =   2889, deg = 10 */    124,    650,    730,   1425,   1576,   2307,   5099,   6184,  11673,  11674, 
/* msg =   2890, deg = 10 */    143,    518,    893,   1126,   1597,   2692,   3744,   6333,  11674,  11675, 
/* msg =   2891, deg = 10 */     41,    415,    996,   1155,   1527,   2378,   4843,   6300,  11675,  11676, 
/* msg =   2892, deg = 10 */    291,    554,    989,   1258,   1738,   3056,   5378,   7739,  11676,  11677, 
/* msg =   2893, deg = 10 */    304,    630,   1020,   1111,   1584,   1945,   4120,   6659,  11677,  11678, 
/* msg =   2894, deg = 10 */     83,    375,    877,   1225,   1601,   3408,   5584,   6746,  11678,  11679, 
/* msg =   2895, deg = 10 */     43,    594,    866,   1349,   1697,   3390,   3847,   7972,  11679,  11680, 
/* msg =   2896, deg = 10 */    173,    528,    954,   1231,   1633,   3117,   3927,   7353,  11681,  11682, 
/* msg =   2897, deg = 10 */    165,    506,    732,   1127,   1613,   2690,   3986,   7729,  11682,  11683, 
/* msg =   2898, deg = 10 */    300,    414,    870,   1138,   1590,   3234,   4735,   8412,  11683,  11684, 
/* msg =   2899, deg = 10 */    283,    509,    882,   1263,   1447,   2420,   4836,   7604,  11684,  11685, 
/* msg =   2900, deg = 10 */    267,    532,    948,   1092,   1726,   2111,   5053,   8277,  11685,  11686, 
/* msg =   2901, deg = 10 */     51,    527,    938,   1304,   1590,   3141,   4553,   6992,  11686,  11687, 
/* msg =   2902, deg = 10 */    117,    420,    946,   1262,   1553,   3455,   4208,   7019,  11687,  11688, 
/* msg =   2903, deg = 10 */     50,    509,    968,   1269,   1546,   3250,   5405,   7346,  11688,  11689, 
/* msg =   2904, deg = 10 */    332,    537,    941,   1232,   1602,   1957,   6045,   6909,  11689,  11690, 
/* msg =   2905, deg = 10 */    127,    593,    970,   1425,   1541,   2873,   4579,   8185,  11690,  11691, 
/* msg =   2906, deg = 10 */    163,    513,    928,   1198,   1590,   2794,   5417,   8377,  11691,  11692, 
/* msg =   2907, deg = 10 */    259,    587,    726,   1250,   1543,   2325,   6112,   6635,  11692,  11693, 
/* msg =   2908, deg = 10 */    234,    598,    909,   1308,   1523,   2106,   4367,   8430,  11693,  11694, 
/* msg =   2909, deg = 10 */    125,    651,    731,   1426,   1577,   2308,   5100,   6185,  11694,  11695, 
/* msg =   2910, deg = 10 */    144,    519,    894,   1127,   1598,   2693,   3745,   6334,  11695,  11696, 
/* msg =   2911, deg = 10 */     42,    416,    997,   1156,   1528,   2379,   4844,   6301,  11696,  11697, 
/* msg =   2912, deg = 10 */    292,    555,    990,   1259,   1739,   3057,   5379,   7740,  11697,  11698, 
/* msg =   2913, deg = 10 */    305,    631,   1021,   1112,   1585,   1946,   4121,   6660,  11698,  11699, 
/* msg =   2914, deg = 10 */     84,    376,    878,   1226,   1602,   3409,   5585,   6747,  11699,  11700, 
/* msg =   2915, deg = 10 */     44,    595,    867,   1350,   1698,   3391,   3848,   7973,  11700,  11701, 
/* msg =   2916, deg = 10 */    174,    529,    955,   1232,   1634,   3118,   3928,   7354,  11702,  11703, 
/* msg =   2917, deg = 10 */    166,    507,    733,   1128,   1614,   2691,   3987,   7730,  11703,  11704, 
/* msg =   2918, deg = 10 */    301,    415,    871,   1139,   1591,   3235,   4736,   8413,  11704,  11705, 
/* msg =   2919, deg = 10 */    284,    510,    883,   1264,   1448,   2421,   4837,   7605,  11705,  11706, 
/* msg =   2920, deg = 10 */    268,    533,    949,   1093,   1727,   2112,   5054,   8278,  11706,  11707, 
/* msg =   2921, deg = 10 */     52,    528,    939,   1305,   1591,   3142,   4554,   6993,  11707,  11708, 
/* msg =   2922, deg = 10 */    118,    421,    947,   1263,   1554,   3456,   4209,   7020,  11708,  11709, 
/* msg =   2923, deg = 10 */     51,    510,    969,   1270,   1547,   3251,   5406,   7347,  11709,  11710, 
/* msg =   2924, deg = 10 */    333,    538,    942,   1233,   1603,   1958,   6046,   6910,  11710,  11711, 
/* msg =   2925, deg = 10 */    128,    594,    971,   1426,   1542,   2874,   4580,   8186,  11711,  11712, 
/* msg =   2926, deg = 10 */    164,    514,    929,   1199,   1591,   2795,   5418,   8378,  11712,  11713, 
/* msg =   2927, deg = 10 */    260,    588,    727,   1251,   1544,   2326,   6113,   6636,  11713,  11714, 
/* msg =   2928, deg = 10 */    235,    599,    910,   1309,   1524,   2107,   4368,   8431,  11714,  11715, 
/* msg =   2929, deg = 10 */    126,    652,    732,   1427,   1578,   2309,   5101,   6186,  11715,  11716, 
/* msg =   2930, deg = 10 */    145,    520,    895,   1128,   1599,   2694,   3746,   6335,  11716,  11717, 
/* msg =   2931, deg = 10 */     43,    417,    998,   1157,   1529,   2380,   4845,   6302,  11717,  11718, 
/* msg =   2932, deg = 10 */    293,    556,    991,   1260,   1740,   3058,   5380,   7741,  11718,  11719, 
/* msg =   2933, deg = 10 */    306,    632,   1022,   1113,   1586,   1947,   4122,   6661,  11719,  11720, 
/* msg =   2934, deg = 10 */     85,    377,    879,   1227,   1603,   3410,   5586,   6748,  11720,  11721, 
/* msg =   2935, deg = 10 */     45,    596,    868,   1351,   1699,   3392,   3849,   7974,  11721,  11722, 
/* msg =   2936, deg = 10 */    175,    530,    956,   1233,   1635,   3119,   3929,   7355,  11723,  11724, 
/* msg =   2937, deg = 10 */    167,    508,    734,   1129,   1615,   2692,   3988,   7731,  11724,  11725, 
/* msg =   2938, deg = 10 */    302,    416,    872,   1140,   1592,   3236,   4737,   8414,  11725,  11726, 
/* msg =   2939, deg = 10 */    285,    511,    884,   1265,   1449,   2422,   4838,   7606,  11726,  11727, 
/* msg =   2940, deg = 10 */    269,    534,    950,   1094,   1728,   2113,   5055,   8279,  11727,  11728, 
/* msg =   2941, deg = 10 */     53,    529,    940,   1306,   1592,   3143,   4555,   6994,  11728,  11729, 
/* msg =   2942, deg = 10 */    119,    422,    948,   1264,   1555,   3457,   4210,   7021,  11729,  11730, 
/* msg =   2943, deg = 10 */     52,    511,    970,   1271,   1548,   3252,   5407,   7348,  11730,  11731, 
/* msg =   2944, deg = 10 */    334,    539,    943,   1234,   1604,   1959,   6047,   6911,  11731,  11732, 
/* msg =   2945, deg = 10 */    129,    595,    972,   1427,   1543,   2875,   4581,   8187,  11732,  11733, 
/* msg =   2946, deg = 10 */    165,    515,    930,   1200,   1592,   2796,   5419,   8379,  11733,  11734, 
/* msg =   2947, deg = 10 */    261,    589,    728,   1252,   1545,   2327,   6114,   6637,  11734,  11735, 
/* msg =   2948, deg = 10 */    236,    600,    911,   1310,   1525,   2108,   4369,   8432,  11735,  11736, 
/* msg =   2949, deg = 10 */    127,    653,    733,   1428,   1579,   2310,   5102,   6187,  11736,  11737, 
/* msg =   2950, deg = 10 */    146,    521,    896,   1129,   1600,   2695,   3747,   6336,  11737,  11738, 
/* msg =   2951, deg = 10 */     44,    418,    999,   1158,   1530,   2381,   4846,   6303,  11738,  11739, 
/* msg =   2952, deg = 10 */    294,    557,    992,   1261,   1741,   3059,   5381,   7742,  11739,  11740, 
/* msg =   2953, deg = 10 */    307,    633,   1023,   1114,   1587,   1948,   4123,   6662,  11740,  11741, 
/* msg =   2954, deg = 10 */     86,    378,    880,   1228,   1604,   3411,   5587,   6749,  11741,  11742, 
/* msg =   2955, deg = 10 */     46,    597,    869,   1352,   1700,   3393,   3850,   7975,  11742,  11743, 
/* msg =   2956, deg = 10 */    176,    531,    957,   1234,   1636,   3120,   3930,   7356,  11744,  11745, 
/* msg =   2957, deg = 10 */    168,    509,    735,   1130,   1616,   2693,   3989,   7732,  11745,  11746, 
/* msg =   2958, deg = 10 */    303,    417,    873,   1141,   1593,   3237,   4738,   8415,  11746,  11747, 
/* msg =   2959, deg = 10 */    286,    512,    885,   1266,   1450,   2423,   4839,   7607,  11747,  11748, 
/* msg =   2960, deg = 10 */    270,    535,    951,   1095,   1729,   2114,   5056,   7920,  11748,  11749, 
/* msg =   2961, deg = 10 */     54,    530,    941,   1307,   1593,   3144,   4556,   6995,  11749,  11750, 
/* msg =   2962, deg = 10 */    120,    423,    949,   1265,   1556,   3458,   4211,   7022,  11750,  11751, 
/* msg =   2963, deg = 10 */     53,    512,    971,   1272,   1549,   3253,   5408,   7349,  11751,  11752, 
/* msg =   2964, deg = 10 */    335,    540,    944,   1235,   1605,   1960,   6048,   6912,  11752,  11753, 
/* msg =   2965, deg = 10 */    130,    596,    973,   1428,   1544,   2876,   4582,   8188,  11753,  11754, 
/* msg =   2966, deg = 10 */    166,    516,    931,   1201,   1593,   2797,   5420,   8380,  11754,  11755, 
/* msg =   2967, deg = 10 */    262,    590,    729,   1253,   1546,   2328,   6115,   6638,  11755,  11756, 
/* msg =   2968, deg = 10 */    237,    601,    912,   1311,   1526,   2109,   4370,   8433,  11756,  11757, 
/* msg =   2969, deg = 10 */    128,    654,    734,   1429,   1580,   2311,   5103,   6188,  11757,  11758, 
/* msg =   2970, deg = 10 */    147,    522,    897,   1130,   1601,   2696,   3748,   6337,  11758,  11759, 
/* msg =   2971, deg = 10 */     45,    419,   1000,   1159,   1531,   2382,   4847,   6304,  11759,  11760, 
/* msg =   2972, deg = 10 */    295,    558,    993,   1262,   1742,   3060,   5382,   7743,  11760,  11761, 
/* msg =   2973, deg = 10 */    308,    634,   1024,   1115,   1588,   1949,   4124,   6663,  11761,  11762, 
/* msg =   2974, deg = 10 */     87,    379,    881,   1229,   1605,   3412,   5588,   6750,  11762,  11763, 
/* msg =   2975, deg = 10 */     47,    598,    870,   1353,   1701,   3394,   3851,   7976,  11763,  11764, 
/* msg =   2976, deg = 10 */    177,    532,    958,   1235,   1637,   3121,   3931,   7357,  11765,  11766, 
/* msg =   2977, deg = 10 */    169,    510,    736,   1131,   1617,   2694,   3990,   7733,  11766,  11767, 
/* msg =   2978, deg = 10 */    304,    418,    874,   1142,   1594,   3238,   4739,   8416,  11767,  11768, 
/* msg =   2979, deg = 10 */    287,    513,    886,   1267,   1451,   2424,   4840,   7608,  11768,  11769, 
/* msg =   2980, deg = 10 */    271,    536,    952,   1096,   1730,   2115,   5057,   7921,  11769,  11770, 
/* msg =   2981, deg = 10 */     55,    531,    942,   1308,   1594,   3145,   4557,   6996,  11770,  11771, 
/* msg =   2982, deg = 10 */    121,    424,    950,   1266,   1557,   3459,   4212,   7023,  11771,  11772, 
/* msg =   2983, deg = 10 */     54,    513,    972,   1273,   1550,   3254,   5409,   7350,  11772,  11773, 
/* msg =   2984, deg = 10 */    336,    541,    945,   1236,   1606,   1961,   6049,   6913,  11773,  11774, 
/* msg =   2985, deg = 10 */    131,    597,    974,   1429,   1545,   2877,   4583,   8189,  11774,  11775, 
/* msg =   2986, deg = 10 */    167,    517,    932,   1202,   1594,   2798,   5421,   8381,  11775,  11776, 
/* msg =   2987, deg = 10 */    263,    591,    730,   1254,   1547,   2329,   6116,   6639,  11776,  11777, 
/* msg =   2988, deg = 10 */    238,    602,    913,   1312,   1527,   2110,   4371,   8434,  11777,  11778, 
/* msg =   2989, deg = 10 */    129,    655,    735,   1430,   1581,   2312,   5104,   6189,  11778,  11779, 
/* msg =   2990, deg = 10 */    148,    523,    898,   1131,   1602,   2697,   3749,   6338,  11779,  11780, 
/* msg =   2991, deg = 10 */     46,    420,   1001,   1160,   1532,   2383,   4848,   6305,  11780,  11781, 
/* msg =   2992, deg = 10 */    296,    559,    994,   1263,   1743,   3061,   5383,   7744,  11781,  11782, 
/* msg =   2993, deg = 10 */    309,    635,   1025,   1116,   1589,   1950,   4125,   6664,  11782,  11783, 
/* msg =   2994, deg = 10 */     88,    380,    882,   1230,   1606,   3413,   5589,   6751,  11783,  11784, 
/* msg =   2995, deg = 10 */     48,    599,    871,   1354,   1702,   3395,   3852,   7977,  11784,  11785, 
/* msg =   2996, deg = 10 */    178,    533,    959,   1236,   1638,   3122,   3932,   7358,  11786,  11787, 
/* msg =   2997, deg = 10 */    170,    511,    737,   1132,   1618,   2695,   3991,   7734,  11787,  11788, 
/* msg =   2998, deg = 10 */    305,    419,    875,   1143,   1595,   3239,   4740,   8417,  11788,  11789, 
/* msg =   2999, deg = 10 */    288,    514,    887,   1268,   1452,   2425,   4841,   7609,  11789,  11790, 
/* msg =   3000, deg = 10 */    272,    537,    953,   1097,   1731,   2116,   5058,   7922,  11790,  11791, 
/* msg =   3001, deg = 10 */     56,    532,    943,   1309,   1595,   3146,   4558,   6997,  11791,  11792, 
/* msg =   3002, deg = 10 */    122,    425,    951,   1267,   1558,   3460,   4213,   7024,  11792,  11793, 
/* msg =   3003, deg = 10 */     55,    514,    973,   1274,   1551,   3255,   5410,   7351,  11793,  11794, 
/* msg =   3004, deg = 10 */    337,    542,    946,   1237,   1607,   1962,   6050,   6914,  11794,  11795, 
/* msg =   3005, deg = 10 */    132,    598,    975,   1430,   1546,   2878,   4584,   8190,  11795,  11796, 
/* msg =   3006, deg = 10 */    168,    518,    933,   1203,   1595,   2799,   5422,   8382,  11796,  11797, 
/* msg =   3007, deg = 10 */    264,    592,    731,   1255,   1548,   2330,   6117,   6640,  11797,  11798, 
/* msg =   3008, deg = 10 */    239,    603,    914,   1313,   1528,   2111,   4372,   8435,  11798,  11799, 
/* msg =   3009, deg = 10 */    130,    656,    736,   1431,   1582,   2313,   5105,   6190,  11799,  11800, 
/* msg =   3010, deg = 10 */    149,    524,    899,   1132,   1603,   2698,   3750,   6339,  11800,  11801, 
/* msg =   3011, deg = 10 */     47,    421,   1002,   1161,   1533,   2384,   4849,   6306,  11801,  11802, 
/* msg =   3012, deg = 10 */    297,    560,    995,   1264,   1744,   3062,   5384,   7745,  11802,  11803, 
/* msg =   3013, deg = 10 */    310,    636,   1026,   1117,   1590,   1951,   4126,   6665,  11803,  11804, 
/* msg =   3014, deg = 10 */     89,    381,    883,   1231,   1607,   3414,   5590,   6752,  11804,  11805, 
/* msg =   3015, deg = 10 */     49,    600,    872,   1355,   1703,   3396,   3853,   7978,  11805,  11806, 
/* msg =   3016, deg = 10 */    179,    534,    960,   1237,   1639,   3123,   3933,   7359,  11807,  11808, 
/* msg =   3017, deg = 10 */    171,    512,    738,   1133,   1619,   2696,   3992,   7735,  11808,  11809, 
/* msg =   3018, deg = 10 */    306,    420,    876,   1144,   1596,   2880,   4741,   8418,  11809,  11810, 
/* msg =   3019, deg = 10 */    289,    515,    888,   1269,   1453,   2426,   4842,   7610,  11810,  11811, 
/* msg =   3020, deg = 10 */    273,    538,    954,   1098,   1732,   2117,   5059,   7923,  11811,  11812, 
/* msg =   3021, deg = 10 */     57,    533,    944,   1310,   1596,   3147,   4559,   6998,  11812,  11813, 
/* msg =   3022, deg = 10 */    123,    426,    952,   1268,   1559,   3461,   4214,   7025,  11813,  11814, 
/* msg =   3023, deg = 10 */     56,    515,    974,   1275,   1552,   3256,   5411,   7352,  11814,  11815, 
/* msg =   3024, deg = 10 */    338,    543,    947,   1238,   1608,   1963,   6051,   6915,  11815,  11816, 
/* msg =   3025, deg = 10 */    133,    599,    976,   1431,   1547,   2879,   4585,   8191,  11816,  11817, 
/* msg =   3026, deg = 10 */    169,    519,    934,   1204,   1596,   2800,   5423,   8383,  11817,  11818, 
/* msg =   3027, deg = 10 */    265,    593,    732,   1256,   1549,   2331,   6118,   6641,  11818,  11819, 
/* msg =   3028, deg = 10 */    240,    604,    915,   1314,   1529,   2112,   4373,   8436,  11819,  11820, 
/* msg =   3029, deg = 10 */    131,    657,    737,   1432,   1583,   2314,   5106,   6191,  11820,  11821, 
/* msg =   3030, deg = 10 */    150,    525,    900,   1133,   1604,   2699,   3751,   6340,  11821,  11822, 
/* msg =   3031, deg = 10 */     48,    422,   1003,   1162,   1534,   2385,   4850,   6307,  11822,  11823, 
/* msg =   3032, deg = 10 */    298,    561,    996,   1265,   1745,   3063,   5385,   7746,  11823,  11824, 
/* msg =   3033, deg = 10 */    311,    637,   1027,   1118,   1591,   1952,   4127,   6666,  11824,  11825, 
/* msg =   3034, deg = 10 */     90,    382,    884,   1232,   1608,   3415,   5591,   6753,  11825,  11826, 
/* msg =   3035, deg = 10 */     50,    601,    873,   1356,   1704,   3397,   3854,   7979,  11826,  11827, 
/* msg =   3036, deg = 10 */    180,    535,    961,   1238,   1640,   3124,   3934,   7360,  11828,  11829, 
/* msg =   3037, deg = 10 */    172,    513,    739,   1134,   1620,   2697,   3993,   7736,  11829,  11830, 
/* msg =   3038, deg = 10 */    307,    421,    877,   1145,   1597,   2881,   4742,   8419,  11830,  11831, 
/* msg =   3039, deg = 10 */    290,    516,    889,   1270,   1454,   2427,   4843,   7611,  11831,  11832, 
/* msg =   3040, deg = 10 */    274,    539,    955,   1099,   1733,   2118,   5060,   7924,  11832,  11833, 
/* msg =   3041, deg = 10 */     58,    534,    945,   1311,   1597,   3148,   4560,   6999,  11833,  11834, 
/* msg =   3042, deg = 10 */    124,    427,    953,   1269,   1560,   3462,   4215,   7026,  11834,  11835, 
/* msg =   3043, deg = 10 */     57,    516,    975,   1276,   1553,   3257,   5412,   7353,  11835,  11836, 
/* msg =   3044, deg = 10 */    339,    544,    948,   1239,   1609,   1964,   6052,   6916,  11836,  11837, 
/* msg =   3045, deg = 10 */    134,    600,    977,   1432,   1548,   2520,   4586,   8192,  11837,  11838, 
/* msg =   3046, deg = 10 */    170,    520,    935,   1205,   1597,   2801,   5424,   8384,  11838,  11839, 
/* msg =   3047, deg = 10 */    266,    594,    733,   1257,   1550,   2332,   6119,   6642,  11839,  11840, 
/* msg =   3048, deg = 10 */    241,    605,    916,   1315,   1530,   2113,   4374,   8437,  11840,  11841, 
/* msg =   3049, deg = 10 */    132,    658,    738,   1433,   1584,   2315,   5107,   6192,  11841,  11842, 
/* msg =   3050, deg = 10 */    151,    526,    901,   1134,   1605,   2700,   3752,   6341,  11842,  11843, 
/* msg =   3051, deg = 10 */     49,    423,   1004,   1163,   1535,   2386,   4851,   6308,  11843,  11844, 
/* msg =   3052, deg = 10 */    299,    562,    997,   1266,   1746,   3064,   5386,   7747,  11844,  11845, 
/* msg =   3053, deg = 10 */    312,    638,   1028,   1119,   1592,   1953,   4128,   6667,  11845,  11846, 
/* msg =   3054, deg = 10 */     91,    383,    885,   1233,   1609,   3416,   5592,   6754,  11846,  11847, 
/* msg =   3055, deg = 10 */     51,    602,    874,   1357,   1705,   3398,   3855,   7980,  11847,  11848, 
/* msg =   3056, deg = 10 */    181,    536,    962,   1239,   1641,   3125,   3935,   7361,  11849,  11850, 
/* msg =   3057, deg = 10 */    173,    514,    740,   1135,   1621,   2698,   3994,   7737,  11850,  11851, 
/* msg =   3058, deg = 10 */    308,    422,    878,   1146,   1598,   2882,   4743,   8420,  11851,  11852, 
/* msg =   3059, deg = 10 */    291,    517,    890,   1271,   1455,   2428,   4844,   7612,  11852,  11853, 
/* msg =   3060, deg = 10 */    275,    540,    956,   1100,   1734,   2119,   5061,   7925,  11853,  11854, 
/* msg =   3061, deg = 10 */     59,    535,    946,   1312,   1598,   3149,   4561,   7000,  11854,  11855, 
/* msg =   3062, deg = 10 */    125,    428,    954,   1270,   1561,   3463,   4216,   7027,  11855,  11856, 
/* msg =   3063, deg = 10 */     58,    517,    976,   1277,   1554,   3258,   5413,   7354,  11856,  11857, 
/* msg =   3064, deg = 10 */    340,    545,    949,   1240,   1610,   1965,   6053,   6917,  11857,  11858, 
/* msg =   3065, deg = 10 */    135,    601,    978,   1433,   1549,   2521,   4587,   8193,  11858,  11859, 
/* msg =   3066, deg = 10 */    171,    521,    936,   1206,   1598,   2802,   5425,   8385,  11859,  11860, 
/* msg =   3067, deg = 10 */    267,    595,    734,   1258,   1551,   2333,   5760,   6643,  11860,  11861, 
/* msg =   3068, deg = 10 */    242,    606,    917,   1316,   1531,   2114,   4375,   8438,  11861,  11862, 
/* msg =   3069, deg = 10 */    133,    659,    739,   1434,   1585,   2316,   5108,   6193,  11862,  11863, 
/* msg =   3070, deg = 10 */    152,    527,    902,   1135,   1606,   2701,   3753,   6342,  11863,  11864, 
/* msg =   3071, deg = 10 */     50,    424,   1005,   1164,   1536,   2387,   4852,   6309,  11864,  11865, 
/* msg =   3072, deg = 10 */    300,    563,    998,   1267,   1747,   3065,   5387,   7748,  11865,  11866, 
/* msg =   3073, deg = 10 */    313,    639,   1029,   1120,   1593,   1954,   4129,   6668,  11866,  11867, 
/* msg =   3074, deg = 10 */     92,    384,    886,   1234,   1610,   3417,   5593,   6755,  11867,  11868, 
/* msg =   3075, deg = 10 */     52,    603,    875,   1358,   1706,   3399,   3856,   7981,  11868,  11869, 
/* msg =   3076, deg = 10 */    182,    537,    963,   1240,   1642,   3126,   3936,   7362,  11870,  11871, 
/* msg =   3077, deg = 10 */    174,    515,    741,   1136,   1622,   2699,   3995,   7738,  11871,  11872, 
/* msg =   3078, deg = 10 */    309,    423,    879,   1147,   1599,   2883,   4744,   8421,  11872,  11873, 
/* msg =   3079, deg = 10 */    292,    518,    891,   1272,   1456,   2429,   4845,   7613,  11873,  11874, 
/* msg =   3080, deg = 10 */    276,    541,    957,   1101,   1735,   2120,   5062,   7926,  11874,  11875, 
/* msg =   3081, deg = 10 */     60,    536,    947,   1313,   1599,   3150,   4562,   7001,  11875,  11876, 
/* msg =   3082, deg = 10 */    126,    429,    955,   1271,   1562,   3464,   4217,   7028,  11876,  11877, 
/* msg =   3083, deg = 10 */     59,    518,    977,   1278,   1555,   3259,   5414,   7355,  11877,  11878, 
/* msg =   3084, deg = 10 */    341,    546,    950,   1241,   1611,   1966,   6054,   6918,  11878,  11879, 
/* msg =   3085, deg = 10 */    136,    602,    979,   1434,   1550,   2522,   4588,   8194,  11879,  11880, 
/* msg =   3086, deg = 10 */    172,    522,    937,   1207,   1599,   2803,   5426,   8386,  11880,  11881, 
/* msg =   3087, deg = 10 */    268,    596,    735,   1259,   1552,   2334,   5761,   6644,  11881,  11882, 
/* msg =   3088, deg = 10 */    243,    607,    918,   1317,   1532,   2115,   4376,   8439,  11882,  11883, 
/* msg =   3089, deg = 10 */    134,    660,    740,   1435,   1586,   2317,   5109,   6194,  11883,  11884, 
/* msg =   3090, deg = 10 */    153,    528,    903,   1136,   1607,   2702,   3754,   6343,  11884,  11885, 
/* msg =   3091, deg = 10 */     51,    425,   1006,   1165,   1537,   2388,   4853,   6310,  11885,  11886, 
/* msg =   3092, deg = 10 */    301,    564,    999,   1268,   1748,   3066,   5388,   7749,  11886,  11887, 
/* msg =   3093, deg = 10 */    314,    640,   1030,   1121,   1594,   1955,   4130,   6669,  11887,  11888, 
/* msg =   3094, deg = 10 */     93,    385,    887,   1235,   1611,   3418,   5594,   6756,  11888,  11889, 
/* msg =   3095, deg = 10 */     53,    604,    876,   1359,   1707,   3400,   3857,   7982,  11889,  11890, 
/* msg =   3096, deg = 10 */    183,    538,    964,   1241,   1643,   3127,   3937,   7363,  11891,  11892, 
/* msg =   3097, deg = 10 */    175,    516,    742,   1137,   1623,   2700,   3996,   7739,  11892,  11893, 
/* msg =   3098, deg = 10 */    310,    424,    880,   1148,   1600,   2884,   4745,   8422,  11893,  11894, 
/* msg =   3099, deg = 10 */    293,    519,    892,   1273,   1457,   2430,   4846,   7614,  11894,  11895, 
/* msg =   3100, deg = 10 */    277,    542,    958,   1102,   1736,   2121,   5063,   7927,  11895,  11896, 
/* msg =   3101, deg = 10 */     61,    537,    948,   1314,   1600,   3151,   4563,   7002,  11896,  11897, 
/* msg =   3102, deg = 10 */    127,    430,    956,   1272,   1563,   3465,   4218,   7029,  11897,  11898, 
/* msg =   3103, deg = 10 */     60,    519,    978,   1279,   1556,   3260,   5415,   7356,  11898,  11899, 
/* msg =   3104, deg = 10 */    342,    547,    951,   1242,   1612,   1967,   6055,   6919,  11899,  11900, 
/* msg =   3105, deg = 10 */    137,    603,    980,   1435,   1551,   2523,   4589,   8195,  11900,  11901, 
/* msg =   3106, deg = 10 */    173,    523,    938,   1208,   1600,   2804,   5427,   8387,  11901,  11902, 
/* msg =   3107, deg = 10 */    269,    597,    736,   1260,   1553,   2335,   5762,   6645,  11902,  11903, 
/* msg =   3108, deg = 10 */    244,    608,    919,   1318,   1533,   2116,   4377,   8440,  11903,  11904, 
/* msg =   3109, deg = 10 */    135,    661,    741,   1436,   1587,   2318,   5110,   6195,  11904,  11905, 
/* msg =   3110, deg = 10 */    154,    529,    904,   1137,   1608,   2703,   3755,   6344,  11905,  11906, 
/* msg =   3111, deg = 10 */     52,    426,   1007,   1166,   1538,   2389,   4854,   6311,  11906,  11907, 
/* msg =   3112, deg = 10 */    302,    565,   1000,   1269,   1749,   3067,   5389,   7750,  11907,  11908, 
/* msg =   3113, deg = 10 */    315,    641,   1031,   1122,   1595,   1956,   4131,   6670,  11908,  11909, 
/* msg =   3114, deg = 10 */     94,    386,    888,   1236,   1612,   3419,   5595,   6757,  11909,  11910, 
/* msg =   3115, deg = 10 */     54,    605,    877,   1360,   1708,   3401,   3858,   7983,  11910,  11911, 
/* msg =   3116, deg = 10 */    184,    539,    965,   1242,   1644,   3128,   3938,   7364,  11912,  11913, 
/* msg =   3117, deg = 10 */    176,    517,    743,   1138,   1624,   2701,   3997,   7740,  11913,  11914, 
/* msg =   3118, deg = 10 */    311,    425,    881,   1149,   1601,   2885,   4746,   8423,  11914,  11915, 
/* msg =   3119, deg = 10 */    294,    520,    893,   1274,   1458,   2431,   4847,   7615,  11915,  11916, 
/* msg =   3120, deg = 10 */    278,    543,    959,   1103,   1737,   2122,   5064,   7928,  11916,  11917, 
/* msg =   3121, deg = 10 */     62,    538,    949,   1315,   1601,   3152,   4564,   7003,  11917,  11918, 
/* msg =   3122, deg = 10 */    128,    431,    957,   1273,   1564,   3466,   4219,   7030,  11918,  11919, 
/* msg =   3123, deg = 10 */     61,    520,    979,   1280,   1557,   3261,   5416,   7357,  11919,  11920, 
/* msg =   3124, deg = 10 */    343,    548,    952,   1243,   1613,   1968,   6056,   6920,  11920,  11921, 
/* msg =   3125, deg = 10 */    138,    604,    981,   1436,   1552,   2524,   4590,   8196,  11921,  11922, 
/* msg =   3126, deg = 10 */    174,    524,    939,   1209,   1601,   2805,   5428,   8388,  11922,  11923, 
/* msg =   3127, deg = 10 */    270,    598,    737,   1261,   1554,   2336,   5763,   6646,  11923,  11924, 
/* msg =   3128, deg = 10 */    245,    609,    920,   1319,   1534,   2117,   4378,   8441,  11924,  11925, 
/* msg =   3129, deg = 10 */    136,    662,    742,   1437,   1588,   2319,   5111,   6196,  11925,  11926, 
/* msg =   3130, deg = 10 */    155,    530,    905,   1138,   1609,   2704,   3756,   6345,  11926,  11927, 
/* msg =   3131, deg = 10 */     53,    427,   1008,   1167,   1539,   2390,   4855,   6312,  11927,  11928, 
/* msg =   3132, deg = 10 */    303,    566,   1001,   1270,   1750,   3068,   5390,   7751,  11928,  11929, 
/* msg =   3133, deg = 10 */    316,    642,   1032,   1123,   1596,   1957,   4132,   6671,  11929,  11930, 
/* msg =   3134, deg = 10 */     95,    387,    889,   1237,   1613,   3420,   5596,   6758,  11930,  11931, 
/* msg =   3135, deg = 10 */     55,    606,    878,   1361,   1709,   3402,   3859,   7984,  11931,  11932, 
/* msg =   3136, deg = 10 */    185,    540,    966,   1243,   1645,   3129,   3939,   7365,  11933,  11934, 
/* msg =   3137, deg = 10 */    177,    518,    744,   1139,   1625,   2702,   3998,   7741,  11934,  11935, 
/* msg =   3138, deg = 10 */    312,    426,    882,   1150,   1602,   2886,   4747,   8424,  11935,  11936, 
/* msg =   3139, deg = 10 */    295,    521,    894,   1275,   1459,   2432,   4848,   7616,  11936,  11937, 
/* msg =   3140, deg = 10 */    279,    544,    960,   1104,   1738,   2123,   5065,   7929,  11937,  11938, 
/* msg =   3141, deg = 10 */     63,    539,    950,   1316,   1602,   3153,   4565,   7004,  11938,  11939, 
/* msg =   3142, deg = 10 */    129,    432,    958,   1274,   1565,   3467,   4220,   7031,  11939,  11940, 
/* msg =   3143, deg = 10 */     62,    521,    980,   1281,   1558,   3262,   5417,   7358,  11940,  11941, 
/* msg =   3144, deg = 10 */    344,    549,    953,   1244,   1614,   1969,   6057,   6921,  11941,  11942, 
/* msg =   3145, deg = 10 */    139,    605,    982,   1437,   1553,   2525,   4591,   8197,  11942,  11943, 
/* msg =   3146, deg = 10 */    175,    525,    940,   1210,   1602,   2806,   5429,   8389,  11943,  11944, 
/* msg =   3147, deg = 10 */    271,    599,    738,   1262,   1555,   2337,   5764,   6647,  11944,  11945, 
/* msg =   3148, deg = 10 */    246,    610,    921,   1320,   1535,   2118,   4379,   8442,  11945,  11946, 
/* msg =   3149, deg = 10 */    137,    663,    743,   1438,   1589,   2320,   5112,   6197,  11946,  11947, 
/* msg =   3150, deg = 10 */    156,    531,    906,   1139,   1610,   2705,   3757,   6346,  11947,  11948, 
/* msg =   3151, deg = 10 */     54,    428,   1009,   1168,   1540,   2391,   4856,   6313,  11948,  11949, 
/* msg =   3152, deg = 10 */    304,    567,   1002,   1271,   1751,   3069,   5391,   7752,  11949,  11950, 
/* msg =   3153, deg = 10 */    317,    643,   1033,   1124,   1597,   1958,   4133,   6672,  11950,  11951, 
/* msg =   3154, deg = 10 */     96,    388,    890,   1238,   1614,   3421,   5597,   6759,  11951,  11952, 
/* msg =   3155, deg = 10 */     56,    607,    879,   1362,   1710,   3403,   3860,   7985,  11952,  11953, 
/* msg =   3156, deg = 10 */    186,    541,    967,   1244,   1646,   3130,   3940,   7366,  11954,  11955, 
/* msg =   3157, deg = 10 */    178,    519,    745,   1140,   1626,   2703,   3999,   7742,  11955,  11956, 
/* msg =   3158, deg = 10 */    313,    427,    883,   1151,   1603,   2887,   4748,   8425,  11956,  11957, 
/* msg =   3159, deg = 10 */    296,    522,    895,   1276,   1460,   2433,   4849,   7617,  11957,  11958, 
/* msg =   3160, deg = 10 */    280,    545,    961,   1105,   1739,   2124,   5066,   7930,  11958,  11959, 
/* msg =   3161, deg = 10 */     64,    540,    951,   1317,   1603,   3154,   4566,   7005,  11959,  11960, 
/* msg =   3162, deg = 10 */    130,    433,    959,   1275,   1566,   3468,   4221,   7032,  11960,  11961, 
/* msg =   3163, deg = 10 */     63,    522,    981,   1282,   1559,   3263,   5418,   7359,  11961,  11962, 
/* msg =   3164, deg = 10 */    345,    550,    954,   1245,   1615,   1970,   6058,   6922,  11962,  11963, 
/* msg =   3165, deg = 10 */    140,    606,    983,   1438,   1554,   2526,   4592,   8198,  11963,  11964, 
/* msg =   3166, deg = 10 */    176,    526,    941,   1211,   1603,   2807,   5430,   8390,  11964,  11965, 
/* msg =   3167, deg = 10 */    272,    600,    739,   1263,   1556,   2338,   5765,   6648,  11965,  11966, 
/* msg =   3168, deg = 10 */    247,    611,    922,   1321,   1536,   2119,   4380,   8443,  11966,  11967, 
/* msg =   3169, deg = 10 */    138,    664,    744,   1439,   1590,   2321,   5113,   6198,  11967,  11968, 
/* msg =   3170, deg = 10 */    157,    532,    907,   1140,   1611,   2706,   3758,   6347,  11968,  11969, 
/* msg =   3171, deg = 10 */     55,    429,   1010,   1169,   1541,   2392,   4857,   6314,  11969,  11970, 
/* msg =   3172, deg = 10 */    305,    568,   1003,   1272,   1752,   3070,   5392,   7753,  11970,  11971, 
/* msg =   3173, deg = 10 */    318,    644,   1034,   1125,   1598,   1959,   4134,   6673,  11971,  11972, 
/* msg =   3174, deg = 10 */     97,    389,    891,   1239,   1615,   3422,   5598,   6760,  11972,  11973, 
/* msg =   3175, deg = 10 */     57,    608,    880,   1363,   1711,   3404,   3861,   7986,  11973,  11974, 
/* msg =   3176, deg = 10 */    187,    542,    968,   1245,   1647,   3131,   3941,   7367,  11975,  11976, 
/* msg =   3177, deg = 10 */    179,    520,    746,   1141,   1627,   2704,   4000,   7743,  11976,  11977, 
/* msg =   3178, deg = 10 */    314,    428,    884,   1152,   1604,   2888,   4749,   8426,  11977,  11978, 
/* msg =   3179, deg = 10 */    297,    523,    896,   1277,   1461,   2434,   4850,   7618,  11978,  11979, 
/* msg =   3180, deg = 10 */    281,    546,    962,   1106,   1740,   2125,   5067,   7931,  11979,  11980, 
/* msg =   3181, deg = 10 */     65,    541,    952,   1318,   1604,   3155,   4567,   7006,  11980,  11981, 
/* msg =   3182, deg = 10 */    131,    434,    960,   1276,   1567,   3469,   4222,   7033,  11981,  11982, 
/* msg =   3183, deg = 10 */     64,    523,    982,   1283,   1560,   3264,   5419,   7360,  11982,  11983, 
/* msg =   3184, deg = 10 */    346,    551,    955,   1246,   1616,   1971,   6059,   6923,  11983,  11984, 
/* msg =   3185, deg = 10 */    141,    607,    984,   1439,   1555,   2527,   4593,   8199,  11984,  11985, 
/* msg =   3186, deg = 10 */    177,    527,    942,   1212,   1604,   2808,   5431,   8391,  11985,  11986, 
/* msg =   3187, deg = 10 */    273,    601,    740,   1264,   1557,   2339,   5766,   6649,  11986,  11987, 
/* msg =   3188, deg = 10 */    248,    612,    923,   1322,   1537,   2120,   4381,   8444,  11987,  11988, 
/* msg =   3189, deg = 10 */    139,    665,    745,   1080,   1591,   2322,   5114,   6199,  11988,  11989, 
/* msg =   3190, deg = 10 */    158,    533,    908,   1141,   1612,   2707,   3759,   6348,  11989,  11990, 
/* msg =   3191, deg = 10 */     56,    430,   1011,   1170,   1542,   2393,   4858,   6315,  11990,  11991, 
/* msg =   3192, deg = 10 */    306,    569,   1004,   1273,   1753,   3071,   5393,   7754,  11991,  11992, 
/* msg =   3193, deg = 10 */    319,    645,   1035,   1126,   1599,   1960,   4135,   6674,  11992,  11993, 
/* msg =   3194, deg = 10 */     98,    390,    892,   1240,   1616,   3423,   5599,   6761,  11993,  11994, 
/* msg =   3195, deg = 10 */     58,    609,    881,   1364,   1712,   3405,   3862,   7987,  11994,  11995, 
/* msg =   3196, deg = 10 */    188,    543,    969,   1246,   1648,   3132,   3942,   7368,  11996,  11997, 
/* msg =   3197, deg = 10 */    180,    521,    747,   1142,   1628,   2705,   4001,   7744,  11997,  11998, 
/* msg =   3198, deg = 10 */    315,    429,    885,   1153,   1605,   2889,   4750,   8427,  11998,  11999, 
/* msg =   3199, deg = 10 */    298,    524,    897,   1278,   1462,   2435,   4851,   7619,  11999,  12000, 
/* msg =   3200, deg = 10 */    282,    547,    963,   1107,   1741,   2126,   5068,   7932,  12000,  12001, 
/* msg =   3201, deg = 10 */     66,    542,    953,   1319,   1605,   3156,   4568,   7007,  12001,  12002, 
/* msg =   3202, deg = 10 */    132,    435,    961,   1277,   1568,   3470,   4223,   7034,  12002,  12003, 
/* msg =   3203, deg = 10 */     65,    524,    983,   1284,   1561,   3265,   5420,   7361,  12003,  12004, 
/* msg =   3204, deg = 10 */    347,    552,    956,   1247,   1617,   1972,   6060,   6924,  12004,  12005, 
/* msg =   3205, deg = 10 */    142,    608,    985,   1080,   1556,   2528,   4594,   8200,  12005,  12006, 
/* msg =   3206, deg = 10 */    178,    528,    943,   1213,   1605,   2809,   5432,   8392,  12006,  12007, 
/* msg =   3207, deg = 10 */    274,    602,    741,   1265,   1558,   2340,   5767,   6650,  12007,  12008, 
/* msg =   3208, deg = 10 */    249,    613,    924,   1323,   1538,   2121,   4382,   8445,  12008,  12009, 
/* msg =   3209, deg = 10 */    140,    666,    746,   1081,   1592,   2323,   5115,   6200,  12009,  12010, 
/* msg =   3210, deg = 10 */    159,    534,    909,   1142,   1613,   2708,   3760,   6349,  12010,  12011, 
/* msg =   3211, deg = 10 */     57,    431,   1012,   1171,   1543,   2394,   4859,   6316,  12011,  12012, 
/* msg =   3212, deg = 10 */    307,    570,   1005,   1274,   1754,   3072,   5394,   7755,  12012,  12013, 
/* msg =   3213, deg = 10 */    320,    646,   1036,   1127,   1600,   1961,   4136,   6675,  12013,  12014, 
/* msg =   3214, deg = 10 */     99,    391,    893,   1241,   1617,   3424,   5600,   6762,  12014,  12015, 
/* msg =   3215, deg = 10 */     59,    610,    882,   1365,   1713,   3406,   3863,   7988,  12015,  12016, 
/* msg =   3216, deg = 10 */    189,    544,    970,   1247,   1649,   3133,   3943,   7369,  12017,  12018, 
/* msg =   3217, deg = 10 */    181,    522,    748,   1143,   1629,   2706,   4002,   7745,  12018,  12019, 
/* msg =   3218, deg = 10 */    316,    430,    886,   1154,   1606,   2890,   4751,   8428,  12019,  12020, 
/* msg =   3219, deg = 10 */    299,    525,    898,   1279,   1463,   2436,   4852,   7620,  12020,  12021, 
/* msg =   3220, deg = 10 */    283,    548,    964,   1108,   1742,   2127,   5069,   7933,  12021,  12022, 
/* msg =   3221, deg = 10 */     67,    543,    954,   1320,   1606,   3157,   4569,   7008,  12022,  12023, 
/* msg =   3222, deg = 10 */    133,    436,    962,   1278,   1569,   3471,   4224,   7035,  12023,  12024, 
/* msg =   3223, deg = 10 */     66,    525,    984,   1285,   1562,   3266,   5421,   7362,  12024,  12025, 
/* msg =   3224, deg = 10 */    348,    553,    957,   1248,   1618,   1973,   6061,   6925,  12025,  12026, 
/* msg =   3225, deg = 10 */    143,    609,    986,   1081,   1557,   2529,   4595,   8201,  12026,  12027, 
/* msg =   3226, deg = 10 */    179,    529,    944,   1214,   1606,   2810,   5433,   8393,  12027,  12028, 
/* msg =   3227, deg = 10 */    275,    603,    742,   1266,   1559,   2341,   5768,   6651,  12028,  12029, 
/* msg =   3228, deg = 10 */    250,    614,    925,   1324,   1539,   2122,   4383,   8446,  12029,  12030, 
/* msg =   3229, deg = 10 */    141,    667,    747,   1082,   1593,   2324,   5116,   6201,  12030,  12031, 
/* msg =   3230, deg = 10 */    160,    535,    910,   1143,   1614,   2709,   3761,   6350,  12031,  12032, 
/* msg =   3231, deg = 10 */     58,    432,   1013,   1172,   1544,   2395,   4860,   6317,  12032,  12033, 
/* msg =   3232, deg = 10 */    308,    571,   1006,   1275,   1755,   3073,   5395,   7756,  12033,  12034, 
/* msg =   3233, deg = 10 */    321,    647,   1037,   1128,   1601,   1962,   4137,   6676,  12034,  12035, 
/* msg =   3234, deg = 10 */    100,    392,    894,   1242,   1618,   3425,   5601,   6763,  12035,  12036, 
/* msg =   3235, deg = 10 */     60,    611,    883,   1366,   1714,   3407,   3864,   7989,  12036,  12037, 
/* msg =   3236, deg = 10 */    190,    545,    971,   1248,   1650,   3134,   3944,   7370,  12038,  12039, 
/* msg =   3237, deg = 10 */    182,    523,    749,   1144,   1630,   2707,   4003,   7746,  12039,  12040, 
/* msg =   3238, deg = 10 */    317,    431,    887,   1155,   1607,   2891,   4752,   8429,  12040,  12041, 
/* msg =   3239, deg = 10 */    300,    526,    899,   1280,   1464,   2437,   4853,   7621,  12041,  12042, 
/* msg =   3240, deg = 10 */    284,    549,    965,   1109,   1743,   2128,   5070,   7934,  12042,  12043, 
/* msg =   3241, deg = 10 */     68,    544,    955,   1321,   1607,   3158,   4570,   7009,  12043,  12044, 
/* msg =   3242, deg = 10 */    134,    437,    963,   1279,   1570,   3472,   4225,   7036,  12044,  12045, 
/* msg =   3243, deg = 10 */     67,    526,    985,   1286,   1563,   3267,   5422,   7363,  12045,  12046, 
/* msg =   3244, deg = 10 */    349,    554,    958,   1249,   1619,   1974,   6062,   6926,  12046,  12047, 
/* msg =   3245, deg = 10 */    144,    610,    987,   1082,   1558,   2530,   4596,   8202,  12047,  12048, 
/* msg =   3246, deg = 10 */    180,    530,    945,   1215,   1607,   2811,   5434,   8394,  12048,  12049, 
/* msg =   3247, deg = 10 */    276,    604,    743,   1267,   1560,   2342,   5769,   6652,  12049,  12050, 
/* msg =   3248, deg = 10 */    251,    615,    926,   1325,   1540,   2123,   4384,   8447,  12050,  12051, 
/* msg =   3249, deg = 10 */    142,    668,    748,   1083,   1594,   2325,   5117,   6202,  12051,  12052, 
/* msg =   3250, deg = 10 */    161,    536,    911,   1144,   1615,   2710,   3762,   6351,  12052,  12053, 
/* msg =   3251, deg = 10 */     59,    433,   1014,   1173,   1545,   2396,   4861,   6318,  12053,  12054, 
/* msg =   3252, deg = 10 */    309,    572,   1007,   1276,   1756,   3074,   5396,   7757,  12054,  12055, 
/* msg =   3253, deg = 10 */    322,    648,   1038,   1129,   1602,   1963,   4138,   6677,  12055,  12056, 
/* msg =   3254, deg = 10 */    101,    393,    895,   1243,   1619,   3426,   5602,   6764,  12056,  12057, 
/* msg =   3255, deg = 10 */     61,    612,    884,   1367,   1715,   3408,   3865,   7990,  12057,  12058, 
/* msg =   3256, deg = 10 */    191,    546,    972,   1249,   1651,   3135,   3945,   7371,  12059,  12060, 
/* msg =   3257, deg = 10 */    183,    524,    750,   1145,   1631,   2708,   4004,   7747,  12060,  12061, 
/* msg =   3258, deg = 10 */    318,    432,    888,   1156,   1608,   2892,   4753,   8430,  12061,  12062, 
/* msg =   3259, deg = 10 */    301,    527,    900,   1281,   1465,   2438,   4854,   7622,  12062,  12063, 
/* msg =   3260, deg = 10 */    285,    550,    966,   1110,   1744,   2129,   5071,   7935,  12063,  12064, 
/* msg =   3261, deg = 10 */     69,    545,    956,   1322,   1608,   3159,   4571,   7010,  12064,  12065, 
/* msg =   3262, deg = 10 */    135,    438,    964,   1280,   1571,   3473,   4226,   7037,  12065,  12066, 
/* msg =   3263, deg = 10 */     68,    527,    986,   1287,   1564,   3268,   5423,   7364,  12066,  12067, 
/* msg =   3264, deg = 10 */    350,    555,    959,   1250,   1620,   1975,   6063,   6927,  12067,  12068, 
/* msg =   3265, deg = 10 */    145,    611,    988,   1083,   1559,   2531,   4597,   8203,  12068,  12069, 
/* msg =   3266, deg = 10 */    181,    531,    946,   1216,   1608,   2812,   5435,   8395,  12069,  12070, 
/* msg =   3267, deg = 10 */    277,    605,    744,   1268,   1561,   2343,   5770,   6653,  12070,  12071, 
/* msg =   3268, deg = 10 */    252,    616,    927,   1326,   1541,   2124,   4385,   8448,  12071,  12072, 
/* msg =   3269, deg = 10 */    143,    669,    749,   1084,   1595,   2326,   5118,   6203,  12072,  12073, 
/* msg =   3270, deg = 10 */    162,    537,    912,   1145,   1616,   2711,   3763,   6352,  12073,  12074, 
/* msg =   3271, deg = 10 */     60,    434,   1015,   1174,   1546,   2397,   4862,   6319,  12074,  12075, 
/* msg =   3272, deg = 10 */    310,    573,   1008,   1277,   1757,   3075,   5397,   7758,  12075,  12076, 
/* msg =   3273, deg = 10 */    323,    649,   1039,   1130,   1603,   1964,   4139,   6678,  12076,  12077, 
/* msg =   3274, deg = 10 */    102,    394,    896,   1244,   1620,   3427,   5603,   6765,  12077,  12078, 
/* msg =   3275, deg = 10 */     62,    613,    885,   1368,   1716,   3409,   3866,   7991,  12078,  12079, 
/* msg =   3276, deg = 10 */    192,    547,    973,   1250,   1652,   3136,   3946,   7372,  12080,  12081, 
/* msg =   3277, deg = 10 */    184,    525,    751,   1146,   1632,   2709,   4005,   7748,  12081,  12082, 
/* msg =   3278, deg = 10 */    319,    433,    889,   1157,   1609,   2893,   4754,   8431,  12082,  12083, 
/* msg =   3279, deg = 10 */    302,    528,    901,   1282,   1466,   2439,   4855,   7623,  12083,  12084, 
/* msg =   3280, deg = 10 */    286,    551,    967,   1111,   1745,   2130,   5072,   7936,  12084,  12085, 
/* msg =   3281, deg = 10 */     70,    546,    957,   1323,   1609,   3160,   4572,   7011,  12085,  12086, 
/* msg =   3282, deg = 10 */    136,    439,    965,   1281,   1572,   3474,   4227,   7038,  12086,  12087, 
/* msg =   3283, deg = 10 */     69,    528,    987,   1288,   1565,   3269,   5424,   7365,  12087,  12088, 
/* msg =   3284, deg = 10 */    351,    556,    960,   1251,   1621,   1976,   6064,   6928,  12088,  12089, 
/* msg =   3285, deg = 10 */    146,    612,    989,   1084,   1560,   2532,   4598,   8204,  12089,  12090, 
/* msg =   3286, deg = 10 */    182,    532,    947,   1217,   1609,   2813,   5436,   8396,  12090,  12091, 
/* msg =   3287, deg = 10 */    278,    606,    745,   1269,   1562,   2344,   5771,   6654,  12091,  12092, 
/* msg =   3288, deg = 10 */    253,    617,    928,   1327,   1542,   2125,   4386,   8449,  12092,  12093, 
/* msg =   3289, deg = 10 */    144,    670,    750,   1085,   1596,   2327,   5119,   6204,  12093,  12094, 
/* msg =   3290, deg = 10 */    163,    538,    913,   1146,   1617,   2712,   3764,   6353,  12094,  12095, 
/* msg =   3291, deg = 10 */     61,    435,   1016,   1175,   1547,   2398,   4863,   6320,  12095,  12096, 
/* msg =   3292, deg = 10 */    311,    574,   1009,   1278,   1758,   3076,   5398,   7759,  12096,  12097, 
/* msg =   3293, deg = 10 */    324,    650,   1040,   1131,   1604,   1965,   4140,   6679,  12097,  12098, 
/* msg =   3294, deg = 10 */    103,    395,    897,   1245,   1621,   3428,   5604,   6766,  12098,  12099, 
/* msg =   3295, deg = 10 */     63,    614,    886,   1369,   1717,   3410,   3867,   7992,  12099,  12100, 
/* msg =   3296, deg = 10 */    193,    548,    974,   1251,   1653,   3137,   3947,   7373,  12101,  12102, 
/* msg =   3297, deg = 10 */    185,    526,    752,   1147,   1633,   2710,   4006,   7749,  12102,  12103, 
/* msg =   3298, deg = 10 */    320,    434,    890,   1158,   1610,   2894,   4755,   8432,  12103,  12104, 
/* msg =   3299, deg = 10 */    303,    529,    902,   1283,   1467,   2440,   4856,   7624,  12104,  12105, 
/* msg =   3300, deg = 10 */    287,    552,    968,   1112,   1746,   2131,   5073,   7937,  12105,  12106, 
/* msg =   3301, deg = 10 */     71,    547,    958,   1324,   1610,   3161,   4573,   7012,  12106,  12107, 
/* msg =   3302, deg = 10 */    137,    440,    966,   1282,   1573,   3475,   4228,   7039,  12107,  12108, 
/* msg =   3303, deg = 10 */     70,    529,    988,   1289,   1566,   3270,   5425,   7366,  12108,  12109, 
/* msg =   3304, deg = 10 */    352,    557,    961,   1252,   1622,   1977,   6065,   6929,  12109,  12110, 
/* msg =   3305, deg = 10 */    147,    613,    990,   1085,   1561,   2533,   4599,   8205,  12110,  12111, 
/* msg =   3306, deg = 10 */    183,    533,    948,   1218,   1610,   2814,   5437,   8397,  12111,  12112, 
/* msg =   3307, deg = 10 */    279,    607,    746,   1270,   1563,   2345,   5772,   6655,  12112,  12113, 
/* msg =   3308, deg = 10 */    254,    618,    929,   1328,   1543,   2126,   4387,   8450,  12113,  12114, 
/* msg =   3309, deg = 10 */    145,    671,    751,   1086,   1597,   2328,   5120,   6205,  12114,  12115, 
/* msg =   3310, deg = 10 */    164,    539,    914,   1147,   1618,   2713,   3765,   6354,  12115,  12116, 
/* msg =   3311, deg = 10 */     62,    436,   1017,   1176,   1548,   2399,   4864,   6321,  12116,  12117, 
/* msg =   3312, deg = 10 */    312,    575,   1010,   1279,   1759,   3077,   5399,   7760,  12117,  12118, 
/* msg =   3313, deg = 10 */    325,    651,   1041,   1132,   1605,   1966,   4141,   6680,  12118,  12119, 
/* msg =   3314, deg = 10 */    104,    396,    898,   1246,   1622,   3429,   5605,   6767,  12119,  12120, 
/* msg =   3315, deg = 10 */     64,    615,    887,   1370,   1718,   3411,   3868,   7993,  12120,  12121, 
/* msg =   3316, deg = 10 */    194,    549,    975,   1252,   1654,   3138,   3948,   7374,  12122,  12123, 
/* msg =   3317, deg = 10 */    186,    527,    753,   1148,   1634,   2711,   4007,   7750,  12123,  12124, 
/* msg =   3318, deg = 10 */    321,    435,    891,   1159,   1611,   2895,   4756,   8433,  12124,  12125, 
/* msg =   3319, deg = 10 */    304,    530,    903,   1284,   1468,   2441,   4857,   7625,  12125,  12126, 
/* msg =   3320, deg = 10 */    288,    553,    969,   1113,   1747,   2132,   5074,   7938,  12126,  12127, 
/* msg =   3321, deg = 10 */     72,    548,    959,   1325,   1611,   3162,   4574,   7013,  12127,  12128, 
/* msg =   3322, deg = 10 */    138,    441,    967,   1283,   1574,   3476,   4229,   7040,  12128,  12129, 
/* msg =   3323, deg = 10 */     71,    530,    989,   1290,   1567,   3271,   5426,   7367,  12129,  12130, 
/* msg =   3324, deg = 10 */    353,    558,    962,   1253,   1623,   1978,   6066,   6930,  12130,  12131, 
/* msg =   3325, deg = 10 */    148,    614,    991,   1086,   1562,   2534,   4600,   8206,  12131,  12132, 
/* msg =   3326, deg = 10 */    184,    534,    949,   1219,   1611,   2815,   5438,   8398,  12132,  12133, 
/* msg =   3327, deg = 10 */    280,    608,    747,   1271,   1564,   2346,   5773,   6656,  12133,  12134, 
/* msg =   3328, deg = 10 */    255,    619,    930,   1329,   1544,   2127,   4388,   8451,  12134,  12135, 
/* msg =   3329, deg = 10 */    146,    672,    752,   1087,   1598,   2329,   5121,   6206,  12135,  12136, 
/* msg =   3330, deg = 10 */    165,    540,    915,   1148,   1619,   2714,   3766,   6355,  12136,  12137, 
/* msg =   3331, deg = 10 */     63,    437,   1018,   1177,   1549,   2400,   4865,   6322,  12137,  12138, 
/* msg =   3332, deg = 10 */    313,    576,   1011,   1280,   1760,   3078,   5040,   7761,  12138,  12139, 
/* msg =   3333, deg = 10 */    326,    652,   1042,   1133,   1606,   1967,   4142,   6681,  12139,  12140, 
/* msg =   3334, deg = 10 */    105,    397,    899,   1247,   1623,   3430,   5606,   6768,  12140,  12141, 
/* msg =   3335, deg = 10 */     65,    616,    888,   1371,   1719,   3412,   3869,   7994,  12141,  12142, 
/* msg =   3336, deg = 10 */    195,    550,    976,   1253,   1655,   3139,   3949,   7375,  12143,  12144, 
/* msg =   3337, deg = 10 */    187,    528,    754,   1149,   1635,   2712,   4008,   7751,  12144,  12145, 
/* msg =   3338, deg = 10 */    322,    436,    892,   1160,   1612,   2896,   4757,   8434,  12145,  12146, 
/* msg =   3339, deg = 10 */    305,    531,    904,   1285,   1469,   2442,   4858,   7626,  12146,  12147, 
/* msg =   3340, deg = 10 */    289,    554,    970,   1114,   1748,   2133,   5075,   7939,  12147,  12148, 
/* msg =   3341, deg = 10 */     73,    549,    960,   1326,   1612,   3163,   4575,   7014,  12148,  12149, 
/* msg =   3342, deg = 10 */    139,    442,    968,   1284,   1575,   3477,   4230,   7041,  12149,  12150, 
/* msg =   3343, deg = 10 */     72,    531,    990,   1291,   1568,   3272,   5427,   7368,  12150,  12151, 
/* msg =   3344, deg = 10 */    354,    559,    963,   1254,   1624,   1979,   6067,   6931,  12151,  12152, 
/* msg =   3345, deg = 10 */    149,    615,    992,   1087,   1563,   2535,   4601,   8207,  12152,  12153, 
/* msg =   3346, deg = 10 */    185,    535,    950,   1220,   1612,   2816,   5439,   8399,  12153,  12154, 
/* msg =   3347, deg = 10 */    281,    609,    748,   1272,   1565,   2347,   5774,   6657,  12154,  12155, 
/* msg =   3348, deg = 10 */    256,    620,    931,   1330,   1545,   2128,   4389,   8452,  12155,  12156, 
/* msg =   3349, deg = 10 */    147,    673,    753,   1088,   1599,   2330,   5122,   6207,  12156,  12157, 
/* msg =   3350, deg = 10 */    166,    541,    916,   1149,   1620,   2715,   3767,   6356,  12157,  12158, 
/* msg =   3351, deg = 10 */     64,    438,   1019,   1178,   1550,   2401,   4866,   6323,  12158,  12159, 
/* msg =   3352, deg = 10 */    314,    577,   1012,   1281,   1761,   3079,   5041,   7762,  12159,  12160, 
/* msg =   3353, deg = 10 */    327,    653,   1043,   1134,   1607,   1968,   4143,   6682,  12160,  12161, 
/* msg =   3354, deg = 10 */    106,    398,    900,   1248,   1624,   3431,   5607,   6769,  12161,  12162, 
/* msg =   3355, deg = 10 */     66,    617,    889,   1372,   1720,   3413,   3870,   7995,  12162,  12163, 
/* msg =   3356, deg = 10 */    196,    551,    977,   1254,   1656,   3140,   3950,   7376,  12164,  12165, 
/* msg =   3357, deg = 10 */    188,    529,    755,   1150,   1636,   2713,   4009,   7752,  12165,  12166, 
/* msg =   3358, deg = 10 */    323,    437,    893,   1161,   1613,   2897,   4758,   8435,  12166,  12167, 
/* msg =   3359, deg = 10 */    306,    532,    905,   1286,   1470,   2443,   4859,   7627,  12167,  12168, 
/* msg =   3360, deg = 10 */    290,    555,    971,   1115,   1749,   2134,   5076,   7940,  12168,  12169, 
/* msg =   3361, deg = 10 */     74,    550,    961,   1327,   1613,   3164,   4576,   7015,  12169,  12170, 
/* msg =   3362, deg = 10 */    140,    443,    969,   1285,   1576,   3478,   4231,   7042,  12170,  12171, 
/* msg =   3363, deg = 10 */     73,    532,    991,   1292,   1569,   3273,   5428,   7369,  12171,  12172, 
/* msg =   3364, deg = 10 */    355,    560,    964,   1255,   1625,   1980,   6068,   6932,  12172,  12173, 
/* msg =   3365, deg = 10 */    150,    616,    993,   1088,   1564,   2536,   4602,   8208,  12173,  12174, 
/* msg =   3366, deg = 10 */    186,    536,    951,   1221,   1613,   2817,   5440,   8400,  12174,  12175, 
/* msg =   3367, deg = 10 */    282,    610,    749,   1273,   1566,   2348,   5775,   6658,  12175,  12176, 
/* msg =   3368, deg = 10 */    257,    621,    932,   1331,   1546,   2129,   4390,   8453,  12176,  12177, 
/* msg =   3369, deg = 10 */    148,    674,    754,   1089,   1600,   2331,   5123,   6208,  12177,  12178, 
/* msg =   3370, deg = 10 */    167,    542,    917,   1150,   1621,   2716,   3768,   6357,  12178,  12179, 
/* msg =   3371, deg = 10 */     65,    439,   1020,   1179,   1551,   2402,   4867,   6324,  12179,  12180, 
/* msg =   3372, deg = 10 */    315,    578,   1013,   1282,   1762,   3080,   5042,   7763,  12180,  12181, 
/* msg =   3373, deg = 10 */    328,    654,   1044,   1135,   1608,   1969,   4144,   6683,  12181,  12182, 
/* msg =   3374, deg = 10 */    107,    399,    901,   1249,   1625,   3432,   5608,   6770,  12182,  12183, 
/* msg =   3375, deg = 10 */     67,    618,    890,   1373,   1721,   3414,   3871,   7996,  12183,  12184, 
/* msg =   3376, deg = 10 */    197,    552,    978,   1255,   1657,   3141,   3951,   7377,  12185,  12186, 
/* msg =   3377, deg = 10 */    189,    530,    756,   1151,   1637,   2714,   4010,   7753,  12186,  12187, 
/* msg =   3378, deg = 10 */    324,    438,    894,   1162,   1614,   2898,   4759,   8436,  12187,  12188, 
/* msg =   3379, deg = 10 */    307,    533,    906,   1287,   1471,   2444,   4860,   7628,  12188,  12189, 
/* msg =   3380, deg = 10 */    291,    556,    972,   1116,   1750,   2135,   5077,   7941,  12189,  12190, 
/* msg =   3381, deg = 10 */     75,    551,    962,   1328,   1614,   3165,   4577,   7016,  12190,  12191, 
/* msg =   3382, deg = 10 */    141,    444,    970,   1286,   1577,   3479,   4232,   7043,  12191,  12192, 
/* msg =   3383, deg = 10 */     74,    533,    992,   1293,   1570,   3274,   5429,   7370,  12192,  12193, 
/* msg =   3384, deg = 10 */    356,    561,    965,   1256,   1626,   1981,   6069,   6933,  12193,  12194, 
/* msg =   3385, deg = 10 */    151,    617,    994,   1089,   1565,   2537,   4603,   8209,  12194,  12195, 
/* msg =   3386, deg = 10 */    187,    537,    952,   1222,   1614,   2818,   5441,   8401,  12195,  12196, 
/* msg =   3387, deg = 10 */    283,    611,    750,   1274,   1567,   2349,   5776,   6659,  12196,  12197, 
/* msg =   3388, deg = 10 */    258,    622,    933,   1332,   1547,   2130,   4391,   8454,  12197,  12198, 
/* msg =   3389, deg = 10 */    149,    675,    755,   1090,   1601,   2332,   5124,   6209,  12198,  12199, 
/* msg =   3390, deg = 10 */    168,    543,    918,   1151,   1622,   2717,   3769,   6358,  12199,  12200, 
/* msg =   3391, deg = 10 */     66,    440,   1021,   1180,   1552,   2403,   4868,   6325,  12200,  12201, 
/* msg =   3392, deg = 10 */    316,    579,   1014,   1283,   1763,   3081,   5043,   7764,  12201,  12202, 
/* msg =   3393, deg = 10 */    329,    655,   1045,   1136,   1609,   1970,   4145,   6684,  12202,  12203, 
/* msg =   3394, deg = 10 */    108,    400,    902,   1250,   1626,   3433,   5609,   6771,  12203,  12204, 
/* msg =   3395, deg = 10 */     68,    619,    891,   1374,   1722,   3415,   3872,   7997,  12204,  12205, 
/* msg =   3396, deg = 10 */    198,    553,    979,   1256,   1658,   3142,   3952,   7378,  12206,  12207, 
/* msg =   3397, deg = 10 */    190,    531,    757,   1152,   1638,   2715,   4011,   7754,  12207,  12208, 
/* msg =   3398, deg = 10 */    325,    439,    895,   1163,   1615,   2899,   4760,   8437,  12208,  12209, 
/* msg =   3399, deg = 10 */    308,    534,    907,   1288,   1472,   2445,   4861,   7629,  12209,  12210, 
/* msg =   3400, deg = 10 */    292,    557,    973,   1117,   1751,   2136,   5078,   7942,  12210,  12211, 
/* msg =   3401, deg = 10 */     76,    552,    963,   1329,   1615,   3166,   4578,   7017,  12211,  12212, 
/* msg =   3402, deg = 10 */    142,    445,    971,   1287,   1578,   3480,   4233,   7044,  12212,  12213, 
/* msg =   3403, deg = 10 */     75,    534,    993,   1294,   1571,   3275,   5430,   7371,  12213,  12214, 
/* msg =   3404, deg = 10 */    357,    562,    966,   1257,   1627,   1982,   6070,   6934,  12214,  12215, 
/* msg =   3405, deg = 10 */    152,    618,    995,   1090,   1566,   2538,   4604,   8210,  12215,  12216, 
/* msg =   3406, deg = 10 */    188,    538,    953,   1223,   1615,   2819,   5442,   8402,  12216,  12217, 
/* msg =   3407, deg = 10 */    284,    612,    751,   1275,   1568,   2350,   5777,   6660,  12217,  12218, 
/* msg =   3408, deg = 10 */    259,    623,    934,   1333,   1548,   2131,   4392,   8455,  12218,  12219, 
/* msg =   3409, deg = 10 */    150,    676,    756,   1091,   1602,   2333,   5125,   6210,  12219,  12220, 
/* msg =   3410, deg = 10 */    169,    544,    919,   1152,   1623,   2718,   3770,   6359,  12220,  12221, 
/* msg =   3411, deg = 10 */     67,    441,   1022,   1181,   1553,   2404,   4869,   6326,  12221,  12222, 
/* msg =   3412, deg = 10 */    317,    580,   1015,   1284,   1764,   3082,   5044,   7765,  12222,  12223, 
/* msg =   3413, deg = 10 */    330,    656,   1046,   1137,   1610,   1971,   4146,   6685,  12223,  12224, 
/* msg =   3414, deg = 10 */    109,    401,    903,   1251,   1627,   3434,   5610,   6772,  12224,  12225, 
/* msg =   3415, deg = 10 */     69,    620,    892,   1375,   1723,   3416,   3873,   7998,  12225,  12226, 
/* msg =   3416, deg = 10 */    199,    554,    980,   1257,   1659,   3143,   3953,   7379,  12227,  12228, 
/* msg =   3417, deg = 10 */    191,    532,    758,   1153,   1639,   2716,   4012,   7755,  12228,  12229, 
/* msg =   3418, deg = 10 */    326,    440,    896,   1164,   1616,   2900,   4761,   8438,  12229,  12230, 
/* msg =   3419, deg = 10 */    309,    535,    908,   1289,   1473,   2446,   4862,   7630,  12230,  12231, 
/* msg =   3420, deg = 10 */    293,    558,    974,   1118,   1752,   2137,   5079,   7943,  12231,  12232, 
/* msg =   3421, deg = 10 */     77,    553,    964,   1330,   1616,   3167,   4579,   7018,  12232,  12233, 
/* msg =   3422, deg = 10 */    143,    446,    972,   1288,   1579,   3481,   4234,   7045,  12233,  12234, 
/* msg =   3423, deg = 10 */     76,    535,    994,   1295,   1572,   3276,   5431,   7372,  12234,  12235, 
/* msg =   3424, deg = 10 */    358,    563,    967,   1258,   1628,   1983,   6071,   6935,  12235,  12236, 
/* msg =   3425, deg = 10 */    153,    619,    996,   1091,   1567,   2539,   4605,   8211,  12236,  12237, 
/* msg =   3426, deg = 10 */    189,    539,    954,   1224,   1616,   2820,   5443,   8403,  12237,  12238, 
/* msg =   3427, deg = 10 */    285,    613,    752,   1276,   1569,   2351,   5778,   6661,  12238,  12239, 
/* msg =   3428, deg = 10 */    260,    624,    935,   1334,   1549,   2132,   4393,   8456,  12239,  12240, 
/* msg =   3429, deg = 10 */    151,    677,    757,   1092,   1603,   2334,   5126,   6211,  12240,  12241, 
/* msg =   3430, deg = 10 */    170,    545,    920,   1153,   1624,   2719,   3771,   6360,  12241,  12242, 
/* msg =   3431, deg = 10 */     68,    442,   1023,   1182,   1554,   2405,   4870,   6327,  12242,  12243, 
/* msg =   3432, deg = 10 */    318,    581,   1016,   1285,   1765,   3083,   5045,   7766,  12243,  12244, 
/* msg =   3433, deg = 10 */    331,    657,   1047,   1138,   1611,   1972,   4147,   6686,  12244,  12245, 
/* msg =   3434, deg = 10 */    110,    402,    904,   1252,   1628,   3435,   5611,   6773,  12245,  12246, 
/* msg =   3435, deg = 10 */     70,    621,    893,   1376,   1724,   3417,   3874,   7999,  12246,  12247, 
/* msg =   3436, deg = 10 */    200,    555,    981,   1258,   1660,   3144,   3954,   7380,  12248,  12249, 
/* msg =   3437, deg = 10 */    192,    533,    759,   1154,   1640,   2717,   4013,   7756,  12249,  12250, 
/* msg =   3438, deg = 10 */    327,    441,    897,   1165,   1617,   2901,   4762,   8439,  12250,  12251, 
/* msg =   3439, deg = 10 */    310,    536,    909,   1290,   1474,   2447,   4863,   7631,  12251,  12252, 
/* msg =   3440, deg = 10 */    294,    559,    975,   1119,   1753,   2138,   5080,   7944,  12252,  12253, 
/* msg =   3441, deg = 10 */     78,    554,    965,   1331,   1617,   3168,   4580,   7019,  12253,  12254, 
/* msg =   3442, deg = 10 */    144,    447,    973,   1289,   1580,   3482,   4235,   7046,  12254,  12255, 
/* msg =   3443, deg = 10 */     77,    536,    995,   1296,   1573,   3277,   5432,   7373,  12255,  12256, 
/* msg =   3444, deg = 10 */    359,    564,    968,   1259,   1629,   1984,   6072,   6936,  12256,  12257, 
/* msg =   3445, deg = 10 */    154,    620,    997,   1092,   1568,   2540,   4606,   8212,  12257,  12258, 
/* msg =   3446, deg = 10 */    190,    540,    955,   1225,   1617,   2821,   5444,   8404,  12258,  12259, 
/* msg =   3447, deg = 10 */    286,    614,    753,   1277,   1570,   2352,   5779,   6662,  12259,  12260, 
/* msg =   3448, deg = 10 */    261,    625,    936,   1335,   1550,   2133,   4394,   8457,  12260,  12261, 
/* msg =   3449, deg = 10 */    152,    678,    758,   1093,   1604,   2335,   5127,   6212,  12261,  12262, 
/* msg =   3450, deg = 10 */    171,    546,    921,   1154,   1625,   2720,   3772,   6361,  12262,  12263, 
/* msg =   3451, deg = 10 */     69,    443,   1024,   1183,   1555,   2406,   4871,   6328,  12263,  12264, 
/* msg =   3452, deg = 10 */    319,    582,   1017,   1286,   1766,   3084,   5046,   7767,  12264,  12265, 
/* msg =   3453, deg = 10 */    332,    658,   1048,   1139,   1612,   1973,   4148,   6687,  12265,  12266, 
/* msg =   3454, deg = 10 */    111,    403,    905,   1253,   1629,   3436,   5612,   6774,  12266,  12267, 
/* msg =   3455, deg = 10 */     71,    622,    894,   1377,   1725,   3418,   3875,   8000,  12267,  12268, 
/* msg =   3456, deg = 10 */    201,    556,    982,   1259,   1661,   3145,   3955,   7381,  12269,  12270, 
/* msg =   3457, deg = 10 */    193,    534,    760,   1155,   1641,   2718,   4014,   7757,  12270,  12271, 
/* msg =   3458, deg = 10 */    328,    442,    898,   1166,   1618,   2902,   4763,   8440,  12271,  12272, 
/* msg =   3459, deg = 10 */    311,    537,    910,   1291,   1475,   2448,   4864,   7632,  12272,  12273, 
/* msg =   3460, deg = 10 */    295,    560,    976,   1120,   1754,   2139,   5081,   7945,  12273,  12274, 
/* msg =   3461, deg = 10 */     79,    555,    966,   1332,   1618,   3169,   4581,   7020,  12274,  12275, 
/* msg =   3462, deg = 10 */    145,    448,    974,   1290,   1581,   3483,   4236,   7047,  12275,  12276, 
/* msg =   3463, deg = 10 */     78,    537,    996,   1297,   1574,   3278,   5433,   7374,  12276,  12277, 
/* msg =   3464, deg = 10 */      0,    565,    969,   1260,   1630,   1985,   6073,   6937,  12277,  12278, 
/* msg =   3465, deg = 10 */    155,    621,    998,   1093,   1569,   2541,   4607,   8213,  12278,  12279, 
/* msg =   3466, deg = 10 */    191,    541,    956,   1226,   1618,   2822,   5445,   8405,  12279,  12280, 
/* msg =   3467, deg = 10 */    287,    615,    754,   1278,   1571,   2353,   5780,   6663,  12280,  12281, 
/* msg =   3468, deg = 10 */    262,    626,    937,   1336,   1551,   2134,   4395,   8458,  12281,  12282, 
/* msg =   3469, deg = 10 */    153,    679,    759,   1094,   1605,   2336,   5128,   6213,  12282,  12283, 
/* msg =   3470, deg = 10 */    172,    547,    922,   1155,   1626,   2721,   3773,   6362,  12283,  12284, 
/* msg =   3471, deg = 10 */     70,    444,   1025,   1184,   1556,   2407,   4872,   6329,  12284,  12285, 
/* msg =   3472, deg = 10 */    320,    583,   1018,   1287,   1767,   3085,   5047,   7768,  12285,  12286, 
/* msg =   3473, deg = 10 */    333,    659,   1049,   1140,   1613,   1974,   4149,   6688,  12286,  12287, 
/* msg =   3474, deg = 10 */    112,    404,    906,   1254,   1630,   3437,   5613,   6775,  12287,  12288, 
/* msg =   3475, deg = 10 */     72,    623,    895,   1378,   1726,   3419,   3876,   8001,  12288,  12289, 
/* msg =   3476, deg = 10 */    202,    557,    983,   1260,   1662,   3146,   3956,   7382,  12290,  12291, 
/* msg =   3477, deg = 10 */    194,    535,    761,   1156,   1642,   2719,   4015,   7758,  12291,  12292, 
/* msg =   3478, deg = 10 */    329,    443,    899,   1167,   1619,   2903,   4764,   8441,  12292,  12293, 
/* msg =   3479, deg = 10 */    312,    538,    911,   1292,   1476,   2449,   4865,   7633,  12293,  12294, 
/* msg =   3480, deg = 10 */    296,    561,    977,   1121,   1755,   2140,   5082,   7946,  12294,  12295, 
/* msg =   3481, deg = 10 */     80,    556,    967,   1333,   1619,   3170,   4582,   7021,  12295,  12296, 
/* msg =   3482, deg = 10 */    146,    449,    975,   1291,   1582,   3484,   4237,   7048,  12296,  12297, 
/* msg =   3483, deg = 10 */     79,    538,    997,   1298,   1575,   3279,   5434,   7375,  12297,  12298, 
/* msg =   3484, deg = 10 */      1,    566,    970,   1261,   1631,   1986,   6074,   6938,  12298,  12299, 
/* msg =   3485, deg = 10 */    156,    622,    999,   1094,   1570,   2542,   4608,   8214,  12299,  12300, 
/* msg =   3486, deg = 10 */    192,    542,    957,   1227,   1619,   2823,   5446,   8406,  12300,  12301, 
/* msg =   3487, deg = 10 */    288,    616,    755,   1279,   1572,   2354,   5781,   6664,  12301,  12302, 
/* msg =   3488, deg = 10 */    263,    627,    938,   1337,   1552,   2135,   4396,   8459,  12302,  12303, 
/* msg =   3489, deg = 10 */    154,    680,    760,   1095,   1606,   2337,   5129,   6214,  12303,  12304, 
/* msg =   3490, deg = 10 */    173,    548,    923,   1156,   1627,   2722,   3774,   6363,  12304,  12305, 
/* msg =   3491, deg = 10 */     71,    445,   1026,   1185,   1557,   2408,   4873,   6330,  12305,  12306, 
/* msg =   3492, deg = 10 */    321,    584,   1019,   1288,   1768,   3086,   5048,   7769,  12306,  12307, 
/* msg =   3493, deg = 10 */    334,    660,   1050,   1141,   1614,   1975,   4150,   6689,  12307,  12308, 
/* msg =   3494, deg = 10 */    113,    405,    907,   1255,   1631,   3438,   5614,   6776,  12308,  12309, 
/* msg =   3495, deg = 10 */     73,    624,    896,   1379,   1727,   3420,   3877,   8002,  12309,  12310, 
/* msg =   3496, deg = 10 */    203,    558,    984,   1261,   1663,   3147,   3957,   7383,  12311,  12312, 
/* msg =   3497, deg = 10 */    195,    536,    762,   1157,   1643,   2720,   4016,   7759,  12312,  12313, 
/* msg =   3498, deg = 10 */    330,    444,    900,   1168,   1620,   2904,   4765,   8442,  12313,  12314, 
/* msg =   3499, deg = 10 */    313,    539,    912,   1293,   1477,   2450,   4866,   7634,  12314,  12315, 
/* msg =   3500, deg = 10 */    297,    562,    978,   1122,   1756,   2141,   5083,   7947,  12315,  12316, 
/* msg =   3501, deg = 10 */     81,    557,    968,   1334,   1620,   3171,   4583,   7022,  12316,  12317, 
/* msg =   3502, deg = 10 */    147,    450,    976,   1292,   1583,   3485,   4238,   7049,  12317,  12318, 
/* msg =   3503, deg = 10 */     80,    539,    998,   1299,   1576,   3280,   5435,   7376,  12318,  12319, 
/* msg =   3504, deg = 10 */      2,    567,    971,   1262,   1632,   1987,   6075,   6939,  12319,  12320, 
/* msg =   3505, deg = 10 */    157,    623,   1000,   1095,   1571,   2543,   4609,   8215,  12320,  12321, 
/* msg =   3506, deg = 10 */    193,    543,    958,   1228,   1620,   2824,   5447,   8407,  12321,  12322, 
/* msg =   3507, deg = 10 */    289,    617,    756,   1280,   1573,   2355,   5782,   6665,  12322,  12323, 
/* msg =   3508, deg = 10 */    264,    628,    939,   1338,   1553,   2136,   4397,   8460,  12323,  12324, 
/* msg =   3509, deg = 10 */    155,    681,    761,   1096,   1607,   2338,   5130,   6215,  12324,  12325, 
/* msg =   3510, deg = 10 */    174,    549,    924,   1157,   1628,   2723,   3775,   6364,  12325,  12326, 
/* msg =   3511, deg = 10 */     72,    446,   1027,   1186,   1558,   2409,   4874,   6331,  12326,  12327, 
/* msg =   3512, deg = 10 */    322,    585,   1020,   1289,   1769,   3087,   5049,   7770,  12327,  12328, 
/* msg =   3513, deg = 10 */    335,    661,   1051,   1142,   1615,   1976,   4151,   6690,  12328,  12329, 
/* msg =   3514, deg = 10 */    114,    406,    908,   1256,   1632,   3439,   5615,   6777,  12329,  12330, 
/* msg =   3515, deg = 10 */     74,    625,    897,   1380,   1728,   3421,   3878,   8003,  12330,  12331, 
/* msg =   3516, deg = 10 */    204,    559,    985,   1262,   1664,   3148,   3958,   7384,  12332,  12333, 
/* msg =   3517, deg = 10 */    196,    537,    763,   1158,   1644,   2721,   4017,   7760,  12333,  12334, 
/* msg =   3518, deg = 10 */    331,    445,    901,   1169,   1621,   2905,   4766,   8443,  12334,  12335, 
/* msg =   3519, deg = 10 */    314,    540,    913,   1294,   1478,   2451,   4867,   7635,  12335,  12336, 
/* msg =   3520, deg = 10 */    298,    563,    979,   1123,   1757,   2142,   5084,   7948,  12336,  12337, 
/* msg =   3521, deg = 10 */     82,    558,    969,   1335,   1621,   3172,   4584,   7023,  12337,  12338, 
/* msg =   3522, deg = 10 */    148,    451,    977,   1293,   1584,   3486,   4239,   7050,  12338,  12339, 
/* msg =   3523, deg = 10 */     81,    540,    999,   1300,   1577,   3281,   5436,   7377,  12339,  12340, 
/* msg =   3524, deg = 10 */      3,    568,    972,   1263,   1633,   1988,   6076,   6940,  12340,  12341, 
/* msg =   3525, deg = 10 */    158,    624,   1001,   1096,   1572,   2544,   4610,   8216,  12341,  12342, 
/* msg =   3526, deg = 10 */    194,    544,    959,   1229,   1621,   2825,   5448,   8408,  12342,  12343, 
/* msg =   3527, deg = 10 */    290,    618,    757,   1281,   1574,   2356,   5783,   6666,  12343,  12344, 
/* msg =   3528, deg = 10 */    265,    629,    940,   1339,   1554,   2137,   4398,   8461,  12344,  12345, 
/* msg =   3529, deg = 10 */    156,    682,    762,   1097,   1608,   2339,   5131,   6216,  12345,  12346, 
/* msg =   3530, deg = 10 */    175,    550,    925,   1158,   1629,   2724,   3776,   6365,  12346,  12347, 
/* msg =   3531, deg = 10 */     73,    447,   1028,   1187,   1559,   2410,   4875,   6332,  12347,  12348, 
/* msg =   3532, deg = 10 */    323,    586,   1021,   1290,   1770,   3088,   5050,   7771,  12348,  12349, 
/* msg =   3533, deg = 10 */    336,    662,   1052,   1143,   1616,   1977,   4152,   6691,  12349,  12350, 
/* msg =   3534, deg = 10 */    115,    407,    909,   1257,   1633,   3440,   5616,   6778,  12350,  12351, 
/* msg =   3535, deg = 10 */     75,    626,    898,   1381,   1729,   3422,   3879,   8004,  12351,  12352, 
/* msg =   3536, deg = 10 */    205,    560,    986,   1263,   1665,   3149,   3959,   7385,  12353,  12354, 
/* msg =   3537, deg = 10 */    197,    538,    764,   1159,   1645,   2722,   4018,   7761,  12354,  12355, 
/* msg =   3538, deg = 10 */    332,    446,    902,   1170,   1622,   2906,   4767,   8444,  12355,  12356, 
/* msg =   3539, deg = 10 */    315,    541,    914,   1295,   1479,   2452,   4868,   7636,  12356,  12357, 
/* msg =   3540, deg = 10 */    299,    564,    980,   1124,   1758,   2143,   5085,   7949,  12357,  12358, 
/* msg =   3541, deg = 10 */     83,    559,    970,   1336,   1622,   3173,   4585,   7024,  12358,  12359, 
/* msg =   3542, deg = 10 */    149,    452,    978,   1294,   1585,   3487,   4240,   7051,  12359,  12360, 
/* msg =   3543, deg = 10 */     82,    541,   1000,   1301,   1578,   3282,   5437,   7378,  12360,  12361, 
/* msg =   3544, deg = 10 */      4,    569,    973,   1264,   1634,   1989,   6077,   6941,  12361,  12362, 
/* msg =   3545, deg = 10 */    159,    625,   1002,   1097,   1573,   2545,   4611,   8217,  12362,  12363, 
/* msg =   3546, deg = 10 */    195,    545,    960,   1230,   1622,   2826,   5449,   8409,  12363,  12364, 
/* msg =   3547, deg = 10 */    291,    619,    758,   1282,   1575,   2357,   5784,   6667,  12364,  12365, 
/* msg =   3548, deg = 10 */    266,    630,    941,   1340,   1555,   2138,   4399,   8462,  12365,  12366, 
/* msg =   3549, deg = 10 */    157,    683,    763,   1098,   1609,   2340,   5132,   6217,  12366,  12367, 
/* msg =   3550, deg = 10 */    176,    551,    926,   1159,   1630,   2725,   3777,   6366,  12367,  12368, 
/* msg =   3551, deg = 10 */     74,    448,   1029,   1188,   1560,   2411,   4876,   6333,  12368,  12369, 
/* msg =   3552, deg = 10 */    324,    587,   1022,   1291,   1771,   3089,   5051,   7772,  12369,  12370, 
/* msg =   3553, deg = 10 */    337,    663,   1053,   1144,   1617,   1978,   4153,   6692,  12370,  12371, 
/* msg =   3554, deg = 10 */    116,    408,    910,   1258,   1634,   3441,   5617,   6779,  12371,  12372, 
/* msg =   3555, deg = 10 */     76,    627,    899,   1382,   1730,   3423,   3880,   8005,  12372,  12373, 
/* msg =   3556, deg = 10 */    206,    561,    987,   1264,   1666,   3150,   3600,   7386,  12374,  12375, 
/* msg =   3557, deg = 10 */    198,    539,    765,   1160,   1646,   2723,   4019,   7762,  12375,  12376, 
/* msg =   3558, deg = 10 */    333,    447,    903,   1171,   1623,   2907,   4768,   8445,  12376,  12377, 
/* msg =   3559, deg = 10 */    316,    542,    915,   1296,   1480,   2453,   4869,   7637,  12377,  12378, 
/* msg =   3560, deg = 10 */    300,    565,    981,   1125,   1759,   2144,   5086,   7950,  12378,  12379, 
/* msg =   3561, deg = 10 */     84,    560,    971,   1337,   1623,   3174,   4586,   7025,  12379,  12380, 
/* msg =   3562, deg = 10 */    150,    453,    979,   1295,   1586,   3488,   4241,   7052,  12380,  12381, 
/* msg =   3563, deg = 10 */     83,    542,   1001,   1302,   1579,   3283,   5438,   7379,  12381,  12382, 
/* msg =   3564, deg = 10 */      5,    570,    974,   1265,   1635,   1990,   6078,   6942,  12382,  12383, 
/* msg =   3565, deg = 10 */    160,    626,   1003,   1098,   1574,   2546,   4612,   8218,  12383,  12384, 
/* msg =   3566, deg = 10 */    196,    546,    961,   1231,   1623,   2827,   5450,   8410,  12384,  12385, 
/* msg =   3567, deg = 10 */    292,    620,    759,   1283,   1576,   2358,   5785,   6668,  12385,  12386, 
/* msg =   3568, deg = 10 */    267,    631,    942,   1341,   1556,   2139,   4400,   8463,  12386,  12387, 
/* msg =   3569, deg = 10 */    158,    684,    764,   1099,   1610,   2341,   5133,   6218,  12387,  12388, 
/* msg =   3570, deg = 10 */    177,    552,    927,   1160,   1631,   2726,   3778,   6367,  12388,  12389, 
/* msg =   3571, deg = 10 */     75,    449,   1030,   1189,   1561,   2412,   4877,   6334,  12389,  12390, 
/* msg =   3572, deg = 10 */    325,    588,   1023,   1292,   1772,   3090,   5052,   7773,  12390,  12391, 
/* msg =   3573, deg = 10 */    338,    664,   1054,   1145,   1618,   1979,   4154,   6693,  12391,  12392, 
/* msg =   3574, deg = 10 */    117,    409,    911,   1259,   1635,   3442,   5618,   6780,  12392,  12393, 
/* msg =   3575, deg = 10 */     77,    628,    900,   1383,   1731,   3424,   3881,   8006,  12393,  12394, 
/* msg =   3576, deg = 10 */    207,    562,    988,   1265,   1667,   3151,   3601,   7387,  12395,  12396, 
/* msg =   3577, deg = 10 */    199,    540,    766,   1161,   1647,   2724,   4020,   7763,  12396,  12397, 
/* msg =   3578, deg = 10 */    334,    448,    904,   1172,   1624,   2908,   4769,   8446,  12397,  12398, 
/* msg =   3579, deg = 10 */    317,    543,    916,   1297,   1481,   2454,   4870,   7638,  12398,  12399, 
/* msg =   3580, deg = 10 */    301,    566,    982,   1126,   1760,   2145,   5087,   7951,  12399,  12400, 
/* msg =   3581, deg = 10 */     85,    561,    972,   1338,   1624,   3175,   4587,   7026,  12400,  12401, 
/* msg =   3582, deg = 10 */    151,    454,    980,   1296,   1587,   3489,   4242,   7053,  12401,  12402, 
/* msg =   3583, deg = 10 */     84,    543,   1002,   1303,   1580,   3284,   5439,   7380,  12402,  12403, 
/* msg =   3584, deg = 10 */      6,    571,    975,   1266,   1636,   1991,   6079,   6943,  12403,  12404, 
/* msg =   3585, deg = 10 */    161,    627,   1004,   1099,   1575,   2547,   4613,   8219,  12404,  12405, 
/* msg =   3586, deg = 10 */    197,    547,    962,   1232,   1624,   2828,   5451,   8411,  12405,  12406, 
/* msg =   3587, deg = 10 */    293,    621,    760,   1284,   1577,   2359,   5786,   6669,  12406,  12407, 
/* msg =   3588, deg = 10 */    268,    632,    943,   1342,   1557,   2140,   4401,   8464,  12407,  12408, 
/* msg =   3589, deg = 10 */    159,    685,    765,   1100,   1611,   2342,   5134,   6219,  12408,  12409, 
/* msg =   3590, deg = 10 */    178,    553,    928,   1161,   1632,   2727,   3779,   6368,  12409,  12410, 
/* msg =   3591, deg = 10 */     76,    450,   1031,   1190,   1562,   2413,   4878,   6335,  12410,  12411, 
/* msg =   3592, deg = 10 */    326,    589,   1024,   1293,   1773,   3091,   5053,   7774,  12411,  12412, 
/* msg =   3593, deg = 10 */    339,    665,   1055,   1146,   1619,   1980,   4155,   6694,  12412,  12413, 
/* msg =   3594, deg = 10 */    118,    410,    912,   1260,   1636,   3443,   5619,   6781,  12413,  12414, 
/* msg =   3595, deg = 10 */     78,    629,    901,   1384,   1732,   3425,   3882,   8007,  12414,  12415, 
/* msg =   3596, deg = 10 */    208,    563,    989,   1266,   1668,   3152,   3602,   7388,  12416,  12417, 
/* msg =   3597, deg = 10 */    200,    541,    767,   1162,   1648,   2725,   4021,   7764,  12417,  12418, 
/* msg =   3598, deg = 10 */    335,    449,    905,   1173,   1625,   2909,   4770,   8447,  12418,  12419, 
/* msg =   3599, deg = 10 */    318,    544,    917,   1298,   1482,   2455,   4871,   7639,  12419,  12420, 
/* msg =   3600, deg = 10 */    302,    567,    983,   1127,   1761,   2146,   5088,   7952,  12420,  12421, 
/* msg =   3601, deg = 10 */     86,    562,    973,   1339,   1625,   3176,   4588,   7027,  12421,  12422, 
/* msg =   3602, deg = 10 */    152,    455,    981,   1297,   1588,   3490,   4243,   7054,  12422,  12423, 
/* msg =   3603, deg = 10 */     85,    544,   1003,   1304,   1581,   3285,   5440,   7381,  12423,  12424, 
/* msg =   3604, deg = 10 */      7,    572,    976,   1267,   1637,   1992,   6080,   6944,  12424,  12425, 
/* msg =   3605, deg = 10 */    162,    628,   1005,   1100,   1576,   2548,   4614,   8220,  12425,  12426, 
/* msg =   3606, deg = 10 */    198,    548,    963,   1233,   1625,   2829,   5452,   8412,  12426,  12427, 
/* msg =   3607, deg = 10 */    294,    622,    761,   1285,   1578,   2360,   5787,   6670,  12427,  12428, 
/* msg =   3608, deg = 10 */    269,    633,    944,   1343,   1558,   2141,   4402,   8465,  12428,  12429, 
/* msg =   3609, deg = 10 */    160,    686,    766,   1101,   1612,   2343,   5135,   6220,  12429,  12430, 
/* msg =   3610, deg = 10 */    179,    554,    929,   1162,   1633,   2728,   3780,   6369,  12430,  12431, 
/* msg =   3611, deg = 10 */     77,    451,   1032,   1191,   1563,   2414,   4879,   6336,  12431,  12432, 
/* msg =   3612, deg = 10 */    327,    590,   1025,   1294,   1774,   3092,   5054,   7775,  12432,  12433, 
/* msg =   3613, deg = 10 */    340,    666,   1056,   1147,   1620,   1981,   4156,   6695,  12433,  12434, 
/* msg =   3614, deg = 10 */    119,    411,    913,   1261,   1637,   3444,   5620,   6782,  12434,  12435, 
/* msg =   3615, deg = 10 */     79,    630,    902,   1385,   1733,   3426,   3883,   8008,  12435,  12436, 
/* msg =   3616, deg = 10 */    209,    564,    990,   1267,   1669,   3153,   3603,   7389,  12437,  12438, 
/* msg =   3617, deg = 10 */    201,    542,    768,   1163,   1649,   2726,   4022,   7765,  12438,  12439, 
/* msg =   3618, deg = 10 */    336,    450,    906,   1174,   1626,   2910,   4771,   8448,  12439,  12440, 
/* msg =   3619, deg = 10 */    319,    545,    918,   1299,   1483,   2456,   4872,   7640,  12440,  12441, 
/* msg =   3620, deg = 10 */    303,    568,    984,   1128,   1762,   2147,   5089,   7953,  12441,  12442, 
/* msg =   3621, deg = 10 */     87,    563,    974,   1340,   1626,   3177,   4589,   7028,  12442,  12443, 
/* msg =   3622, deg = 10 */    153,    456,    982,   1298,   1589,   3491,   4244,   7055,  12443,  12444, 
/* msg =   3623, deg = 10 */     86,    545,   1004,   1305,   1582,   3286,   5441,   7382,  12444,  12445, 
/* msg =   3624, deg = 10 */      8,    573,    977,   1268,   1638,   1993,   6081,   6945,  12445,  12446, 
/* msg =   3625, deg = 10 */    163,    629,   1006,   1101,   1577,   2549,   4615,   8221,  12446,  12447, 
/* msg =   3626, deg = 10 */    199,    549,    964,   1234,   1626,   2830,   5453,   8413,  12447,  12448, 
/* msg =   3627, deg = 10 */    295,    623,    762,   1286,   1579,   2361,   5788,   6671,  12448,  12449, 
/* msg =   3628, deg = 10 */    270,    634,    945,   1344,   1559,   2142,   4403,   8466,  12449,  12450, 
/* msg =   3629, deg = 10 */    161,    687,    767,   1102,   1613,   2344,   5136,   6221,  12450,  12451, 
/* msg =   3630, deg = 10 */    180,    555,    930,   1163,   1634,   2729,   3781,   6370,  12451,  12452, 
/* msg =   3631, deg = 10 */     78,    452,   1033,   1192,   1564,   2415,   4880,   6337,  12452,  12453, 
/* msg =   3632, deg = 10 */    328,    591,   1026,   1295,   1775,   3093,   5055,   7776,  12453,  12454, 
/* msg =   3633, deg = 10 */    341,    667,   1057,   1148,   1621,   1982,   4157,   6696,  12454,  12455, 
/* msg =   3634, deg = 10 */    120,    412,    914,   1262,   1638,   3445,   5621,   6783,  12455,  12456, 
/* msg =   3635, deg = 10 */     80,    631,    903,   1386,   1734,   3427,   3884,   8009,  12456,  12457, 
/* msg =   3636, deg = 10 */    210,    565,    991,   1268,   1670,   3154,   3604,   7390,  12458,  12459, 
/* msg =   3637, deg = 10 */    202,    543,    769,   1164,   1650,   2727,   4023,   7766,  12459,  12460, 
/* msg =   3638, deg = 10 */    337,    451,    907,   1175,   1627,   2911,   4772,   8449,  12460,  12461, 
/* msg =   3639, deg = 10 */    320,    546,    919,   1300,   1484,   2457,   4873,   7641,  12461,  12462, 
/* msg =   3640, deg = 10 */    304,    569,    985,   1129,   1763,   2148,   5090,   7954,  12462,  12463, 
/* msg =   3641, deg = 10 */     88,    564,    975,   1341,   1627,   3178,   4590,   7029,  12463,  12464, 
/* msg =   3642, deg = 10 */    154,    457,    983,   1299,   1590,   3492,   4245,   7056,  12464,  12465, 
/* msg =   3643, deg = 10 */     87,    546,   1005,   1306,   1583,   3287,   5442,   7383,  12465,  12466, 
/* msg =   3644, deg = 10 */      9,    574,    978,   1269,   1639,   1994,   6082,   6946,  12466,  12467, 
/* msg =   3645, deg = 10 */    164,    630,   1007,   1102,   1578,   2550,   4616,   8222,  12467,  12468, 
/* msg =   3646, deg = 10 */    200,    550,    965,   1235,   1627,   2831,   5454,   8414,  12468,  12469, 
/* msg =   3647, deg = 10 */    296,    624,    763,   1287,   1580,   2362,   5789,   6672,  12469,  12470, 
/* msg =   3648, deg = 10 */    271,    635,    946,   1345,   1560,   2143,   4404,   8467,  12470,  12471, 
/* msg =   3649, deg = 10 */    162,    688,    768,   1103,   1614,   2345,   5137,   6222,  12471,  12472, 
/* msg =   3650, deg = 10 */    181,    556,    931,   1164,   1635,   2730,   3782,   6371,  12472,  12473, 
/* msg =   3651, deg = 10 */     79,    453,   1034,   1193,   1565,   2416,   4881,   6338,  12473,  12474, 
/* msg =   3652, deg = 10 */    329,    592,   1027,   1296,   1776,   3094,   5056,   7777,  12474,  12475, 
/* msg =   3653, deg = 10 */    342,    668,   1058,   1149,   1622,   1983,   4158,   6697,  12475,  12476, 
/* msg =   3654, deg = 10 */    121,    413,    915,   1263,   1639,   3446,   5622,   6784,  12476,  12477, 
/* msg =   3655, deg = 10 */     81,    632,    904,   1387,   1735,   3428,   3885,   8010,  12477,  12478, 
/* msg =   3656, deg = 10 */    211,    566,    992,   1269,   1671,   3155,   3605,   7391,  12479,  12480, 
/* msg =   3657, deg = 10 */    203,    544,    770,   1165,   1651,   2728,   4024,   7767,  12480,  12481, 
/* msg =   3658, deg = 10 */    338,    452,    908,   1176,   1628,   2912,   4773,   8450,  12481,  12482, 
/* msg =   3659, deg = 10 */    321,    547,    920,   1301,   1485,   2458,   4874,   7642,  12482,  12483, 
/* msg =   3660, deg = 10 */    305,    570,    986,   1130,   1764,   2149,   5091,   7955,  12483,  12484, 
/* msg =   3661, deg = 10 */     89,    565,    976,   1342,   1628,   3179,   4591,   7030,  12484,  12485, 
/* msg =   3662, deg = 10 */    155,    458,    984,   1300,   1591,   3493,   4246,   7057,  12485,  12486, 
/* msg =   3663, deg = 10 */     88,    547,   1006,   1307,   1584,   3288,   5443,   7384,  12486,  12487, 
/* msg =   3664, deg = 10 */     10,    575,    979,   1270,   1640,   1995,   6083,   6947,  12487,  12488, 
/* msg =   3665, deg = 10 */    165,    631,   1008,   1103,   1579,   2551,   4617,   8223,  12488,  12489, 
/* msg =   3666, deg = 10 */    201,    551,    966,   1236,   1628,   2832,   5455,   8415,  12489,  12490, 
/* msg =   3667, deg = 10 */    297,    625,    764,   1288,   1581,   2363,   5790,   6673,  12490,  12491, 
/* msg =   3668, deg = 10 */    272,    636,    947,   1346,   1561,   2144,   4405,   8468,  12491,  12492, 
/* msg =   3669, deg = 10 */    163,    689,    769,   1104,   1615,   2346,   5138,   6223,  12492,  12493, 
/* msg =   3670, deg = 10 */    182,    557,    932,   1165,   1636,   2731,   3783,   6372,  12493,  12494, 
/* msg =   3671, deg = 10 */     80,    454,   1035,   1194,   1566,   2417,   4882,   6339,  12494,  12495, 
/* msg =   3672, deg = 10 */    330,    593,   1028,   1297,   1777,   3095,   5057,   7778,  12495,  12496, 
/* msg =   3673, deg = 10 */    343,    669,   1059,   1150,   1623,   1984,   4159,   6698,  12496,  12497, 
/* msg =   3674, deg = 10 */    122,    414,    916,   1264,   1640,   3447,   5623,   6785,  12497,  12498, 
/* msg =   3675, deg = 10 */     82,    633,    905,   1388,   1736,   3429,   3886,   8011,  12498,  12499, 
/* msg =   3676, deg = 10 */    212,    567,    993,   1270,   1672,   3156,   3606,   7392,  12500,  12501, 
/* msg =   3677, deg = 10 */    204,    545,    771,   1166,   1652,   2729,   4025,   7768,  12501,  12502, 
/* msg =   3678, deg = 10 */    339,    453,    909,   1177,   1629,   2913,   4774,   8451,  12502,  12503, 
/* msg =   3679, deg = 10 */    322,    548,    921,   1302,   1486,   2459,   4875,   7643,  12503,  12504, 
/* msg =   3680, deg = 10 */    306,    571,    987,   1131,   1765,   2150,   5092,   7956,  12504,  12505, 
/* msg =   3681, deg = 10 */     90,    566,    977,   1343,   1629,   3180,   4592,   7031,  12505,  12506, 
/* msg =   3682, deg = 10 */    156,    459,    985,   1301,   1592,   3494,   4247,   7058,  12506,  12507, 
/* msg =   3683, deg = 10 */     89,    548,   1007,   1308,   1585,   3289,   5444,   7385,  12507,  12508, 
/* msg =   3684, deg = 10 */     11,    576,    980,   1271,   1641,   1996,   6084,   6948,  12508,  12509, 
/* msg =   3685, deg = 10 */    166,    632,   1009,   1104,   1580,   2552,   4618,   8224,  12509,  12510, 
/* msg =   3686, deg = 10 */    202,    552,    967,   1237,   1629,   2833,   5456,   8416,  12510,  12511, 
/* msg =   3687, deg = 10 */    298,    626,    765,   1289,   1582,   2364,   5791,   6674,  12511,  12512, 
/* msg =   3688, deg = 10 */    273,    637,    948,   1347,   1562,   2145,   4406,   8469,  12512,  12513, 
/* msg =   3689, deg = 10 */    164,    690,    770,   1105,   1616,   2347,   5139,   6224,  12513,  12514, 
/* msg =   3690, deg = 10 */    183,    558,    933,   1166,   1637,   2732,   3784,   6373,  12514,  12515, 
/* msg =   3691, deg = 10 */     81,    455,   1036,   1195,   1567,   2418,   4883,   6340,  12515,  12516, 
/* msg =   3692, deg = 10 */    331,    594,   1029,   1298,   1778,   3096,   5058,   7779,  12516,  12517, 
/* msg =   3693, deg = 10 */    344,    670,   1060,   1151,   1624,   1985,   4160,   6699,  12517,  12518, 
/* msg =   3694, deg = 10 */    123,    415,    917,   1265,   1641,   3448,   5624,   6786,  12518,  12519, 
/* msg =   3695, deg = 10 */     83,    634,    906,   1389,   1737,   3430,   3887,   8012,  12519,  12520, 
/* msg =   3696, deg = 10 */    213,    568,    994,   1271,   1673,   3157,   3607,   7393,  12521,  12522, 
/* msg =   3697, deg = 10 */    205,    546,    772,   1167,   1653,   2730,   4026,   7769,  12522,  12523, 
/* msg =   3698, deg = 10 */    340,    454,    910,   1178,   1630,   2914,   4775,   8452,  12523,  12524, 
/* msg =   3699, deg = 10 */    323,    549,    922,   1303,   1487,   2460,   4876,   7644,  12524,  12525, 
/* msg =   3700, deg = 10 */    307,    572,    988,   1132,   1766,   2151,   5093,   7957,  12525,  12526, 
/* msg =   3701, deg = 10 */     91,    567,    978,   1344,   1630,   3181,   4593,   7032,  12526,  12527, 
/* msg =   3702, deg = 10 */    157,    460,    986,   1302,   1593,   3495,   4248,   7059,  12527,  12528, 
/* msg =   3703, deg = 10 */     90,    549,   1008,   1309,   1586,   3290,   5445,   7386,  12528,  12529, 
/* msg =   3704, deg = 10 */     12,    577,    981,   1272,   1642,   1997,   6085,   6949,  12529,  12530, 
/* msg =   3705, deg = 10 */    167,    633,   1010,   1105,   1581,   2553,   4619,   8225,  12530,  12531, 
/* msg =   3706, deg = 10 */    203,    553,    968,   1238,   1630,   2834,   5457,   8417,  12531,  12532, 
/* msg =   3707, deg = 10 */    299,    627,    766,   1290,   1583,   2365,   5792,   6675,  12532,  12533, 
/* msg =   3708, deg = 10 */    274,    638,    949,   1348,   1563,   2146,   4407,   8470,  12533,  12534, 
/* msg =   3709, deg = 10 */    165,    691,    771,   1106,   1617,   2348,   5140,   6225,  12534,  12535, 
/* msg =   3710, deg = 10 */    184,    559,    934,   1167,   1638,   2733,   3785,   6374,  12535,  12536, 
/* msg =   3711, deg = 10 */     82,    456,   1037,   1196,   1568,   2419,   4884,   6341,  12536,  12537, 
/* msg =   3712, deg = 10 */    332,    595,   1030,   1299,   1779,   3097,   5059,   7780,  12537,  12538, 
/* msg =   3713, deg = 10 */    345,    671,   1061,   1152,   1625,   1986,   4161,   6700,  12538,  12539, 
/* msg =   3714, deg = 10 */    124,    416,    918,   1266,   1642,   3449,   5625,   6787,  12539,  12540, 
/* msg =   3715, deg = 10 */     84,    635,    907,   1390,   1738,   3431,   3888,   8013,  12540,  12541, 
/* msg =   3716, deg = 10 */    214,    569,    995,   1272,   1674,   3158,   3608,   7394,  12542,  12543, 
/* msg =   3717, deg = 10 */    206,    547,    773,   1168,   1654,   2731,   4027,   7770,  12543,  12544, 
/* msg =   3718, deg = 10 */    341,    455,    911,   1179,   1631,   2915,   4776,   8453,  12544,  12545, 
/* msg =   3719, deg = 10 */    324,    550,    923,   1304,   1488,   2461,   4877,   7645,  12545,  12546, 
/* msg =   3720, deg = 10 */    308,    573,    989,   1133,   1767,   2152,   5094,   7958,  12546,  12547, 
/* msg =   3721, deg = 10 */     92,    568,    979,   1345,   1631,   3182,   4594,   7033,  12547,  12548, 
/* msg =   3722, deg = 10 */    158,    461,    987,   1303,   1594,   3496,   4249,   7060,  12548,  12549, 
/* msg =   3723, deg = 10 */     91,    550,   1009,   1310,   1587,   3291,   5446,   7387,  12549,  12550, 
/* msg =   3724, deg = 10 */     13,    578,    982,   1273,   1643,   1998,   6086,   6950,  12550,  12551, 
/* msg =   3725, deg = 10 */    168,    634,   1011,   1106,   1582,   2554,   4620,   8226,  12551,  12552, 
/* msg =   3726, deg = 10 */    204,    554,    969,   1239,   1631,   2835,   5458,   8418,  12552,  12553, 
/* msg =   3727, deg = 10 */    300,    628,    767,   1291,   1584,   2366,   5793,   6676,  12553,  12554, 
/* msg =   3728, deg = 10 */    275,    639,    950,   1349,   1564,   2147,   4408,   8471,  12554,  12555, 
/* msg =   3729, deg = 10 */    166,    692,    772,   1107,   1618,   2349,   5141,   6226,  12555,  12556, 
/* msg =   3730, deg = 10 */    185,    560,    935,   1168,   1639,   2734,   3786,   6375,  12556,  12557, 
/* msg =   3731, deg = 10 */     83,    457,   1038,   1197,   1569,   2420,   4885,   6342,  12557,  12558, 
/* msg =   3732, deg = 10 */    333,    596,   1031,   1300,   1780,   3098,   5060,   7781,  12558,  12559, 
/* msg =   3733, deg = 10 */    346,    672,   1062,   1153,   1626,   1987,   4162,   6701,  12559,  12560, 
/* msg =   3734, deg = 10 */    125,    417,    919,   1267,   1643,   3450,   5626,   6788,  12560,  12561, 
/* msg =   3735, deg = 10 */     85,    636,    908,   1391,   1739,   3432,   3889,   8014,  12561,  12562, 
/* msg =   3736, deg = 10 */    215,    570,    996,   1273,   1675,   3159,   3609,   7395,  12563,  12564, 
/* msg =   3737, deg = 10 */    207,    548,    774,   1169,   1655,   2732,   4028,   7771,  12564,  12565, 
/* msg =   3738, deg = 10 */    342,    456,    912,   1180,   1632,   2916,   4777,   8454,  12565,  12566, 
/* msg =   3739, deg = 10 */    325,    551,    924,   1305,   1489,   2462,   4878,   7646,  12566,  12567, 
/* msg =   3740, deg = 10 */    309,    574,    990,   1134,   1768,   2153,   5095,   7959,  12567,  12568, 
/* msg =   3741, deg = 10 */     93,    569,    980,   1346,   1632,   3183,   4595,   7034,  12568,  12569, 
/* msg =   3742, deg = 10 */    159,    462,    988,   1304,   1595,   3497,   4250,   7061,  12569,  12570, 
/* msg =   3743, deg = 10 */     92,    551,   1010,   1311,   1588,   3292,   5447,   7388,  12570,  12571, 
/* msg =   3744, deg = 10 */     14,    579,    983,   1274,   1644,   1999,   6087,   6951,  12571,  12572, 
/* msg =   3745, deg = 10 */    169,    635,   1012,   1107,   1583,   2555,   4621,   8227,  12572,  12573, 
/* msg =   3746, deg = 10 */    205,    555,    970,   1240,   1632,   2836,   5459,   8419,  12573,  12574, 
/* msg =   3747, deg = 10 */    301,    629,    768,   1292,   1585,   2367,   5794,   6677,  12574,  12575, 
/* msg =   3748, deg = 10 */    276,    640,    951,   1350,   1565,   2148,   4409,   8472,  12575,  12576, 
/* msg =   3749, deg = 10 */    167,    693,    773,   1108,   1619,   2350,   5142,   6227,  12576,  12577, 
/* msg =   3750, deg = 10 */    186,    561,    936,   1169,   1640,   2735,   3787,   6376,  12577,  12578, 
/* msg =   3751, deg = 10 */     84,    458,   1039,   1198,   1570,   2421,   4886,   6343,  12578,  12579, 
/* msg =   3752, deg = 10 */    334,    597,   1032,   1301,   1781,   3099,   5061,   7782,  12579,  12580, 
/* msg =   3753, deg = 10 */    347,    673,   1063,   1154,   1627,   1988,   4163,   6702,  12580,  12581, 
/* msg =   3754, deg = 10 */    126,    418,    920,   1268,   1644,   3451,   5627,   6789,  12581,  12582, 
/* msg =   3755, deg = 10 */     86,    637,    909,   1392,   1740,   3433,   3890,   8015,  12582,  12583, 
/* msg =   3756, deg = 10 */    216,    571,    997,   1274,   1676,   3160,   3610,   7396,  12584,  12585, 
/* msg =   3757, deg = 10 */    208,    549,    775,   1170,   1656,   2733,   4029,   7772,  12585,  12586, 
/* msg =   3758, deg = 10 */    343,    457,    913,   1181,   1633,   2917,   4778,   8455,  12586,  12587, 
/* msg =   3759, deg = 10 */    326,    552,    925,   1306,   1490,   2463,   4879,   7647,  12587,  12588, 
/* msg =   3760, deg = 10 */    310,    575,    991,   1135,   1769,   2154,   5096,   7960,  12588,  12589, 
/* msg =   3761, deg = 10 */     94,    570,    981,   1347,   1633,   3184,   4596,   7035,  12589,  12590, 
/* msg =   3762, deg = 10 */    160,    463,    989,   1305,   1596,   3498,   4251,   7062,  12590,  12591, 
/* msg =   3763, deg = 10 */     93,    552,   1011,   1312,   1589,   3293,   5448,   7389,  12591,  12592, 
/* msg =   3764, deg = 10 */     15,    580,    984,   1275,   1645,   2000,   6088,   6952,  12592,  12593, 
/* msg =   3765, deg = 10 */    170,    636,   1013,   1108,   1584,   2556,   4622,   8228,  12593,  12594, 
/* msg =   3766, deg = 10 */    206,    556,    971,   1241,   1633,   2837,   5460,   8420,  12594,  12595, 
/* msg =   3767, deg = 10 */    302,    630,    769,   1293,   1586,   2368,   5795,   6678,  12595,  12596, 
/* msg =   3768, deg = 10 */    277,    641,    952,   1351,   1566,   2149,   4410,   8473,  12596,  12597, 
/* msg =   3769, deg = 10 */    168,    694,    774,   1109,   1620,   2351,   5143,   6228,  12597,  12598, 
/* msg =   3770, deg = 10 */    187,    562,    937,   1170,   1641,   2736,   3788,   6377,  12598,  12599, 
/* msg =   3771, deg = 10 */     85,    459,   1040,   1199,   1571,   2422,   4887,   6344,  12599,  12600, 
/* msg =   3772, deg = 10 */    335,    598,   1033,   1302,   1782,   3100,   5062,   7783,  12600,  12601, 
/* msg =   3773, deg = 10 */    348,    674,   1064,   1155,   1628,   1989,   4164,   6703,  12601,  12602, 
/* msg =   3774, deg = 10 */    127,    419,    921,   1269,   1645,   3452,   5628,   6790,  12602,  12603, 
/* msg =   3775, deg = 10 */     87,    638,    910,   1393,   1741,   3434,   3891,   8016,  12603,  12604, 
/* msg =   3776, deg = 10 */    217,    572,    998,   1275,   1677,   3161,   3611,   7397,  12605,  12606, 
/* msg =   3777, deg = 10 */    209,    550,    776,   1171,   1657,   2734,   4030,   7773,  12606,  12607, 
/* msg =   3778, deg = 10 */    344,    458,    914,   1182,   1634,   2918,   4779,   8456,  12607,  12608, 
/* msg =   3779, deg = 10 */    327,    553,    926,   1307,   1491,   2464,   4880,   7648,  12608,  12609, 
/* msg =   3780, deg = 10 */    311,    576,    992,   1136,   1770,   2155,   5097,   7961,  12609,  12610, 
/* msg =   3781, deg = 10 */     95,    571,    982,   1348,   1634,   3185,   4597,   7036,  12610,  12611, 
/* msg =   3782, deg = 10 */    161,    464,    990,   1306,   1597,   3499,   4252,   7063,  12611,  12612, 
/* msg =   3783, deg = 10 */     94,    553,   1012,   1313,   1590,   3294,   5449,   7390,  12612,  12613, 
/* msg =   3784, deg = 10 */     16,    581,    985,   1276,   1646,   2001,   6089,   6953,  12613,  12614, 
/* msg =   3785, deg = 10 */    171,    637,   1014,   1109,   1585,   2557,   4623,   8229,  12614,  12615, 
/* msg =   3786, deg = 10 */    207,    557,    972,   1242,   1634,   2838,   5461,   8421,  12615,  12616, 
/* msg =   3787, deg = 10 */    303,    631,    770,   1294,   1587,   2369,   5796,   6679,  12616,  12617, 
/* msg =   3788, deg = 10 */    278,    642,    953,   1352,   1567,   2150,   4411,   8474,  12617,  12618, 
/* msg =   3789, deg = 10 */    169,    695,    775,   1110,   1621,   2352,   5144,   6229,  12618,  12619, 
/* msg =   3790, deg = 10 */    188,    563,    938,   1171,   1642,   2737,   3789,   6378,  12619,  12620, 
/* msg =   3791, deg = 10 */     86,    460,   1041,   1200,   1572,   2423,   4888,   6345,  12620,  12621, 
/* msg =   3792, deg = 10 */    336,    599,   1034,   1303,   1783,   3101,   5063,   7784,  12621,  12622, 
/* msg =   3793, deg = 10 */    349,    675,   1065,   1156,   1629,   1990,   4165,   6704,  12622,  12623, 
/* msg =   3794, deg = 10 */    128,    420,    922,   1270,   1646,   3453,   5629,   6791,  12623,  12624, 
/* msg =   3795, deg = 10 */     88,    639,    911,   1394,   1742,   3435,   3892,   8017,  12624,  12625, 
/* msg =   3796, deg = 10 */    218,    573,    999,   1276,   1678,   3162,   3612,   7398,  12626,  12627, 
/* msg =   3797, deg = 10 */    210,    551,    777,   1172,   1658,   2735,   4031,   7774,  12627,  12628, 
/* msg =   3798, deg = 10 */    345,    459,    915,   1183,   1635,   2919,   4780,   8457,  12628,  12629, 
/* msg =   3799, deg = 10 */    328,    554,    927,   1308,   1492,   2465,   4881,   7649,  12629,  12630, 
/* msg =   3800, deg = 10 */    312,    577,    993,   1137,   1771,   2156,   5098,   7962,  12630,  12631, 
/* msg =   3801, deg = 10 */     96,    572,    983,   1349,   1635,   3186,   4598,   7037,  12631,  12632, 
/* msg =   3802, deg = 10 */    162,    465,    991,   1307,   1598,   3500,   4253,   7064,  12632,  12633, 
/* msg =   3803, deg = 10 */     95,    554,   1013,   1314,   1591,   3295,   5450,   7391,  12633,  12634, 
/* msg =   3804, deg = 10 */     17,    582,    986,   1277,   1647,   2002,   6090,   6954,  12634,  12635, 
/* msg =   3805, deg = 10 */    172,    638,   1015,   1110,   1586,   2558,   4624,   8230,  12635,  12636, 
/* msg =   3806, deg = 10 */    208,    558,    973,   1243,   1635,   2839,   5462,   8422,  12636,  12637, 
/* msg =   3807, deg = 10 */    304,    632,    771,   1295,   1588,   2370,   5797,   6680,  12637,  12638, 
/* msg =   3808, deg = 10 */    279,    643,    954,   1353,   1568,   2151,   4412,   8475,  12638,  12639, 
/* msg =   3809, deg = 10 */    170,    696,    776,   1111,   1622,   2353,   5145,   6230,  12639,  12640, 
/* msg =   3810, deg = 10 */    189,    564,    939,   1172,   1643,   2738,   3790,   6379,  12640,  12641, 
/* msg =   3811, deg = 10 */     87,    461,   1042,   1201,   1573,   2424,   4889,   6346,  12641,  12642, 
/* msg =   3812, deg = 10 */    337,    600,   1035,   1304,   1784,   3102,   5064,   7785,  12642,  12643, 
/* msg =   3813, deg = 10 */    350,    676,   1066,   1157,   1630,   1991,   4166,   6705,  12643,  12644, 
/* msg =   3814, deg = 10 */    129,    421,    923,   1271,   1647,   3454,   5630,   6792,  12644,  12645, 
/* msg =   3815, deg = 10 */     89,    640,    912,   1395,   1743,   3436,   3893,   8018,  12645,  12646, 
/* msg =   3816, deg = 10 */    219,    574,   1000,   1277,   1679,   3163,   3613,   7399,  12647,  12648, 
/* msg =   3817, deg = 10 */    211,    552,    778,   1173,   1659,   2736,   4032,   7775,  12648,  12649, 
/* msg =   3818, deg = 10 */    346,    460,    916,   1184,   1636,   2920,   4781,   8458,  12649,  12650, 
/* msg =   3819, deg = 10 */    329,    555,    928,   1309,   1493,   2466,   4882,   7650,  12650,  12651, 
/* msg =   3820, deg = 10 */    313,    578,    994,   1138,   1772,   2157,   5099,   7963,  12651,  12652, 
/* msg =   3821, deg = 10 */     97,    573,    984,   1350,   1636,   3187,   4599,   7038,  12652,  12653, 
/* msg =   3822, deg = 10 */    163,    466,    992,   1308,   1599,   3501,   4254,   7065,  12653,  12654, 
/* msg =   3823, deg = 10 */     96,    555,   1014,   1315,   1592,   3296,   5451,   7392,  12654,  12655, 
/* msg =   3824, deg = 10 */     18,    583,    987,   1278,   1648,   2003,   6091,   6955,  12655,  12656, 
/* msg =   3825, deg = 10 */    173,    639,   1016,   1111,   1587,   2559,   4625,   8231,  12656,  12657, 
/* msg =   3826, deg = 10 */    209,    559,    974,   1244,   1636,   2840,   5463,   8423,  12657,  12658, 
/* msg =   3827, deg = 10 */    305,    633,    772,   1296,   1589,   2371,   5798,   6681,  12658,  12659, 
/* msg =   3828, deg = 10 */    280,    644,    955,   1354,   1569,   2152,   4413,   8476,  12659,  12660, 
/* msg =   3829, deg = 10 */    171,    697,    777,   1112,   1623,   2354,   5146,   6231,  12660,  12661, 
/* msg =   3830, deg = 10 */    190,    565,    940,   1173,   1644,   2739,   3791,   6380,  12661,  12662, 
/* msg =   3831, deg = 10 */     88,    462,   1043,   1202,   1574,   2425,   4890,   6347,  12662,  12663, 
/* msg =   3832, deg = 10 */    338,    601,   1036,   1305,   1785,   3103,   5065,   7786,  12663,  12664, 
/* msg =   3833, deg = 10 */    351,    677,   1067,   1158,   1631,   1992,   4167,   6706,  12664,  12665, 
/* msg =   3834, deg = 10 */    130,    422,    924,   1272,   1648,   3455,   5631,   6793,  12665,  12666, 
/* msg =   3835, deg = 10 */     90,    641,    913,   1396,   1744,   3437,   3894,   8019,  12666,  12667, 
/* msg =   3836, deg = 10 */    220,    575,   1001,   1278,   1680,   3164,   3614,   7400,  12668,  12669, 
/* msg =   3837, deg = 10 */    212,    553,    779,   1174,   1660,   2737,   4033,   7776,  12669,  12670, 
/* msg =   3838, deg = 10 */    347,    461,    917,   1185,   1637,   2921,   4782,   8459,  12670,  12671, 
/* msg =   3839, deg = 10 */    330,    556,    929,   1310,   1494,   2467,   4883,   7651,  12671,  12672, 
/* msg =   3840, deg = 10 */    314,    579,    995,   1139,   1773,   2158,   5100,   7964,  12672,  12673, 
/* msg =   3841, deg = 10 */     98,    574,    985,   1351,   1637,   3188,   4600,   7039,  12673,  12674, 
/* msg =   3842, deg = 10 */    164,    467,    993,   1309,   1600,   3502,   4255,   7066,  12674,  12675, 
/* msg =   3843, deg = 10 */     97,    556,   1015,   1316,   1593,   3297,   5452,   7393,  12675,  12676, 
/* msg =   3844, deg = 10 */     19,    584,    988,   1279,   1649,   2004,   6092,   6956,  12676,  12677, 
/* msg =   3845, deg = 10 */    174,    640,   1017,   1112,   1588,   2560,   4626,   8232,  12677,  12678, 
/* msg =   3846, deg = 10 */    210,    560,    975,   1245,   1637,   2841,   5464,   8424,  12678,  12679, 
/* msg =   3847, deg = 10 */    306,    634,    773,   1297,   1590,   2372,   5799,   6682,  12679,  12680, 
/* msg =   3848, deg = 10 */    281,    645,    956,   1355,   1570,   2153,   4414,   8477,  12680,  12681, 
/* msg =   3849, deg = 10 */    172,    698,    778,   1113,   1624,   2355,   5147,   6232,  12681,  12682, 
/* msg =   3850, deg = 10 */    191,    566,    941,   1174,   1645,   2740,   3792,   6381,  12682,  12683, 
/* msg =   3851, deg = 10 */     89,    463,   1044,   1203,   1575,   2426,   4891,   6348,  12683,  12684, 
/* msg =   3852, deg = 10 */    339,    602,   1037,   1306,   1786,   3104,   5066,   7787,  12684,  12685, 
/* msg =   3853, deg = 10 */    352,    678,   1068,   1159,   1632,   1993,   4168,   6707,  12685,  12686, 
/* msg =   3854, deg = 10 */    131,    423,    925,   1273,   1649,   3456,   5632,   6794,  12686,  12687, 
/* msg =   3855, deg = 10 */     91,    642,    914,   1397,   1745,   3438,   3895,   8020,  12687,  12688, 
/* msg =   3856, deg = 10 */    221,    576,   1002,   1279,   1681,   3165,   3615,   7401,  12689,  12690, 
/* msg =   3857, deg = 10 */    213,    554,    780,   1175,   1661,   2738,   4034,   7777,  12690,  12691, 
/* msg =   3858, deg = 10 */    348,    462,    918,   1186,   1638,   2922,   4783,   8460,  12691,  12692, 
/* msg =   3859, deg = 10 */    331,    557,    930,   1311,   1495,   2468,   4884,   7652,  12692,  12693, 
/* msg =   3860, deg = 10 */    315,    580,    996,   1140,   1774,   2159,   5101,   7965,  12693,  12694, 
/* msg =   3861, deg = 10 */     99,    575,    986,   1352,   1638,   3189,   4601,   7040,  12694,  12695, 
/* msg =   3862, deg = 10 */    165,    468,    994,   1310,   1601,   3503,   4256,   7067,  12695,  12696, 
/* msg =   3863, deg = 10 */     98,    557,   1016,   1317,   1594,   3298,   5453,   7394,  12696,  12697, 
/* msg =   3864, deg = 10 */     20,    585,    989,   1280,   1650,   2005,   6093,   6957,  12697,  12698, 
/* msg =   3865, deg = 10 */    175,    641,   1018,   1113,   1589,   2561,   4627,   8233,  12698,  12699, 
/* msg =   3866, deg = 10 */    211,    561,    976,   1246,   1638,   2842,   5465,   8425,  12699,  12700, 
/* msg =   3867, deg = 10 */    307,    635,    774,   1298,   1591,   2373,   5800,   6683,  12700,  12701, 
/* msg =   3868, deg = 10 */    282,    646,    957,   1356,   1571,   2154,   4415,   8478,  12701,  12702, 
/* msg =   3869, deg = 10 */    173,    699,    779,   1114,   1625,   2356,   5148,   6233,  12702,  12703, 
/* msg =   3870, deg = 10 */    192,    567,    942,   1175,   1646,   2741,   3793,   6382,  12703,  12704, 
/* msg =   3871, deg = 10 */     90,    464,   1045,   1204,   1576,   2427,   4892,   6349,  12704,  12705, 
/* msg =   3872, deg = 10 */    340,    603,   1038,   1307,   1787,   3105,   5067,   7788,  12705,  12706, 
/* msg =   3873, deg = 10 */    353,    679,   1069,   1160,   1633,   1994,   4169,   6708,  12706,  12707, 
/* msg =   3874, deg = 10 */    132,    424,    926,   1274,   1650,   3457,   5633,   6795,  12707,  12708, 
/* msg =   3875, deg = 10 */     92,    643,    915,   1398,   1746,   3439,   3896,   8021,  12708,  12709, 
/* msg =   3876, deg = 10 */    222,    577,   1003,   1280,   1682,   3166,   3616,   7402,  12710,  12711, 
/* msg =   3877, deg = 10 */    214,    555,    781,   1176,   1662,   2739,   4035,   7778,  12711,  12712, 
/* msg =   3878, deg = 10 */    349,    463,    919,   1187,   1639,   2923,   4784,   8461,  12712,  12713, 
/* msg =   3879, deg = 10 */    332,    558,    931,   1312,   1496,   2469,   4885,   7653,  12713,  12714, 
/* msg =   3880, deg = 10 */    316,    581,    997,   1141,   1775,   1800,   5102,   7966,  12714,  12715, 
/* msg =   3881, deg = 10 */    100,    576,    987,   1353,   1639,   3190,   4602,   7041,  12715,  12716, 
/* msg =   3882, deg = 10 */    166,    469,    995,   1311,   1602,   3504,   4257,   7068,  12716,  12717, 
/* msg =   3883, deg = 10 */     99,    558,   1017,   1318,   1595,   3299,   5454,   7395,  12717,  12718, 
/* msg =   3884, deg = 10 */     21,    586,    990,   1281,   1651,   2006,   6094,   6958,  12718,  12719, 
/* msg =   3885, deg = 10 */    176,    642,   1019,   1114,   1590,   2562,   4628,   8234,  12719,  12720, 
/* msg =   3886, deg = 10 */    212,    562,    977,   1247,   1639,   2843,   5466,   8426,  12720,  12721, 
/* msg =   3887, deg = 10 */    308,    636,    775,   1299,   1592,   2374,   5801,   6684,  12721,  12722, 
/* msg =   3888, deg = 10 */    283,    647,    958,   1357,   1572,   2155,   4416,   8479,  12722,  12723, 
/* msg =   3889, deg = 10 */    174,    700,    780,   1115,   1626,   2357,   5149,   6234,  12723,  12724, 
/* msg =   3890, deg = 10 */    193,    568,    943,   1176,   1647,   2742,   3794,   6383,  12724,  12725, 
/* msg =   3891, deg = 10 */     91,    465,   1046,   1205,   1577,   2428,   4893,   6350,  12725,  12726, 
/* msg =   3892, deg = 10 */    341,    604,   1039,   1308,   1788,   3106,   5068,   7789,  12726,  12727, 
/* msg =   3893, deg = 10 */    354,    680,   1070,   1161,   1634,   1995,   4170,   6709,  12727,  12728, 
/* msg =   3894, deg = 10 */    133,    425,    927,   1275,   1651,   3458,   5634,   6796,  12728,  12729, 
/* msg =   3895, deg = 10 */     93,    644,    916,   1399,   1747,   3440,   3897,   8022,  12729,  12730, 
/* msg =   3896, deg = 10 */    223,    578,   1004,   1281,   1683,   3167,   3617,   7403,  12731,  12732, 
/* msg =   3897, deg = 10 */    215,    556,    782,   1177,   1663,   2740,   4036,   7779,  12732,  12733, 
/* msg =   3898, deg = 10 */    350,    464,    920,   1188,   1640,   2924,   4785,   8462,  12733,  12734, 
/* msg =   3899, deg = 10 */    333,    559,    932,   1313,   1497,   2470,   4886,   7654,  12734,  12735, 
/* msg =   3900, deg = 10 */    317,    582,    998,   1142,   1776,   1801,   5103,   7967,  12735,  12736, 
/* msg =   3901, deg = 10 */    101,    577,    988,   1354,   1640,   3191,   4603,   7042,  12736,  12737, 
/* msg =   3902, deg = 10 */    167,    470,    996,   1312,   1603,   3505,   4258,   7069,  12737,  12738, 
/* msg =   3903, deg = 10 */    100,    559,   1018,   1319,   1596,   3300,   5455,   7396,  12738,  12739, 
/* msg =   3904, deg = 10 */     22,    587,    991,   1282,   1652,   2007,   6095,   6959,  12739,  12740, 
/* msg =   3905, deg = 10 */    177,    643,   1020,   1115,   1591,   2563,   4629,   8235,  12740,  12741, 
/* msg =   3906, deg = 10 */    213,    563,    978,   1248,   1640,   2844,   5467,   8427,  12741,  12742, 
/* msg =   3907, deg = 10 */    309,    637,    776,   1300,   1593,   2375,   5802,   6685,  12742,  12743, 
/* msg =   3908, deg = 10 */    284,    648,    959,   1358,   1573,   2156,   4417,   8480,  12743,  12744, 
/* msg =   3909, deg = 10 */    175,    701,    781,   1116,   1627,   2358,   5150,   6235,  12744,  12745, 
/* msg =   3910, deg = 10 */    194,    569,    944,   1177,   1648,   2743,   3795,   6384,  12745,  12746, 
/* msg =   3911, deg = 10 */     92,    466,   1047,   1206,   1578,   2429,   4894,   6351,  12746,  12747, 
/* msg =   3912, deg = 10 */    342,    605,   1040,   1309,   1789,   3107,   5069,   7790,  12747,  12748, 
/* msg =   3913, deg = 10 */    355,    681,   1071,   1162,   1635,   1996,   4171,   6710,  12748,  12749, 
/* msg =   3914, deg = 10 */    134,    426,    928,   1276,   1652,   3459,   5635,   6797,  12749,  12750, 
/* msg =   3915, deg = 10 */     94,    645,    917,   1400,   1748,   3441,   3898,   8023,  12750,  12751, 
/* msg =   3916, deg = 10 */    224,    579,   1005,   1282,   1684,   3168,   3618,   7404,  12752,  12753, 
/* msg =   3917, deg = 10 */    216,    557,    783,   1178,   1664,   2741,   4037,   7780,  12753,  12754, 
/* msg =   3918, deg = 10 */    351,    465,    921,   1189,   1641,   2925,   4786,   8463,  12754,  12755, 
/* msg =   3919, deg = 10 */    334,    560,    933,   1314,   1498,   2471,   4887,   7655,  12755,  12756, 
/* msg =   3920, deg = 10 */    318,    583,    999,   1143,   1777,   1802,   5104,   7968,  12756,  12757, 
/* msg =   3921, deg = 10 */    102,    578,    989,   1355,   1641,   3192,   4604,   7043,  12757,  12758, 
/* msg =   3922, deg = 10 */    168,    471,    997,   1313,   1604,   3506,   4259,   7070,  12758,  12759, 
/* msg =   3923, deg = 10 */    101,    560,   1019,   1320,   1597,   3301,   5456,   7397,  12759,  12760, 
/* msg =   3924, deg = 10 */     23,    588,    992,   1283,   1653,   2008,   6096,   6960,  12760,  12761, 
/* msg =   3925, deg = 10 */    178,    644,   1021,   1116,   1592,   2564,   4630,   8236,  12761,  12762, 
/* msg =   3926, deg = 10 */    214,    564,    979,   1249,   1641,   2845,   5468,   8428,  12762,  12763, 
/* msg =   3927, deg = 10 */    310,    638,    777,   1301,   1594,   2376,   5803,   6686,  12763,  12764, 
/* msg =   3928, deg = 10 */    285,    649,    960,   1359,   1574,   2157,   4418,   8481,  12764,  12765, 
/* msg =   3929, deg = 10 */    176,    702,    782,   1117,   1628,   2359,   5151,   6236,  12765,  12766, 
/* msg =   3930, deg = 10 */    195,    570,    945,   1178,   1649,   2744,   3796,   6385,  12766,  12767, 
/* msg =   3931, deg = 10 */     93,    467,   1048,   1207,   1579,   2430,   4895,   6352,  12767,  12768, 
/* msg =   3932, deg = 10 */    343,    606,   1041,   1310,   1790,   3108,   5070,   7791,  12768,  12769, 
/* msg =   3933, deg = 10 */    356,    682,   1072,   1163,   1636,   1997,   4172,   6711,  12769,  12770, 
/* msg =   3934, deg = 10 */    135,    427,    929,   1277,   1653,   3460,   5636,   6798,  12770,  12771, 
/* msg =   3935, deg = 10 */     95,    646,    918,   1401,   1749,   3442,   3899,   8024,  12771,  12772, 
/* msg =   3936, deg = 10 */    225,    580,   1006,   1283,   1685,   3169,   3619,   7405,  12773,  12774, 
/* msg =   3937, deg = 10 */    217,    558,    784,   1179,   1665,   2742,   4038,   7781,  12774,  12775, 
/* msg =   3938, deg = 10 */    352,    466,    922,   1190,   1642,   2926,   4787,   8464,  12775,  12776, 
/* msg =   3939, deg = 10 */    335,    561,    934,   1315,   1499,   2472,   4888,   7656,  12776,  12777, 
/* msg =   3940, deg = 10 */    319,    584,   1000,   1144,   1778,   1803,   5105,   7969,  12777,  12778, 
/* msg =   3941, deg = 10 */    103,    579,    990,   1356,   1642,   3193,   4605,   7044,  12778,  12779, 
/* msg =   3942, deg = 10 */    169,    472,    998,   1314,   1605,   3507,   4260,   7071,  12779,  12780, 
/* msg =   3943, deg = 10 */    102,    561,   1020,   1321,   1598,   3302,   5457,   7398,  12780,  12781, 
/* msg =   3944, deg = 10 */     24,    589,    993,   1284,   1654,   2009,   6097,   6961,  12781,  12782, 
/* msg =   3945, deg = 10 */    179,    645,   1022,   1117,   1593,   2565,   4631,   8237,  12782,  12783, 
/* msg =   3946, deg = 10 */    215,    565,    980,   1250,   1642,   2846,   5469,   8429,  12783,  12784, 
/* msg =   3947, deg = 10 */    311,    639,    778,   1302,   1595,   2377,   5804,   6687,  12784,  12785, 
/* msg =   3948, deg = 10 */    286,    650,    961,   1360,   1575,   2158,   4419,   8482,  12785,  12786, 
/* msg =   3949, deg = 10 */    177,    703,    783,   1118,   1629,   2360,   5152,   6237,  12786,  12787, 
/* msg =   3950, deg = 10 */    196,    571,    946,   1179,   1650,   2745,   3797,   6386,  12787,  12788, 
/* msg =   3951, deg = 10 */     94,    468,   1049,   1208,   1580,   2431,   4896,   6353,  12788,  12789, 
/* msg =   3952, deg = 10 */    344,    607,   1042,   1311,   1791,   3109,   5071,   7792,  12789,  12790, 
/* msg =   3953, deg = 10 */    357,    683,   1073,   1164,   1637,   1998,   4173,   6712,  12790,  12791, 
/* msg =   3954, deg = 10 */    136,    428,    930,   1278,   1654,   3461,   5637,   6799,  12791,  12792, 
/* msg =   3955, deg = 10 */     96,    647,    919,   1402,   1750,   3443,   3900,   8025,  12792,  12793, 
/* msg =   3956, deg = 10 */    226,    581,   1007,   1284,   1686,   3170,   3620,   7406,  12794,  12795, 
/* msg =   3957, deg = 10 */    218,    559,    785,   1180,   1666,   2743,   4039,   7782,  12795,  12796, 
/* msg =   3958, deg = 10 */    353,    467,    923,   1191,   1643,   2927,   4788,   8465,  12796,  12797, 
/* msg =   3959, deg = 10 */    336,    562,    935,   1316,   1500,   2473,   4889,   7657,  12797,  12798, 
/* msg =   3960, deg = 10 */    320,    585,   1001,   1145,   1779,   1804,   5106,   7970,  12798,  12799, 
/* msg =   3961, deg = 10 */    104,    580,    991,   1357,   1643,   3194,   4606,   7045,  12799,  12800, 
/* msg =   3962, deg = 10 */    170,    473,    999,   1315,   1606,   3508,   4261,   7072,  12800,  12801, 
/* msg =   3963, deg = 10 */    103,    562,   1021,   1322,   1599,   3303,   5458,   7399,  12801,  12802, 
/* msg =   3964, deg = 10 */     25,    590,    994,   1285,   1655,   2010,   6098,   6962,  12802,  12803, 
/* msg =   3965, deg = 10 */    180,    646,   1023,   1118,   1594,   2566,   4632,   8238,  12803,  12804, 
/* msg =   3966, deg = 10 */    216,    566,    981,   1251,   1643,   2847,   5470,   8430,  12804,  12805, 
/* msg =   3967, deg = 10 */    312,    640,    779,   1303,   1596,   2378,   5805,   6688,  12805,  12806, 
/* msg =   3968, deg = 10 */    287,    651,    962,   1361,   1576,   2159,   4420,   8483,  12806,  12807, 
/* msg =   3969, deg = 10 */    178,    704,    784,   1119,   1630,   2361,   5153,   6238,  12807,  12808, 
/* msg =   3970, deg = 10 */    197,    572,    947,   1180,   1651,   2746,   3798,   6387,  12808,  12809, 
/* msg =   3971, deg = 10 */     95,    469,   1050,   1209,   1581,   2432,   4897,   6354,  12809,  12810, 
/* msg =   3972, deg = 10 */    345,    608,   1043,   1312,   1792,   3110,   5072,   7793,  12810,  12811, 
/* msg =   3973, deg = 10 */    358,    684,   1074,   1165,   1638,   1999,   4174,   6713,  12811,  12812, 
/* msg =   3974, deg = 10 */    137,    429,    931,   1279,   1655,   3462,   5638,   6800,  12812,  12813, 
/* msg =   3975, deg = 10 */     97,    648,    920,   1403,   1751,   3444,   3901,   8026,  12813,  12814, 
/* msg =   3976, deg = 10 */    227,    582,   1008,   1285,   1687,   3171,   3621,   7407,  12815,  12816, 
/* msg =   3977, deg = 10 */    219,    560,    786,   1181,   1667,   2744,   4040,   7783,  12816,  12817, 
/* msg =   3978, deg = 10 */    354,    468,    924,   1192,   1644,   2928,   4789,   8466,  12817,  12818, 
/* msg =   3979, deg = 10 */    337,    563,    936,   1317,   1501,   2474,   4890,   7658,  12818,  12819, 
/* msg =   3980, deg = 10 */    321,    586,   1002,   1146,   1780,   1805,   5107,   7971,  12819,  12820, 
/* msg =   3981, deg = 10 */    105,    581,    992,   1358,   1644,   3195,   4607,   7046,  12820,  12821, 
/* msg =   3982, deg = 10 */    171,    474,   1000,   1316,   1607,   3509,   4262,   7073,  12821,  12822, 
/* msg =   3983, deg = 10 */    104,    563,   1022,   1323,   1600,   3304,   5459,   7400,  12822,  12823, 
/* msg =   3984, deg = 10 */     26,    591,    995,   1286,   1656,   2011,   6099,   6963,  12823,  12824, 
/* msg =   3985, deg = 10 */    181,    647,   1024,   1119,   1595,   2567,   4633,   8239,  12824,  12825, 
/* msg =   3986, deg = 10 */    217,    567,    982,   1252,   1644,   2848,   5471,   8431,  12825,  12826, 
/* msg =   3987, deg = 10 */    313,    641,    780,   1304,   1597,   2379,   5806,   6689,  12826,  12827, 
/* msg =   3988, deg = 10 */    288,    652,    963,   1362,   1577,   1800,   4421,   8484,  12827,  12828, 
/* msg =   3989, deg = 10 */    179,    705,    785,   1120,   1631,   2362,   5154,   6239,  12828,  12829, 
/* msg =   3990, deg = 10 */    198,    573,    948,   1181,   1652,   2747,   3799,   6388,  12829,  12830, 
/* msg =   3991, deg = 10 */     96,    470,   1051,   1210,   1582,   2433,   4898,   6355,  12830,  12831, 
/* msg =   3992, deg = 10 */    346,    609,   1044,   1313,   1793,   3111,   5073,   7794,  12831,  12832, 
/* msg =   3993, deg = 10 */    359,    685,   1075,   1166,   1639,   2000,   4175,   6714,  12832,  12833, 
/* msg =   3994, deg = 10 */    138,    430,    932,   1280,   1656,   3463,   5639,   6801,  12833,  12834, 
/* msg =   3995, deg = 10 */     98,    649,    921,   1404,   1752,   3445,   3902,   8027,  12834,  12835, 
/* msg =   3996, deg = 10 */    228,    583,   1009,   1286,   1688,   3172,   3622,   7408,  12836,  12837, 
/* msg =   3997, deg = 10 */    220,    561,    787,   1182,   1668,   2745,   4041,   7784,  12837,  12838, 
/* msg =   3998, deg = 10 */    355,    469,    925,   1193,   1645,   2929,   4790,   8467,  12838,  12839, 
/* msg =   3999, deg = 10 */    338,    564,    937,   1318,   1502,   2475,   4891,   7659,  12839,  12840, 
/* msg =   4000, deg = 10 */    322,    587,   1003,   1147,   1781,   1806,   5108,   7972,  12840,  12841, 
/* msg =   4001, deg = 10 */    106,    582,    993,   1359,   1645,   3196,   4608,   7047,  12841,  12842, 
/* msg =   4002, deg = 10 */    172,    475,   1001,   1317,   1608,   3510,   4263,   7074,  12842,  12843, 
/* msg =   4003, deg = 10 */    105,    564,   1023,   1324,   1601,   3305,   5460,   7401,  12843,  12844, 
/* msg =   4004, deg = 10 */     27,    592,    996,   1287,   1657,   2012,   6100,   6964,  12844,  12845, 
/* msg =   4005, deg = 10 */    182,    648,   1025,   1120,   1596,   2568,   4634,   8240,  12845,  12846, 
/* msg =   4006, deg = 10 */    218,    568,    983,   1253,   1645,   2849,   5472,   8432,  12846,  12847, 
/* msg =   4007, deg = 10 */    314,    642,    781,   1305,   1598,   2380,   5807,   6690,  12847,  12848, 
/* msg =   4008, deg = 10 */    289,    653,    964,   1363,   1578,   1801,   4422,   8485,  12848,  12849, 
/* msg =   4009, deg = 10 */    180,    706,    786,   1121,   1632,   2363,   5155,   6240,  12849,  12850, 
/* msg =   4010, deg = 10 */    199,    574,    949,   1182,   1653,   2748,   3800,   6389,  12850,  12851, 
/* msg =   4011, deg = 10 */     97,    471,   1052,   1211,   1583,   2434,   4899,   6356,  12851,  12852, 
/* msg =   4012, deg = 10 */    347,    610,   1045,   1314,   1794,   3112,   5074,   7795,  12852,  12853, 
/* msg =   4013, deg = 10 */      0,    686,   1076,   1167,   1640,   2001,   4176,   6715,  12853,  12854, 
/* msg =   4014, deg = 10 */    139,    431,    933,   1281,   1657,   3464,   5640,   6802,  12854,  12855, 
/* msg =   4015, deg = 10 */     99,    650,    922,   1405,   1753,   3446,   3903,   8028,  12855,  12856, 
/* msg =   4016, deg = 10 */    229,    584,   1010,   1287,   1689,   3173,   3623,   7409,  12857,  12858, 
/* msg =   4017, deg = 10 */    221,    562,    788,   1183,   1669,   2746,   4042,   7785,  12858,  12859, 
/* msg =   4018, deg = 10 */    356,    470,    926,   1194,   1646,   2930,   4791,   8468,  12859,  12860, 
/* msg =   4019, deg = 10 */    339,    565,    938,   1319,   1503,   2476,   4892,   7660,  12860,  12861, 
/* msg =   4020, deg = 10 */    323,    588,   1004,   1148,   1782,   1807,   5109,   7973,  12861,  12862, 
/* msg =   4021, deg = 10 */    107,    583,    994,   1360,   1646,   3197,   4609,   7048,  12862,  12863, 
/* msg =   4022, deg = 10 */    173,    476,   1002,   1318,   1609,   3511,   4264,   7075,  12863,  12864, 
/* msg =   4023, deg = 10 */    106,    565,   1024,   1325,   1602,   3306,   5461,   7402,  12864,  12865, 
/* msg =   4024, deg = 10 */     28,    593,    997,   1288,   1658,   2013,   6101,   6965,  12865,  12866, 
/* msg =   4025, deg = 10 */    183,    649,   1026,   1121,   1597,   2569,   4635,   8241,  12866,  12867, 
/* msg =   4026, deg = 10 */    219,    569,    984,   1254,   1646,   2850,   5473,   8433,  12867,  12868, 
/* msg =   4027, deg = 10 */    315,    643,    782,   1306,   1599,   2381,   5808,   6691,  12868,  12869, 
/* msg =   4028, deg = 10 */    290,    654,    965,   1364,   1579,   1802,   4423,   8486,  12869,  12870, 
/* msg =   4029, deg = 10 */    181,    707,    787,   1122,   1633,   2364,   5156,   6241,  12870,  12871, 
/* msg =   4030, deg = 10 */    200,    575,    950,   1183,   1654,   2749,   3801,   6390,  12871,  12872, 
/* msg =   4031, deg = 10 */     98,    472,   1053,   1212,   1584,   2435,   4900,   6357,  12872,  12873, 
/* msg =   4032, deg = 10 */    348,    611,   1046,   1315,   1795,   3113,   5075,   7796,  12873,  12874, 
/* msg =   4033, deg = 10 */      1,    687,   1077,   1168,   1641,   2002,   4177,   6716,  12874,  12875, 
/* msg =   4034, deg = 10 */    140,    432,    934,   1282,   1658,   3465,   5641,   6803,  12875,  12876, 
/* msg =   4035, deg = 10 */    100,    651,    923,   1406,   1754,   3447,   3904,   8029,  12876,  12877, 
/* msg =   4036, deg = 10 */    230,    585,   1011,   1288,   1690,   3174,   3624,   7410,  12878,  12879, 
/* msg =   4037, deg = 10 */    222,    563,    789,   1184,   1670,   2747,   4043,   7786,  12879,  12880, 
/* msg =   4038, deg = 10 */    357,    471,    927,   1195,   1647,   2931,   4792,   8469,  12880,  12881, 
/* msg =   4039, deg = 10 */    340,    566,    939,   1320,   1504,   2477,   4893,   7661,  12881,  12882, 
/* msg =   4040, deg = 10 */    324,    589,   1005,   1149,   1783,   1808,   5110,   7974,  12882,  12883, 
/* msg =   4041, deg = 10 */    108,    584,    995,   1361,   1647,   3198,   4610,   7049,  12883,  12884, 
/* msg =   4042, deg = 10 */    174,    477,   1003,   1319,   1610,   3512,   4265,   7076,  12884,  12885, 
/* msg =   4043, deg = 10 */    107,    566,   1025,   1326,   1603,   3307,   5462,   7403,  12885,  12886, 
/* msg =   4044, deg = 10 */     29,    594,    998,   1289,   1659,   2014,   6102,   6966,  12886,  12887, 
/* msg =   4045, deg = 10 */    184,    650,   1027,   1122,   1598,   2570,   4636,   8242,  12887,  12888, 
/* msg =   4046, deg = 10 */    220,    570,    985,   1255,   1647,   2851,   5474,   8434,  12888,  12889, 
/* msg =   4047, deg = 10 */    316,    644,    783,   1307,   1600,   2382,   5809,   6692,  12889,  12890, 
/* msg =   4048, deg = 10 */    291,    655,    966,   1365,   1580,   1803,   4424,   8487,  12890,  12891, 
/* msg =   4049, deg = 10 */    182,    708,    788,   1123,   1634,   2365,   5157,   6242,  12891,  12892, 
/* msg =   4050, deg = 10 */    201,    576,    951,   1184,   1655,   2750,   3802,   6391,  12892,  12893, 
/* msg =   4051, deg = 10 */     99,    473,   1054,   1213,   1585,   2436,   4901,   6358,  12893,  12894, 
/* msg =   4052, deg = 10 */    349,    612,   1047,   1316,   1796,   3114,   5076,   7797,  12894,  12895, 
/* msg =   4053, deg = 10 */      2,    688,   1078,   1169,   1642,   2003,   4178,   6717,  12895,  12896, 
/* msg =   4054, deg = 10 */    141,    433,    935,   1283,   1659,   3466,   5642,   6804,  12896,  12897, 
/* msg =   4055, deg = 10 */    101,    652,    924,   1407,   1755,   3448,   3905,   8030,  12897,  12898, 
/* msg =   4056, deg = 10 */    231,    586,   1012,   1289,   1691,   3175,   3625,   7411,  12899,  12900, 
/* msg =   4057, deg = 10 */    223,    564,    790,   1185,   1671,   2748,   4044,   7787,  12900,  12901, 
/* msg =   4058, deg = 10 */    358,    472,    928,   1196,   1648,   2932,   4793,   8470,  12901,  12902, 
/* msg =   4059, deg = 10 */    341,    567,    940,   1321,   1505,   2478,   4894,   7662,  12902,  12903, 
/* msg =   4060, deg = 10 */    325,    590,   1006,   1150,   1784,   1809,   5111,   7975,  12903,  12904, 
/* msg =   4061, deg = 10 */    109,    585,    996,   1362,   1648,   3199,   4611,   7050,  12904,  12905, 
/* msg =   4062, deg = 10 */    175,    478,   1004,   1320,   1611,   3513,   4266,   7077,  12905,  12906, 
/* msg =   4063, deg = 10 */    108,    567,   1026,   1327,   1604,   3308,   5463,   7404,  12906,  12907, 
/* msg =   4064, deg = 10 */     30,    595,    999,   1290,   1660,   2015,   6103,   6967,  12907,  12908, 
/* msg =   4065, deg = 10 */    185,    651,   1028,   1123,   1599,   2571,   4637,   8243,  12908,  12909, 
/* msg =   4066, deg = 10 */    221,    571,    986,   1256,   1648,   2852,   5475,   8435,  12909,  12910, 
/* msg =   4067, deg = 10 */    317,    645,    784,   1308,   1601,   2383,   5810,   6693,  12910,  12911, 
/* msg =   4068, deg = 10 */    292,    656,    967,   1366,   1581,   1804,   4425,   8488,  12911,  12912, 
/* msg =   4069, deg = 10 */    183,    709,    789,   1124,   1635,   2366,   5158,   6243,  12912,  12913, 
/* msg =   4070, deg = 10 */    202,    577,    952,   1185,   1656,   2751,   3803,   6392,  12913,  12914, 
/* msg =   4071, deg = 10 */    100,    474,   1055,   1214,   1586,   2437,   4902,   6359,  12914,  12915, 
/* msg =   4072, deg = 10 */    350,    613,   1048,   1317,   1797,   3115,   5077,   7798,  12915,  12916, 
/* msg =   4073, deg = 10 */      3,    689,   1079,   1170,   1643,   2004,   4179,   6718,  12916,  12917, 
/* msg =   4074, deg = 10 */    142,    434,    936,   1284,   1660,   3467,   5643,   6805,  12917,  12918, 
/* msg =   4075, deg = 10 */    102,    653,    925,   1408,   1756,   3449,   3906,   8031,  12918,  12919, 
/* msg =   4076, deg = 10 */    232,    587,   1013,   1290,   1692,   3176,   3626,   7412,  12920,  12921, 
/* msg =   4077, deg = 10 */    224,    565,    791,   1186,   1672,   2749,   4045,   7788,  12921,  12922, 
/* msg =   4078, deg = 10 */    359,    473,    929,   1197,   1649,   2933,   4794,   8471,  12922,  12923, 
/* msg =   4079, deg = 10 */    342,    568,    941,   1322,   1506,   2479,   4895,   7663,  12923,  12924, 
/* msg =   4080, deg = 10 */    326,    591,   1007,   1151,   1785,   1810,   5112,   7976,  12924,  12925, 
/* msg =   4081, deg = 10 */    110,    586,    997,   1363,   1649,   3200,   4612,   7051,  12925,  12926, 
/* msg =   4082, deg = 10 */    176,    479,   1005,   1321,   1612,   3514,   4267,   7078,  12926,  12927, 
/* msg =   4083, deg = 10 */    109,    568,   1027,   1328,   1605,   3309,   5464,   7405,  12927,  12928, 
/* msg =   4084, deg = 10 */     31,    596,   1000,   1291,   1661,   2016,   6104,   6968,  12928,  12929, 
/* msg =   4085, deg = 10 */    186,    652,   1029,   1124,   1600,   2572,   4638,   8244,  12929,  12930, 
/* msg =   4086, deg = 10 */    222,    572,    987,   1257,   1649,   2853,   5476,   8436,  12930,  12931, 
/* msg =   4087, deg = 10 */    318,    646,    785,   1309,   1602,   2384,   5811,   6694,  12931,  12932, 
/* msg =   4088, deg = 10 */    293,    657,    968,   1367,   1582,   1805,   4426,   8489,  12932,  12933, 
/* msg =   4089, deg = 10 */    184,    710,    790,   1125,   1636,   2367,   5159,   6244,  12933,  12934, 
/* msg =   4090, deg = 10 */    203,    578,    953,   1186,   1657,   2752,   3804,   6393,  12934,  12935, 
/* msg =   4091, deg = 10 */    101,    475,   1056,   1215,   1587,   2438,   4903,   6360,  12935,  12936, 
/* msg =   4092, deg = 10 */    351,    614,   1049,   1318,   1798,   3116,   5078,   7799,  12936,  12937, 
/* msg =   4093, deg = 10 */      4,    690,    720,   1171,   1644,   2005,   4180,   6719,  12937,  12938, 
/* msg =   4094, deg = 10 */    143,    435,    937,   1285,   1661,   3468,   5644,   6806,  12938,  12939, 
/* msg =   4095, deg = 10 */    103,    654,    926,   1409,   1757,   3450,   3907,   8032,  12939,  12940, 
/* msg =   4096, deg = 10 */    233,    588,   1014,   1291,   1693,   3177,   3627,   7413,  12941,  12942, 
/* msg =   4097, deg = 10 */    225,    566,    792,   1187,   1673,   2750,   4046,   7789,  12942,  12943, 
/* msg =   4098, deg = 10 */      0,    474,    930,   1198,   1650,   2934,   4795,   8472,  12943,  12944, 
/* msg =   4099, deg = 10 */    343,    569,    942,   1323,   1507,   2480,   4896,   7664,  12944,  12945, 
/* msg =   4100, deg = 10 */    327,    592,   1008,   1152,   1786,   1811,   5113,   7977,  12945,  12946, 
/* msg =   4101, deg = 10 */    111,    587,    998,   1364,   1650,   3201,   4613,   7052,  12946,  12947, 
/* msg =   4102, deg = 10 */    177,    480,   1006,   1322,   1613,   3515,   4268,   7079,  12947,  12948, 
/* msg =   4103, deg = 10 */    110,    569,   1028,   1329,   1606,   3310,   5465,   7406,  12948,  12949, 
/* msg =   4104, deg = 10 */     32,    597,   1001,   1292,   1662,   2017,   6105,   6969,  12949,  12950, 
/* msg =   4105, deg = 10 */    187,    653,   1030,   1125,   1601,   2573,   4639,   8245,  12950,  12951, 
/* msg =   4106, deg = 10 */    223,    573,    988,   1258,   1650,   2854,   5477,   8437,  12951,  12952, 
/* msg =   4107, deg = 10 */    319,    647,    786,   1310,   1603,   2385,   5812,   6695,  12952,  12953, 
/* msg =   4108, deg = 10 */    294,    658,    969,   1368,   1583,   1806,   4427,   8490,  12953,  12954, 
/* msg =   4109, deg = 10 */    185,    711,    791,   1126,   1637,   2368,   5160,   6245,  12954,  12955, 
/* msg =   4110, deg = 10 */    204,    579,    954,   1187,   1658,   2753,   3805,   6394,  12955,  12956, 
/* msg =   4111, deg = 10 */    102,    476,   1057,   1216,   1588,   2439,   4904,   6361,  12956,  12957, 
/* msg =   4112, deg = 10 */    352,    615,   1050,   1319,   1799,   3117,   5079,   7800,  12957,  12958, 
/* msg =   4113, deg = 10 */      5,    691,    721,   1172,   1645,   2006,   4181,   6720,  12958,  12959, 
/* msg =   4114, deg = 10 */    144,    436,    938,   1286,   1662,   3469,   5645,   6807,  12959,  12960, 
/* msg =   4115, deg = 10 */    104,    655,    927,   1410,   1758,   3451,   3908,   8033,  12960,  12961, 
/* msg =   4116, deg = 10 */    234,    589,   1015,   1292,   1694,   3178,   3628,   7414,  12962,  12963, 
/* msg =   4117, deg = 10 */    226,    567,    793,   1188,   1674,   2751,   4047,   7790,  12963,  12964, 
/* msg =   4118, deg = 10 */      1,    475,    931,   1199,   1651,   2935,   4796,   8473,  12964,  12965, 
/* msg =   4119, deg = 10 */    344,    570,    943,   1324,   1508,   2481,   4897,   7665,  12965,  12966, 
/* msg =   4120, deg = 10 */    328,    593,   1009,   1153,   1787,   1812,   5114,   7978,  12966,  12967, 
/* msg =   4121, deg = 10 */    112,    588,    999,   1365,   1651,   3202,   4614,   7053,  12967,  12968, 
/* msg =   4122, deg = 10 */    178,    481,   1007,   1323,   1614,   3516,   4269,   7080,  12968,  12969, 
/* msg =   4123, deg = 10 */    111,    570,   1029,   1330,   1607,   3311,   5466,   7407,  12969,  12970, 
/* msg =   4124, deg = 10 */     33,    598,   1002,   1293,   1663,   2018,   6106,   6970,  12970,  12971, 
/* msg =   4125, deg = 10 */    188,    654,   1031,   1126,   1602,   2574,   4640,   8246,  12971,  12972, 
/* msg =   4126, deg = 10 */    224,    574,    989,   1259,   1651,   2855,   5478,   8438,  12972,  12973, 
/* msg =   4127, deg = 10 */    320,    648,    787,   1311,   1604,   2386,   5813,   6696,  12973,  12974, 
/* msg =   4128, deg = 10 */    295,    659,    970,   1369,   1584,   1807,   4428,   8491,  12974,  12975, 
/* msg =   4129, deg = 10 */    186,    712,    792,   1127,   1638,   2369,   5161,   6246,  12975,  12976, 
/* msg =   4130, deg = 10 */    205,    580,    955,   1188,   1659,   2754,   3806,   6395,  12976,  12977, 
/* msg =   4131, deg = 10 */    103,    477,   1058,   1217,   1589,   2440,   4905,   6362,  12977,  12978, 
/* msg =   4132, deg = 10 */    353,    616,   1051,   1320,   1440,   3118,   5080,   7801,  12978,  12979, 
/* msg =   4133, deg = 10 */      6,    692,    722,   1173,   1646,   2007,   4182,   6721,  12979,  12980, 
/* msg =   4134, deg = 10 */    145,    437,    939,   1287,   1663,   3470,   5646,   6808,  12980,  12981, 
/* msg =   4135, deg = 10 */    105,    656,    928,   1411,   1759,   3452,   3909,   8034,  12981,  12982, 
/* msg =   4136, deg = 10 */    235,    590,   1016,   1293,   1695,   3179,   3629,   7415,  12983,  12984, 
/* msg =   4137, deg = 10 */    227,    568,    794,   1189,   1675,   2752,   4048,   7791,  12984,  12985, 
/* msg =   4138, deg = 10 */      2,    476,    932,   1200,   1652,   2936,   4797,   8474,  12985,  12986, 
/* msg =   4139, deg = 10 */    345,    571,    944,   1325,   1509,   2482,   4898,   7666,  12986,  12987, 
/* msg =   4140, deg = 10 */    329,    594,   1010,   1154,   1788,   1813,   5115,   7979,  12987,  12988, 
/* msg =   4141, deg = 10 */    113,    589,   1000,   1366,   1652,   3203,   4615,   7054,  12988,  12989, 
/* msg =   4142, deg = 10 */    179,    482,   1008,   1324,   1615,   3517,   4270,   7081,  12989,  12990, 
/* msg =   4143, deg = 10 */    112,    571,   1030,   1331,   1608,   3312,   5467,   7408,  12990,  12991, 
/* msg =   4144, deg = 10 */     34,    599,   1003,   1294,   1664,   2019,   6107,   6971,  12991,  12992, 
/* msg =   4145, deg = 10 */    189,    655,   1032,   1127,   1603,   2575,   4641,   8247,  12992,  12993, 
/* msg =   4146, deg = 10 */    225,    575,    990,   1260,   1652,   2856,   5479,   8439,  12993,  12994, 
/* msg =   4147, deg = 10 */    321,    649,    788,   1312,   1605,   2387,   5814,   6697,  12994,  12995, 
/* msg =   4148, deg = 10 */    296,    660,    971,   1370,   1585,   1808,   4429,   8492,  12995,  12996, 
/* msg =   4149, deg = 10 */    187,    713,    793,   1128,   1639,   2370,   5162,   6247,  12996,  12997, 
/* msg =   4150, deg = 10 */    206,    581,    956,   1189,   1660,   2755,   3807,   6396,  12997,  12998, 
/* msg =   4151, deg = 10 */    104,    478,   1059,   1218,   1590,   2441,   4906,   6363,  12998,  12999, 
/* msg =   4152, deg = 10 */    354,    617,   1052,   1321,   1441,   3119,   5081,   7802,  12999,  13000, 
/* msg =   4153, deg = 10 */      7,    693,    723,   1174,   1647,   2008,   4183,   6722,  13000,  13001, 
/* msg =   4154, deg = 10 */    146,    438,    940,   1288,   1664,   3471,   5647,   6809,  13001,  13002, 
/* msg =   4155, deg = 10 */    106,    657,    929,   1412,   1760,   3453,   3910,   8035,  13002,  13003, 
/* msg =   4156, deg = 10 */    236,    591,   1017,   1294,   1696,   3180,   3630,   7416,  13004,  13005, 
/* msg =   4157, deg = 10 */    228,    569,    795,   1190,   1676,   2753,   4049,   7792,  13005,  13006, 
/* msg =   4158, deg = 10 */      3,    477,    933,   1201,   1653,   2937,   4798,   8475,  13006,  13007, 
/* msg =   4159, deg = 10 */    346,    572,    945,   1326,   1510,   2483,   4899,   7667,  13007,  13008, 
/* msg =   4160, deg = 10 */    330,    595,   1011,   1155,   1789,   1814,   5116,   7980,  13008,  13009, 
/* msg =   4161, deg = 10 */    114,    590,   1001,   1367,   1653,   3204,   4616,   7055,  13009,  13010, 
/* msg =   4162, deg = 10 */    180,    483,   1009,   1325,   1616,   3518,   4271,   7082,  13010,  13011, 
/* msg =   4163, deg = 10 */    113,    572,   1031,   1332,   1609,   3313,   5468,   7409,  13011,  13012, 
/* msg =   4164, deg = 10 */     35,    600,   1004,   1295,   1665,   2020,   6108,   6972,  13012,  13013, 
/* msg =   4165, deg = 10 */    190,    656,   1033,   1128,   1604,   2576,   4642,   8248,  13013,  13014, 
/* msg =   4166, deg = 10 */    226,    576,    991,   1261,   1653,   2857,   5480,   8440,  13014,  13015, 
/* msg =   4167, deg = 10 */    322,    650,    789,   1313,   1606,   2388,   5815,   6698,  13015,  13016, 
/* msg =   4168, deg = 10 */    297,    661,    972,   1371,   1586,   1809,   4430,   8493,  13016,  13017, 
/* msg =   4169, deg = 10 */    188,    714,    794,   1129,   1640,   2371,   5163,   6248,  13017,  13018, 
/* msg =   4170, deg = 10 */    207,    582,    957,   1190,   1661,   2756,   3808,   6397,  13018,  13019, 
/* msg =   4171, deg = 10 */    105,    479,   1060,   1219,   1591,   2442,   4907,   6364,  13019,  13020, 
/* msg =   4172, deg = 10 */    355,    618,   1053,   1322,   1442,   3120,   5082,   7803,  13020,  13021, 
/* msg =   4173, deg = 10 */      8,    694,    724,   1175,   1648,   2009,   4184,   6723,  13021,  13022, 
/* msg =   4174, deg = 10 */    147,    439,    941,   1289,   1665,   3472,   5648,   6810,  13022,  13023, 
/* msg =   4175, deg = 10 */    107,    658,    930,   1413,   1761,   3454,   3911,   8036,  13023,  13024, 
/* msg =   4176, deg = 10 */    237,    592,   1018,   1295,   1697,   3181,   3631,   7417,  13025,  13026, 
/* msg =   4177, deg = 10 */    229,    570,    796,   1191,   1677,   2754,   4050,   7793,  13026,  13027, 
/* msg =   4178, deg = 10 */      4,    478,    934,   1202,   1654,   2938,   4799,   8476,  13027,  13028, 
/* msg =   4179, deg = 10 */    347,    573,    946,   1327,   1511,   2484,   4900,   7668,  13028,  13029, 
/* msg =   4180, deg = 10 */    331,    596,   1012,   1156,   1790,   1815,   5117,   7981,  13029,  13030, 
/* msg =   4181, deg = 10 */    115,    591,   1002,   1368,   1654,   3205,   4617,   7056,  13030,  13031, 
/* msg =   4182, deg = 10 */    181,    484,   1010,   1326,   1617,   3519,   4272,   7083,  13031,  13032, 
/* msg =   4183, deg = 10 */    114,    573,   1032,   1333,   1610,   3314,   5469,   7410,  13032,  13033, 
/* msg =   4184, deg = 10 */     36,    601,   1005,   1296,   1666,   2021,   6109,   6973,  13033,  13034, 
/* msg =   4185, deg = 10 */    191,    657,   1034,   1129,   1605,   2577,   4643,   8249,  13034,  13035, 
/* msg =   4186, deg = 10 */    227,    577,    992,   1262,   1654,   2858,   5481,   8441,  13035,  13036, 
/* msg =   4187, deg = 10 */    323,    651,    790,   1314,   1607,   2389,   5816,   6699,  13036,  13037, 
/* msg =   4188, deg = 10 */    298,    662,    973,   1372,   1587,   1810,   4431,   8494,  13037,  13038, 
/* msg =   4189, deg = 10 */    189,    715,    795,   1130,   1641,   2372,   5164,   6249,  13038,  13039, 
/* msg =   4190, deg = 10 */    208,    583,    958,   1191,   1662,   2757,   3809,   6398,  13039,  13040, 
/* msg =   4191, deg = 10 */    106,    480,   1061,   1220,   1592,   2443,   4908,   6365,  13040,  13041, 
/* msg =   4192, deg = 10 */    356,    619,   1054,   1323,   1443,   3121,   5083,   7804,  13041,  13042, 
/* msg =   4193, deg = 10 */      9,    695,    725,   1176,   1649,   2010,   4185,   6724,  13042,  13043, 
/* msg =   4194, deg = 10 */    148,    440,    942,   1290,   1666,   3473,   5649,   6811,  13043,  13044, 
/* msg =   4195, deg = 10 */    108,    659,    931,   1414,   1762,   3455,   3912,   8037,  13044,  13045, 
/* msg =   4196, deg = 10 */    238,    593,   1019,   1296,   1698,   3182,   3632,   7418,  13046,  13047, 
/* msg =   4197, deg = 10 */    230,    571,    797,   1192,   1678,   2755,   4051,   7794,  13047,  13048, 
/* msg =   4198, deg = 10 */      5,    479,    935,   1203,   1655,   2939,   4800,   8477,  13048,  13049, 
/* msg =   4199, deg = 10 */    348,    574,    947,   1328,   1512,   2485,   4901,   7669,  13049,  13050, 
/* msg =   4200, deg = 10 */    332,    597,   1013,   1157,   1791,   1816,   5118,   7982,  13050,  13051, 
/* msg =   4201, deg = 10 */    116,    592,   1003,   1369,   1655,   3206,   4618,   7057,  13051,  13052, 
/* msg =   4202, deg = 10 */    182,    485,   1011,   1327,   1618,   3520,   4273,   7084,  13052,  13053, 
/* msg =   4203, deg = 10 */    115,    574,   1033,   1334,   1611,   3315,   5470,   7411,  13053,  13054, 
/* msg =   4204, deg = 10 */     37,    602,   1006,   1297,   1667,   2022,   6110,   6974,  13054,  13055, 
/* msg =   4205, deg = 10 */    192,    658,   1035,   1130,   1606,   2578,   4644,   8250,  13055,  13056, 
/* msg =   4206, deg = 10 */    228,    578,    993,   1263,   1655,   2859,   5482,   8442,  13056,  13057, 
/* msg =   4207, deg = 10 */    324,    652,    791,   1315,   1608,   2390,   5817,   6700,  13057,  13058, 
/* msg =   4208, deg = 10 */    299,    663,    974,   1373,   1588,   1811,   4432,   8495,  13058,  13059, 
/* msg =   4209, deg = 10 */    190,    716,    796,   1131,   1642,   2373,   5165,   6250,  13059,  13060, 
/* msg =   4210, deg = 10 */    209,    584,    959,   1192,   1663,   2758,   3810,   6399,  13060,  13061, 
/* msg =   4211, deg = 10 */    107,    481,   1062,   1221,   1593,   2444,   4909,   6366,  13061,  13062, 
/* msg =   4212, deg = 10 */    357,    620,   1055,   1324,   1444,   3122,   5084,   7805,  13062,  13063, 
/* msg =   4213, deg = 10 */     10,    696,    726,   1177,   1650,   2011,   4186,   6725,  13063,  13064, 
/* msg =   4214, deg = 10 */    149,    441,    943,   1291,   1667,   3474,   5650,   6812,  13064,  13065, 
/* msg =   4215, deg = 10 */    109,    660,    932,   1415,   1763,   3456,   3913,   8038,  13065,  13066, 
/* msg =   4216, deg = 10 */    239,    594,   1020,   1297,   1699,   3183,   3633,   7419,  13067,  13068, 
/* msg =   4217, deg = 10 */    231,    572,    798,   1193,   1679,   2756,   4052,   7795,  13068,  13069, 
/* msg =   4218, deg = 10 */      6,    480,    936,   1204,   1656,   2940,   4801,   8478,  13069,  13070, 
/* msg =   4219, deg = 10 */    349,    575,    948,   1329,   1513,   2486,   4902,   7670,  13070,  13071, 
/* msg =   4220, deg = 10 */    333,    598,   1014,   1158,   1792,   1817,   5119,   7983,  13071,  13072, 
/* msg =   4221, deg = 10 */    117,    593,   1004,   1370,   1656,   3207,   4619,   7058,  13072,  13073, 
/* msg =   4222, deg = 10 */    183,    486,   1012,   1328,   1619,   3521,   4274,   7085,  13073,  13074, 
/* msg =   4223, deg = 10 */    116,    575,   1034,   1335,   1612,   3316,   5471,   7412,  13074,  13075, 
/* msg =   4224, deg = 10 */     38,    603,   1007,   1298,   1668,   2023,   6111,   6975,  13075,  13076, 
/* msg =   4225, deg = 10 */    193,    659,   1036,   1131,   1607,   2579,   4645,   8251,  13076,  13077, 
/* msg =   4226, deg = 10 */    229,    579,    994,   1264,   1656,   2860,   5483,   8443,  13077,  13078, 
/* msg =   4227, deg = 10 */    325,    653,    792,   1316,   1609,   2391,   5818,   6701,  13078,  13079, 
/* msg =   4228, deg = 10 */    300,    664,    975,   1374,   1589,   1812,   4433,   8496,  13079,  13080, 
/* msg =   4229, deg = 10 */    191,    717,    797,   1132,   1643,   2374,   5166,   6251,  13080,  13081, 
/* msg =   4230, deg = 10 */    210,    585,    960,   1193,   1664,   2759,   3811,   6400,  13081,  13082, 
/* msg =   4231, deg = 10 */    108,    482,   1063,   1222,   1594,   2445,   4910,   6367,  13082,  13083, 
/* msg =   4232, deg = 10 */    358,    621,   1056,   1325,   1445,   3123,   5085,   7806,  13083,  13084, 
/* msg =   4233, deg = 10 */     11,    697,    727,   1178,   1651,   2012,   4187,   6726,  13084,  13085, 
/* msg =   4234, deg = 10 */    150,    442,    944,   1292,   1668,   3475,   5651,   6813,  13085,  13086, 
/* msg =   4235, deg = 10 */    110,    661,    933,   1416,   1764,   3457,   3914,   8039,  13086,  13087, 
/* msg =   4236, deg = 10 */    240,    595,   1021,   1298,   1700,   3184,   3634,   7420,  13088,  13089, 
/* msg =   4237, deg = 10 */    232,    573,    799,   1194,   1680,   2757,   4053,   7796,  13089,  13090, 
/* msg =   4238, deg = 10 */      7,    481,    937,   1205,   1657,   2941,   4802,   8479,  13090,  13091, 
/* msg =   4239, deg = 10 */    350,    576,    949,   1330,   1514,   2487,   4903,   7671,  13091,  13092, 
/* msg =   4240, deg = 10 */    334,    599,   1015,   1159,   1793,   1818,   5120,   7984,  13092,  13093, 
/* msg =   4241, deg = 10 */    118,    594,   1005,   1371,   1657,   3208,   4620,   7059,  13093,  13094, 
/* msg =   4242, deg = 10 */    184,    487,   1013,   1329,   1620,   3522,   4275,   7086,  13094,  13095, 
/* msg =   4243, deg = 10 */    117,    576,   1035,   1336,   1613,   3317,   5472,   7413,  13095,  13096, 
/* msg =   4244, deg = 10 */     39,    604,   1008,   1299,   1669,   2024,   6112,   6976,  13096,  13097, 
/* msg =   4245, deg = 10 */    194,    660,   1037,   1132,   1608,   2580,   4646,   8252,  13097,  13098, 
/* msg =   4246, deg = 10 */    230,    580,    995,   1265,   1657,   2861,   5484,   8444,  13098,  13099, 
/* msg =   4247, deg = 10 */    326,    654,    793,   1317,   1610,   2392,   5819,   6702,  13099,  13100, 
/* msg =   4248, deg = 10 */    301,    665,    976,   1375,   1590,   1813,   4434,   8497,  13100,  13101, 
/* msg =   4249, deg = 10 */    192,    718,    798,   1133,   1644,   2375,   5167,   6252,  13101,  13102, 
/* msg =   4250, deg = 10 */    211,    586,    961,   1194,   1665,   2760,   3812,   6401,  13102,  13103, 
/* msg =   4251, deg = 10 */    109,    483,   1064,   1223,   1595,   2446,   4911,   6368,  13103,  13104, 
/* msg =   4252, deg = 10 */    359,    622,   1057,   1326,   1446,   3124,   5086,   7807,  13104,  13105, 
/* msg =   4253, deg = 10 */     12,    698,    728,   1179,   1652,   2013,   4188,   6727,  13105,  13106, 
/* msg =   4254, deg = 10 */    151,    443,    945,   1293,   1669,   3476,   5652,   6814,  13106,  13107, 
/* msg =   4255, deg = 10 */    111,    662,    934,   1417,   1765,   3458,   3915,   8040,  13107,  13108, 
/* msg =   4256, deg = 10 */    241,    596,   1022,   1299,   1701,   3185,   3635,   7421,  13109,  13110, 
/* msg =   4257, deg = 10 */    233,    574,    800,   1195,   1681,   2758,   4054,   7797,  13110,  13111, 
/* msg =   4258, deg = 10 */      8,    482,    938,   1206,   1658,   2942,   4803,   8480,  13111,  13112, 
/* msg =   4259, deg = 10 */    351,    577,    950,   1331,   1515,   2488,   4904,   7672,  13112,  13113, 
/* msg =   4260, deg = 10 */    335,    600,   1016,   1160,   1794,   1819,   5121,   7985,  13113,  13114, 
/* msg =   4261, deg = 10 */    119,    595,   1006,   1372,   1658,   3209,   4621,   7060,  13114,  13115, 
/* msg =   4262, deg = 10 */    185,    488,   1014,   1330,   1621,   3523,   4276,   7087,  13115,  13116, 
/* msg =   4263, deg = 10 */    118,    577,   1036,   1337,   1614,   3318,   5473,   7414,  13116,  13117, 
/* msg =   4264, deg = 10 */     40,    605,   1009,   1300,   1670,   2025,   6113,   6977,  13117,  13118, 
/* msg =   4265, deg = 10 */    195,    661,   1038,   1133,   1609,   2581,   4647,   8253,  13118,  13119, 
/* msg =   4266, deg = 10 */    231,    581,    996,   1266,   1658,   2862,   5485,   8445,  13119,  13120, 
/* msg =   4267, deg = 10 */    327,    655,    794,   1318,   1611,   2393,   5820,   6703,  13120,  13121, 
/* msg =   4268, deg = 10 */    302,    666,    977,   1376,   1591,   1814,   4435,   8498,  13121,  13122, 
/* msg =   4269, deg = 10 */    193,    719,    799,   1134,   1645,   2376,   5168,   6253,  13122,  13123, 
/* msg =   4270, deg = 10 */    212,    587,    962,   1195,   1666,   2761,   3813,   6402,  13123,  13124, 
/* msg =   4271, deg = 10 */    110,    484,   1065,   1224,   1596,   2447,   4912,   6369,  13124,  13125, 
/* msg =   4272, deg = 10 */      0,    623,   1058,   1327,   1447,   3125,   5087,   7808,  13125,  13126, 
/* msg =   4273, deg = 10 */     13,    699,    729,   1180,   1653,   2014,   4189,   6728,  13126,  13127, 
/* msg =   4274, deg = 10 */    152,    444,    946,   1294,   1670,   3477,   5653,   6815,  13127,  13128, 
/* msg =   4275, deg = 10 */    112,    663,    935,   1418,   1766,   3459,   3916,   8041,  13128,  13129, 
/* msg =   4276, deg = 10 */    242,    597,   1023,   1300,   1702,   3186,   3636,   7422,  13130,  13131, 
/* msg =   4277, deg = 10 */    234,    575,    801,   1196,   1682,   2759,   4055,   7798,  13131,  13132, 
/* msg =   4278, deg = 10 */      9,    483,    939,   1207,   1659,   2943,   4804,   8481,  13132,  13133, 
/* msg =   4279, deg = 10 */    352,    578,    951,   1332,   1516,   2489,   4905,   7673,  13133,  13134, 
/* msg =   4280, deg = 10 */    336,    601,   1017,   1161,   1795,   1820,   5122,   7986,  13134,  13135, 
/* msg =   4281, deg = 10 */    120,    596,   1007,   1373,   1659,   3210,   4622,   7061,  13135,  13136, 
/* msg =   4282, deg = 10 */    186,    489,   1015,   1331,   1622,   3524,   4277,   7088,  13136,  13137, 
/* msg =   4283, deg = 10 */    119,    578,   1037,   1338,   1615,   3319,   5474,   7415,  13137,  13138, 
/* msg =   4284, deg = 10 */     41,    606,   1010,   1301,   1671,   2026,   6114,   6978,  13138,  13139, 
/* msg =   4285, deg = 10 */    196,    662,   1039,   1134,   1610,   2582,   4648,   8254,  13139,  13140, 
/* msg =   4286, deg = 10 */    232,    582,    997,   1267,   1659,   2863,   5486,   8446,  13140,  13141, 
/* msg =   4287, deg = 10 */    328,    656,    795,   1319,   1612,   2394,   5821,   6704,  13141,  13142, 
/* msg =   4288, deg = 10 */    303,    667,    978,   1377,   1592,   1815,   4436,   8499,  13142,  13143, 
/* msg =   4289, deg = 10 */    194,    360,    800,   1135,   1646,   2377,   5169,   6254,  13143,  13144, 
/* msg =   4290, deg = 10 */    213,    588,    963,   1196,   1667,   2762,   3814,   6403,  13144,  13145, 
/* msg =   4291, deg = 10 */    111,    485,   1066,   1225,   1597,   2448,   4913,   6370,  13145,  13146, 
/* msg =   4292, deg = 10 */      1,    624,   1059,   1328,   1448,   3126,   5088,   7809,  13146,  13147, 
/* msg =   4293, deg = 10 */     14,    700,    730,   1181,   1654,   2015,   4190,   6729,  13147,  13148, 
/* msg =   4294, deg = 10 */    153,    445,    947,   1295,   1671,   3478,   5654,   6816,  13148,  13149, 
/* msg =   4295, deg = 10 */    113,    664,    936,   1419,   1767,   3460,   3917,   8042,  13149,  13150, 
/* msg =   4296, deg = 10 */    243,    598,   1024,   1301,   1703,   3187,   3637,   7423,  13151,  13152, 
/* msg =   4297, deg = 10 */    235,    576,    802,   1197,   1683,   2760,   4056,   7799,  13152,  13153, 
/* msg =   4298, deg = 10 */     10,    484,    940,   1208,   1660,   2944,   4805,   8482,  13153,  13154, 
/* msg =   4299, deg = 10 */    353,    579,    952,   1333,   1517,   2490,   4906,   7674,  13154,  13155, 
/* msg =   4300, deg = 10 */    337,    602,   1018,   1162,   1796,   1821,   5123,   7987,  13155,  13156, 
/* msg =   4301, deg = 10 */    121,    597,   1008,   1374,   1660,   3211,   4623,   7062,  13156,  13157, 
/* msg =   4302, deg = 10 */    187,    490,   1016,   1332,   1623,   3525,   4278,   7089,  13157,  13158, 
/* msg =   4303, deg = 10 */    120,    579,   1038,   1339,   1616,   3320,   5475,   7416,  13158,  13159, 
/* msg =   4304, deg = 10 */     42,    607,   1011,   1302,   1672,   2027,   6115,   6979,  13159,  13160, 
/* msg =   4305, deg = 10 */    197,    663,   1040,   1135,   1611,   2583,   4649,   8255,  13160,  13161, 
/* msg =   4306, deg = 10 */    233,    583,    998,   1268,   1660,   2864,   5487,   8447,  13161,  13162, 
/* msg =   4307, deg = 10 */    329,    657,    796,   1320,   1613,   2395,   5822,   6705,  13162,  13163, 
/* msg =   4308, deg = 10 */    304,    668,    979,   1378,   1593,   1816,   4437,   8500,  13163,  13164, 
/* msg =   4309, deg = 10 */    195,    361,    801,   1136,   1647,   2378,   5170,   6255,  13164,  13165, 
/* msg =   4310, deg = 10 */    214,    589,    964,   1197,   1668,   2763,   3815,   6404,  13165,  13166, 
/* msg =   4311, deg = 10 */    112,    486,   1067,   1226,   1598,   2449,   4914,   6371,  13166,  13167, 
/* msg =   4312, deg = 10 */      2,    625,   1060,   1329,   1449,   3127,   5089,   7810,  13167,  13168, 
/* msg =   4313, deg = 10 */     15,    701,    731,   1182,   1655,   2016,   4191,   6730,  13168,  13169, 
/* msg =   4314, deg = 10 */    154,    446,    948,   1296,   1672,   3479,   5655,   6817,  13169,  13170, 
/* msg =   4315, deg = 10 */    114,    665,    937,   1420,   1768,   3461,   3918,   8043,  13170,  13171, 
/* msg =   4316, deg = 10 */    244,    599,   1025,   1302,   1704,   3188,   3638,   7424,  13172,  13173, 
/* msg =   4317, deg = 10 */    236,    577,    803,   1198,   1684,   2761,   4057,   7800,  13173,  13174, 
/* msg =   4318, deg = 10 */     11,    485,    941,   1209,   1661,   2945,   4806,   8483,  13174,  13175, 
/* msg =   4319, deg = 10 */    354,    580,    953,   1334,   1518,   2491,   4907,   7675,  13175,  13176, 
/* msg =   4320, deg = 10 */    338,    603,   1019,   1163,   1797,   1822,   5124,   7988,  13176,  13177, 
/* msg =   4321, deg = 10 */    122,    598,   1009,   1375,   1661,   3212,   4624,   7063,  13177,  13178, 
/* msg =   4322, deg = 10 */    188,    491,   1017,   1333,   1624,   3526,   4279,   7090,  13178,  13179, 
/* msg =   4323, deg = 10 */    121,    580,   1039,   1340,   1617,   3321,   5476,   7417,  13179,  13180, 
/* msg =   4324, deg = 10 */     43,    608,   1012,   1303,   1673,   2028,   6116,   6980,  13180,  13181, 
/* msg =   4325, deg = 10 */    198,    664,   1041,   1136,   1612,   2584,   4650,   8256,  13181,  13182, 
/* msg =   4326, deg = 10 */    234,    584,    999,   1269,   1661,   2865,   5488,   8448,  13182,  13183, 
/* msg =   4327, deg = 10 */    330,    658,    797,   1321,   1614,   2396,   5823,   6706,  13183,  13184, 
/* msg =   4328, deg = 10 */    305,    669,    980,   1379,   1594,   1817,   4438,   8501,  13184,  13185, 
/* msg =   4329, deg = 10 */    196,    362,    802,   1137,   1648,   2379,   5171,   6256,  13185,  13186, 
/* msg =   4330, deg = 10 */    215,    590,    965,   1198,   1669,   2764,   3816,   6405,  13186,  13187, 
/* msg =   4331, deg = 10 */    113,    487,   1068,   1227,   1599,   2450,   4915,   6372,  13187,  13188, 
/* msg =   4332, deg = 10 */      3,    626,   1061,   1330,   1450,   3128,   5090,   7811,  13188,  13189, 
/* msg =   4333, deg = 10 */     16,    702,    732,   1183,   1656,   2017,   4192,   6731,  13189,  13190, 
/* msg =   4334, deg = 10 */    155,    447,    949,   1297,   1673,   3480,   5656,   6818,  13190,  13191, 
/* msg =   4335, deg = 10 */    115,    666,    938,   1421,   1769,   3462,   3919,   8044,  13191,  13192, 
/* msg =   4336, deg = 10 */    245,    600,   1026,   1303,   1705,   3189,   3639,   7425,  13193,  13194, 
/* msg =   4337, deg = 10 */    237,    578,    804,   1199,   1685,   2762,   4058,   7801,  13194,  13195, 
/* msg =   4338, deg = 10 */     12,    486,    942,   1210,   1662,   2946,   4807,   8484,  13195,  13196, 
/* msg =   4339, deg = 10 */    355,    581,    954,   1335,   1519,   2492,   4908,   7676,  13196,  13197, 
/* msg =   4340, deg = 10 */    339,    604,   1020,   1164,   1798,   1823,   5125,   7989,  13197,  13198, 
/* msg =   4341, deg = 10 */    123,    599,   1010,   1376,   1662,   3213,   4625,   7064,  13198,  13199, 
/* msg =   4342, deg = 10 */    189,    492,   1018,   1334,   1625,   3527,   4280,   7091,  13199,  13200, 
/* msg =   4343, deg = 10 */    122,    581,   1040,   1341,   1618,   3322,   5477,   7418,  13200,  13201, 
/* msg =   4344, deg = 10 */     44,    609,   1013,   1304,   1674,   2029,   6117,   6981,  13201,  13202, 
/* msg =   4345, deg = 10 */    199,    665,   1042,   1137,   1613,   2585,   4651,   8257,  13202,  13203, 
/* msg =   4346, deg = 10 */    235,    585,   1000,   1270,   1662,   2866,   5489,   8449,  13203,  13204, 
/* msg =   4347, deg = 10 */    331,    659,    798,   1322,   1615,   2397,   5824,   6707,  13204,  13205, 
/* msg =   4348, deg = 10 */    306,    670,    981,   1380,   1595,   1818,   4439,   8502,  13205,  13206, 
/* msg =   4349, deg = 10 */    197,    363,    803,   1138,   1649,   2380,   5172,   6257,  13206,  13207, 
/* msg =   4350, deg = 10 */    216,    591,    966,   1199,   1670,   2765,   3817,   6406,  13207,  13208, 
/* msg =   4351, deg = 10 */    114,    488,   1069,   1228,   1600,   2451,   4916,   6373,  13208,  13209, 
/* msg =   4352, deg = 10 */      4,    627,   1062,   1331,   1451,   3129,   5091,   7812,  13209,  13210, 
/* msg =   4353, deg = 10 */     17,    703,    733,   1184,   1657,   2018,   4193,   6732,  13210,  13211, 
/* msg =   4354, deg = 10 */    156,    448,    950,   1298,   1674,   3481,   5657,   6819,  13211,  13212, 
/* msg =   4355, deg = 10 */    116,    667,    939,   1422,   1770,   3463,   3920,   8045,  13212,  13213, 
/* msg =   4356, deg = 10 */    246,    601,   1027,   1304,   1706,   3190,   3640,   7426,  13214,  13215, 
/* msg =   4357, deg = 10 */    238,    579,    805,   1200,   1686,   2763,   4059,   7802,  13215,  13216, 
/* msg =   4358, deg = 10 */     13,    487,    943,   1211,   1663,   2947,   4808,   8485,  13216,  13217, 
/* msg =   4359, deg = 10 */    356,    582,    955,   1336,   1520,   2493,   4909,   7677,  13217,  13218, 
/* msg =   4360, deg = 10 */    340,    605,   1021,   1165,   1799,   1824,   5126,   7990,  13218,  13219, 
/* msg =   4361, deg = 10 */    124,    600,   1011,   1377,   1663,   3214,   4626,   7065,  13219,  13220, 
/* msg =   4362, deg = 10 */    190,    493,   1019,   1335,   1626,   3528,   4281,   7092,  13220,  13221, 
/* msg =   4363, deg = 10 */    123,    582,   1041,   1342,   1619,   3323,   5478,   7419,  13221,  13222, 
/* msg =   4364, deg = 10 */     45,    610,   1014,   1305,   1675,   2030,   6118,   6982,  13222,  13223, 
/* msg =   4365, deg = 10 */    200,    666,   1043,   1138,   1614,   2586,   4652,   8258,  13223,  13224, 
/* msg =   4366, deg = 10 */    236,    586,   1001,   1271,   1663,   2867,   5490,   8450,  13224,  13225, 
/* msg =   4367, deg = 10 */    332,    660,    799,   1323,   1616,   2398,   5825,   6708,  13225,  13226, 
/* msg =   4368, deg = 10 */    307,    671,    982,   1381,   1596,   1819,   4440,   8503,  13226,  13227, 
/* msg =   4369, deg = 10 */    198,    364,    804,   1139,   1650,   2381,   5173,   6258,  13227,  13228, 
/* msg =   4370, deg = 10 */    217,    592,    967,   1200,   1671,   2766,   3818,   6407,  13228,  13229, 
/* msg =   4371, deg = 10 */    115,    489,   1070,   1229,   1601,   2452,   4917,   6374,  13229,  13230, 
/* msg =   4372, deg = 10 */      5,    628,   1063,   1332,   1452,   3130,   5092,   7813,  13230,  13231, 
/* msg =   4373, deg = 10 */     18,    704,    734,   1185,   1658,   2019,   4194,   6733,  13231,  13232, 
/* msg =   4374, deg = 10 */    157,    449,    951,   1299,   1675,   3482,   5658,   6820,  13232,  13233, 
/* msg =   4375, deg = 10 */    117,    668,    940,   1423,   1771,   3464,   3921,   8046,  13233,  13234, 
/* msg =   4376, deg = 10 */    247,    602,   1028,   1305,   1707,   3191,   3641,   7427,  13235,  13236, 
/* msg =   4377, deg = 10 */    239,    580,    806,   1201,   1687,   2764,   4060,   7803,  13236,  13237, 
/* msg =   4378, deg = 10 */     14,    488,    944,   1212,   1664,   2948,   4809,   8486,  13237,  13238, 
/* msg =   4379, deg = 10 */    357,    583,    956,   1337,   1521,   2494,   4910,   7678,  13238,  13239, 
/* msg =   4380, deg = 10 */    341,    606,   1022,   1166,   1440,   1825,   5127,   7991,  13239,  13240, 
/* msg =   4381, deg = 10 */    125,    601,   1012,   1378,   1664,   3215,   4627,   7066,  13240,  13241, 
/* msg =   4382, deg = 10 */    191,    494,   1020,   1336,   1627,   3529,   4282,   7093,  13241,  13242, 
/* msg =   4383, deg = 10 */    124,    583,   1042,   1343,   1620,   3324,   5479,   7420,  13242,  13243, 
/* msg =   4384, deg = 10 */     46,    611,   1015,   1306,   1676,   2031,   6119,   6983,  13243,  13244, 
/* msg =   4385, deg = 10 */    201,    667,   1044,   1139,   1615,   2587,   4653,   8259,  13244,  13245, 
/* msg =   4386, deg = 10 */    237,    587,   1002,   1272,   1664,   2868,   5491,   8451,  13245,  13246, 
/* msg =   4387, deg = 10 */    333,    661,    800,   1324,   1617,   2399,   5826,   6709,  13246,  13247, 
/* msg =   4388, deg = 10 */    308,    672,    983,   1382,   1597,   1820,   4441,   8504,  13247,  13248, 
/* msg =   4389, deg = 10 */    199,    365,    805,   1140,   1651,   2382,   5174,   6259,  13248,  13249, 
/* msg =   4390, deg = 10 */    218,    593,    968,   1201,   1672,   2767,   3819,   6408,  13249,  13250, 
/* msg =   4391, deg = 10 */    116,    490,   1071,   1230,   1602,   2453,   4918,   6375,  13250,  13251, 
/* msg =   4392, deg = 10 */      6,    629,   1064,   1333,   1453,   3131,   5093,   7814,  13251,  13252, 
/* msg =   4393, deg = 10 */     19,    705,    735,   1186,   1659,   2020,   4195,   6734,  13252,  13253, 
/* msg =   4394, deg = 10 */    158,    450,    952,   1300,   1676,   3483,   5659,   6821,  13253,  13254, 
/* msg =   4395, deg = 10 */    118,    669,    941,   1424,   1772,   3465,   3922,   8047,  13254,  13255, 
/* msg =   4396, deg = 10 */    248,    603,   1029,   1306,   1708,   3192,   3642,   7428,  13256,  13257, 
/* msg =   4397, deg = 10 */    240,    581,    807,   1202,   1688,   2765,   4061,   7804,  13257,  13258, 
/* msg =   4398, deg = 10 */     15,    489,    945,   1213,   1665,   2949,   4810,   8487,  13258,  13259, 
/* msg =   4399, deg = 10 */    358,    584,    957,   1338,   1522,   2495,   4911,   7679,  13259,  13260, 
/* msg =   4400, deg = 10 */    342,    607,   1023,   1167,   1441,   1826,   5128,   7992,  13260,  13261, 
/* msg =   4401, deg = 10 */    126,    602,   1013,   1379,   1665,   3216,   4628,   7067,  13261,  13262, 
/* msg =   4402, deg = 10 */    192,    495,   1021,   1337,   1628,   3530,   4283,   7094,  13262,  13263, 
/* msg =   4403, deg = 10 */    125,    584,   1043,   1344,   1621,   3325,   5480,   7421,  13263,  13264, 
/* msg =   4404, deg = 10 */     47,    612,   1016,   1307,   1677,   2032,   5760,   6984,  13264,  13265, 
/* msg =   4405, deg = 10 */    202,    668,   1045,   1140,   1616,   2588,   4654,   8260,  13265,  13266, 
/* msg =   4406, deg = 10 */    238,    588,   1003,   1273,   1665,   2869,   5492,   8452,  13266,  13267, 
/* msg =   4407, deg = 10 */    334,    662,    801,   1325,   1618,   2400,   5827,   6710,  13267,  13268, 
/* msg =   4408, deg = 10 */    309,    673,    984,   1383,   1598,   1821,   4442,   8505,  13268,  13269, 
/* msg =   4409, deg = 10 */    200,    366,    806,   1141,   1652,   2383,   5175,   6260,  13269,  13270, 
/* msg =   4410, deg = 10 */    219,    594,    969,   1202,   1673,   2768,   3820,   6409,  13270,  13271, 
/* msg =   4411, deg = 10 */    117,    491,   1072,   1231,   1603,   2454,   4919,   6376,  13271,  13272, 
/* msg =   4412, deg = 10 */      7,    630,   1065,   1334,   1454,   3132,   5094,   7815,  13272,  13273, 
/* msg =   4413, deg = 10 */     20,    706,    736,   1187,   1660,   2021,   4196,   6735,  13273,  13274, 
/* msg =   4414, deg = 10 */    159,    451,    953,   1301,   1677,   3484,   5660,   6822,  13274,  13275, 
/* msg =   4415, deg = 10 */    119,    670,    942,   1425,   1773,   3466,   3923,   8048,  13275,  13276, 
/* msg =   4416, deg = 10 */    249,    604,   1030,   1307,   1709,   3193,   3643,   7429,  13277,  13278, 
/* msg =   4417, deg = 10 */    241,    582,    808,   1203,   1689,   2766,   4062,   7805,  13278,  13279, 
/* msg =   4418, deg = 10 */     16,    490,    946,   1214,   1666,   2950,   4811,   8488,  13279,  13280, 
/* msg =   4419, deg = 10 */    359,    585,    958,   1339,   1523,   2496,   4912,   7680,  13280,  13281, 
/* msg =   4420, deg = 10 */    343,    608,   1024,   1168,   1442,   1827,   5129,   7993,  13281,  13282, 
/* msg =   4421, deg = 10 */    127,    603,   1014,   1380,   1666,   3217,   4629,   7068,  13282,  13283, 
/* msg =   4422, deg = 10 */    193,    496,   1022,   1338,   1629,   3531,   4284,   7095,  13283,  13284, 
/* msg =   4423, deg = 10 */    126,    585,   1044,   1345,   1622,   3326,   5481,   7422,  13284,  13285, 
/* msg =   4424, deg = 10 */     48,    613,   1017,   1308,   1678,   2033,   5761,   6985,  13285,  13286, 
/* msg =   4425, deg = 10 */    203,    669,   1046,   1141,   1617,   2589,   4655,   8261,  13286,  13287, 
/* msg =   4426, deg = 10 */    239,    589,   1004,   1274,   1666,   2870,   5493,   8453,  13287,  13288, 
/* msg =   4427, deg = 10 */    335,    663,    802,   1326,   1619,   2401,   5828,   6711,  13288,  13289, 
/* msg =   4428, deg = 10 */    310,    674,    985,   1384,   1599,   1822,   4443,   8506,  13289,  13290, 
/* msg =   4429, deg = 10 */    201,    367,    807,   1142,   1653,   2384,   5176,   6261,  13290,  13291, 
/* msg =   4430, deg = 10 */    220,    595,    970,   1203,   1674,   2769,   3821,   6410,  13291,  13292, 
/* msg =   4431, deg = 10 */    118,    492,   1073,   1232,   1604,   2455,   4920,   6377,  13292,  13293, 
/* msg =   4432, deg = 10 */      8,    631,   1066,   1335,   1455,   3133,   5095,   7816,  13293,  13294, 
/* msg =   4433, deg = 10 */     21,    707,    737,   1188,   1661,   2022,   4197,   6736,  13294,  13295, 
/* msg =   4434, deg = 10 */    160,    452,    954,   1302,   1678,   3485,   5661,   6823,  13295,  13296, 
/* msg =   4435, deg = 10 */    120,    671,    943,   1426,   1774,   3467,   3924,   8049,  13296,  13297, 
/* msg =   4436, deg = 10 */    250,    605,   1031,   1308,   1710,   3194,   3644,   7430,  13298,  13299, 
/* msg =   4437, deg = 10 */    242,    583,    809,   1204,   1690,   2767,   4063,   7806,  13299,  13300, 
/* msg =   4438, deg = 10 */     17,    491,    947,   1215,   1667,   2951,   4812,   8489,  13300,  13301, 
/* msg =   4439, deg = 10 */      0,    586,    959,   1340,   1524,   2497,   4913,   7681,  13301,  13302, 
/* msg =   4440, deg = 10 */    344,    609,   1025,   1169,   1443,   1828,   5130,   7994,  13302,  13303, 
/* msg =   4441, deg = 10 */    128,    604,   1015,   1381,   1667,   3218,   4630,   7069,  13303,  13304, 
/* msg =   4442, deg = 10 */    194,    497,   1023,   1339,   1630,   3532,   4285,   7096,  13304,  13305, 
/* msg =   4443, deg = 10 */    127,    586,   1045,   1346,   1623,   3327,   5482,   7423,  13305,  13306, 
/* msg =   4444, deg = 10 */     49,    614,   1018,   1309,   1679,   2034,   5762,   6986,  13306,  13307, 
/* msg =   4445, deg = 10 */    204,    670,   1047,   1142,   1618,   2590,   4656,   8262,  13307,  13308, 
/* msg =   4446, deg = 10 */    240,    590,   1005,   1275,   1667,   2871,   5494,   8454,  13308,  13309, 
/* msg =   4447, deg = 10 */    336,    664,    803,   1327,   1620,   2402,   5829,   6712,  13309,  13310, 
/* msg =   4448, deg = 10 */    311,    675,    986,   1385,   1600,   1823,   4444,   8507,  13310,  13311, 
/* msg =   4449, deg = 10 */    202,    368,    808,   1143,   1654,   2385,   5177,   6262,  13311,  13312, 
/* msg =   4450, deg = 10 */    221,    596,    971,   1204,   1675,   2770,   3822,   6411,  13312,  13313, 
/* msg =   4451, deg = 10 */    119,    493,   1074,   1233,   1605,   2456,   4921,   6378,  13313,  13314, 
/* msg =   4452, deg = 10 */      9,    632,   1067,   1336,   1456,   3134,   5096,   7817,  13314,  13315, 
/* msg =   4453, deg = 10 */     22,    708,    738,   1189,   1662,   2023,   4198,   6737,  13315,  13316, 
/* msg =   4454, deg = 10 */    161,    453,    955,   1303,   1679,   3486,   5662,   6824,  13316,  13317, 
/* msg =   4455, deg = 10 */    121,    672,    944,   1427,   1775,   3468,   3925,   8050,  13317,  13318, 
/* msg =   4456, deg = 10 */    251,    606,   1032,   1309,   1711,   3195,   3645,   7431,  13319,  13320, 
/* msg =   4457, deg = 10 */    243,    584,    810,   1205,   1691,   2768,   4064,   7807,  13320,  13321, 
/* msg =   4458, deg = 10 */     18,    492,    948,   1216,   1668,   2952,   4813,   8490,  13321,  13322, 
/* msg =   4459, deg = 10 */      1,    587,    960,   1341,   1525,   2498,   4914,   7682,  13322,  13323, 
/* msg =   4460, deg = 10 */    345,    610,   1026,   1170,   1444,   1829,   5131,   7995,  13323,  13324, 
/* msg =   4461, deg = 10 */    129,    605,   1016,   1382,   1668,   3219,   4631,   7070,  13324,  13325, 
/* msg =   4462, deg = 10 */    195,    498,   1024,   1340,   1631,   3533,   4286,   7097,  13325,  13326, 
/* msg =   4463, deg = 10 */    128,    587,   1046,   1347,   1624,   3328,   5483,   7424,  13326,  13327, 
/* msg =   4464, deg = 10 */     50,    615,   1019,   1310,   1680,   2035,   5763,   6987,  13327,  13328, 
/* msg =   4465, deg = 10 */    205,    671,   1048,   1143,   1619,   2591,   4657,   8263,  13328,  13329, 
/* msg =   4466, deg = 10 */    241,    591,   1006,   1276,   1668,   2872,   5495,   8455,  13329,  13330, 
/* msg =   4467, deg = 10 */    337,    665,    804,   1328,   1621,   2403,   5830,   6713,  13330,  13331, 
/* msg =   4468, deg = 10 */    312,    676,    987,   1386,   1601,   1824,   4445,   8508,  13331,  13332, 
/* msg =   4469, deg = 10 */    203,    369,    809,   1144,   1655,   2386,   5178,   6263,  13332,  13333, 
/* msg =   4470, deg = 10 */    222,    597,    972,   1205,   1676,   2771,   3823,   6412,  13333,  13334, 
/* msg =   4471, deg = 10 */    120,    494,   1075,   1234,   1606,   2457,   4922,   6379,  13334,  13335, 
/* msg =   4472, deg = 10 */     10,    633,   1068,   1337,   1457,   3135,   5097,   7818,  13335,  13336, 
/* msg =   4473, deg = 10 */     23,    709,    739,   1190,   1663,   2024,   4199,   6738,  13336,  13337, 
/* msg =   4474, deg = 10 */    162,    454,    956,   1304,   1680,   3487,   5663,   6825,  13337,  13338, 
/* msg =   4475, deg = 10 */    122,    673,    945,   1428,   1776,   3469,   3926,   8051,  13338,  13339, 
/* msg =   4476, deg = 10 */    252,    607,   1033,   1310,   1712,   3196,   3646,   7432,  13340,  13341, 
/* msg =   4477, deg = 10 */    244,    585,    811,   1206,   1692,   2769,   4065,   7808,  13341,  13342, 
/* msg =   4478, deg = 10 */     19,    493,    949,   1217,   1669,   2953,   4814,   8491,  13342,  13343, 
/* msg =   4479, deg = 10 */      2,    588,    961,   1342,   1526,   2499,   4915,   7683,  13343,  13344, 
/* msg =   4480, deg = 10 */    346,    611,   1027,   1171,   1445,   1830,   5132,   7996,  13344,  13345, 
/* msg =   4481, deg = 10 */    130,    606,   1017,   1383,   1669,   3220,   4632,   7071,  13345,  13346, 
/* msg =   4482, deg = 10 */    196,    499,   1025,   1341,   1632,   3534,   4287,   7098,  13346,  13347, 
/* msg =   4483, deg = 10 */    129,    588,   1047,   1348,   1625,   3329,   5484,   7425,  13347,  13348, 
/* msg =   4484, deg = 10 */     51,    616,   1020,   1311,   1681,   2036,   5764,   6988,  13348,  13349, 
/* msg =   4485, deg = 10 */    206,    672,   1049,   1144,   1620,   2592,   4658,   8264,  13349,  13350, 
/* msg =   4486, deg = 10 */    242,    592,   1007,   1277,   1669,   2873,   5496,   8456,  13350,  13351, 
/* msg =   4487, deg = 10 */    338,    666,    805,   1329,   1622,   2404,   5831,   6714,  13351,  13352, 
/* msg =   4488, deg = 10 */    313,    677,    988,   1387,   1602,   1825,   4446,   8509,  13352,  13353, 
/* msg =   4489, deg = 10 */    204,    370,    810,   1145,   1656,   2387,   5179,   6264,  13353,  13354, 
/* msg =   4490, deg = 10 */    223,    598,    973,   1206,   1677,   2772,   3824,   6413,  13354,  13355, 
/* msg =   4491, deg = 10 */    121,    495,   1076,   1235,   1607,   2458,   4923,   6380,  13355,  13356, 
/* msg =   4492, deg = 10 */     11,    634,   1069,   1338,   1458,   3136,   5098,   7819,  13356,  13357, 
/* msg =   4493, deg = 10 */     24,    710,    740,   1191,   1664,   2025,   4200,   6739,  13357,  13358, 
/* msg =   4494, deg = 10 */    163,    455,    957,   1305,   1681,   3488,   5664,   6826,  13358,  13359, 
/* msg =   4495, deg = 10 */    123,    674,    946,   1429,   1777,   3470,   3927,   8052,  13359,  13360, 
/* msg =   4496, deg = 10 */    253,    608,   1034,   1311,   1713,   3197,   3647,   7433,  13361,  13362, 
/* msg =   4497, deg = 10 */    245,    586,    812,   1207,   1693,   2770,   4066,   7809,  13362,  13363, 
/* msg =   4498, deg = 10 */     20,    494,    950,   1218,   1670,   2954,   4815,   8492,  13363,  13364, 
/* msg =   4499, deg = 10 */      3,    589,    962,   1343,   1527,   2500,   4916,   7684,  13364,  13365, 
/* msg =   4500, deg = 10 */    347,    612,   1028,   1172,   1446,   1831,   5133,   7997,  13365,  13366, 
/* msg =   4501, deg = 10 */    131,    607,   1018,   1384,   1670,   3221,   4633,   7072,  13366,  13367, 
/* msg =   4502, deg = 10 */    197,    500,   1026,   1342,   1633,   3535,   4288,   7099,  13367,  13368, 
/* msg =   4503, deg = 10 */    130,    589,   1048,   1349,   1626,   3330,   5485,   7426,  13368,  13369, 
/* msg =   4504, deg = 10 */     52,    617,   1021,   1312,   1682,   2037,   5765,   6989,  13369,  13370, 
/* msg =   4505, deg = 10 */    207,    673,   1050,   1145,   1621,   2593,   4659,   8265,  13370,  13371, 
/* msg =   4506, deg = 10 */    243,    593,   1008,   1278,   1670,   2874,   5497,   8457,  13371,  13372, 
/* msg =   4507, deg = 10 */    339,    667,    806,   1330,   1623,   2405,   5832,   6715,  13372,  13373, 
/* msg =   4508, deg = 10 */    314,    678,    989,   1388,   1603,   1826,   4447,   8510,  13373,  13374, 
/* msg =   4509, deg = 10 */    205,    371,    811,   1146,   1657,   2388,   5180,   6265,  13374,  13375, 
/* msg =   4510, deg = 10 */    224,    599,    974,   1207,   1678,   2773,   3825,   6414,  13375,  13376, 
/* msg =   4511, deg = 10 */    122,    496,   1077,   1236,   1608,   2459,   4924,   6381,  13376,  13377, 
/* msg =   4512, deg = 10 */     12,    635,   1070,   1339,   1459,   3137,   5099,   7820,  13377,  13378, 
/* msg =   4513, deg = 10 */     25,    711,    741,   1192,   1665,   2026,   4201,   6740,  13378,  13379, 
/* msg =   4514, deg = 10 */    164,    456,    958,   1306,   1682,   3489,   5665,   6827,  13379,  13380, 
/* msg =   4515, deg = 10 */    124,    675,    947,   1430,   1778,   3471,   3928,   8053,  13380,  13381, 
/* msg =   4516, deg = 10 */    254,    609,   1035,   1312,   1714,   3198,   3648,   7434,  13382,  13383, 
/* msg =   4517, deg = 10 */    246,    587,    813,   1208,   1694,   2771,   4067,   7810,  13383,  13384, 
/* msg =   4518, deg = 10 */     21,    495,    951,   1219,   1671,   2955,   4816,   8493,  13384,  13385, 
/* msg =   4519, deg = 10 */      4,    590,    963,   1344,   1528,   2501,   4917,   7685,  13385,  13386, 
/* msg =   4520, deg = 10 */    348,    613,   1029,   1173,   1447,   1832,   5134,   7998,  13386,  13387, 
/* msg =   4521, deg = 10 */    132,    608,   1019,   1385,   1671,   3222,   4634,   7073,  13387,  13388, 
/* msg =   4522, deg = 10 */    198,    501,   1027,   1343,   1634,   3536,   4289,   7100,  13388,  13389, 
/* msg =   4523, deg = 10 */    131,    590,   1049,   1350,   1627,   3331,   5486,   7427,  13389,  13390, 
/* msg =   4524, deg = 10 */     53,    618,   1022,   1313,   1683,   2038,   5766,   6990,  13390,  13391, 
/* msg =   4525, deg = 10 */    208,    674,   1051,   1146,   1622,   2594,   4660,   8266,  13391,  13392, 
/* msg =   4526, deg = 10 */    244,    594,   1009,   1279,   1671,   2875,   5498,   8458,  13392,  13393, 
/* msg =   4527, deg = 10 */    340,    668,    807,   1331,   1624,   2406,   5833,   6716,  13393,  13394, 
/* msg =   4528, deg = 10 */    315,    679,    990,   1389,   1604,   1827,   4448,   8511,  13394,  13395, 
/* msg =   4529, deg = 10 */    206,    372,    812,   1147,   1658,   2389,   5181,   6266,  13395,  13396, 
/* msg =   4530, deg = 10 */    225,    600,    975,   1208,   1679,   2774,   3826,   6415,  13396,  13397, 
/* msg =   4531, deg = 10 */    123,    497,   1078,   1237,   1609,   2460,   4925,   6382,  13397,  13398, 
/* msg =   4532, deg = 10 */     13,    636,   1071,   1340,   1460,   3138,   5100,   7821,  13398,  13399, 
/* msg =   4533, deg = 10 */     26,    712,    742,   1193,   1666,   2027,   4202,   6741,  13399,  13400, 
/* msg =   4534, deg = 10 */    165,    457,    959,   1307,   1683,   3490,   5666,   6828,  13400,  13401, 
/* msg =   4535, deg = 10 */    125,    676,    948,   1431,   1779,   3472,   3929,   8054,  13401,  13402, 
/* msg =   4536, deg = 10 */    255,    610,   1036,   1313,   1715,   3199,   3649,   7435,  13403,  13404, 
/* msg =   4537, deg = 10 */    247,    588,    814,   1209,   1695,   2772,   4068,   7811,  13404,  13405, 
/* msg =   4538, deg = 10 */     22,    496,    952,   1220,   1672,   2956,   4817,   8494,  13405,  13406, 
/* msg =   4539, deg = 10 */      5,    591,    964,   1345,   1529,   2502,   4918,   7686,  13406,  13407, 
/* msg =   4540, deg = 10 */    349,    614,   1030,   1174,   1448,   1833,   5135,   7999,  13407,  13408, 
/* msg =   4541, deg = 10 */    133,    609,   1020,   1386,   1672,   3223,   4635,   7074,  13408,  13409, 
/* msg =   4542, deg = 10 */    199,    502,   1028,   1344,   1635,   3537,   4290,   7101,  13409,  13410, 
/* msg =   4543, deg = 10 */    132,    591,   1050,   1351,   1628,   3332,   5487,   7428,  13410,  13411, 
/* msg =   4544, deg = 10 */     54,    619,   1023,   1314,   1684,   2039,   5767,   6991,  13411,  13412, 
/* msg =   4545, deg = 10 */    209,    675,   1052,   1147,   1623,   2595,   4661,   8267,  13412,  13413, 
/* msg =   4546, deg = 10 */    245,    595,   1010,   1280,   1672,   2876,   5499,   8459,  13413,  13414, 
/* msg =   4547, deg = 10 */    341,    669,    808,   1332,   1625,   2407,   5834,   6717,  13414,  13415, 
/* msg =   4548, deg = 10 */    316,    680,    991,   1390,   1605,   1828,   4449,   8512,  13415,  13416, 
/* msg =   4549, deg = 10 */    207,    373,    813,   1148,   1659,   2390,   5182,   6267,  13416,  13417, 
/* msg =   4550, deg = 10 */    226,    601,    976,   1209,   1680,   2775,   3827,   6416,  13417,  13418, 
/* msg =   4551, deg = 10 */    124,    498,   1079,   1238,   1610,   2461,   4926,   6383,  13418,  13419, 
/* msg =   4552, deg = 10 */     14,    637,   1072,   1341,   1461,   3139,   5101,   7822,  13419,  13420, 
/* msg =   4553, deg = 10 */     27,    713,    743,   1194,   1667,   2028,   4203,   6742,  13420,  13421, 
/* msg =   4554, deg = 10 */    166,    458,    960,   1308,   1684,   3491,   5667,   6829,  13421,  13422, 
/* msg =   4555, deg = 10 */    126,    677,    949,   1432,   1780,   3473,   3930,   8055,  13422,  13423, 
/* msg =   4556, deg = 10 */    256,    611,   1037,   1314,   1716,   3200,   3650,   7436,  13424,  13425, 
/* msg =   4557, deg = 10 */    248,    589,    815,   1210,   1696,   2773,   4069,   7812,  13425,  13426, 
/* msg =   4558, deg = 10 */     23,    497,    953,   1221,   1673,   2957,   4818,   8495,  13426,  13427, 
/* msg =   4559, deg = 10 */      6,    592,    965,   1346,   1530,   2503,   4919,   7687,  13427,  13428, 
/* msg =   4560, deg = 10 */    350,    615,   1031,   1175,   1449,   1834,   5136,   8000,  13428,  13429, 
/* msg =   4561, deg = 10 */    134,    610,   1021,   1387,   1673,   3224,   4636,   7075,  13429,  13430, 
/* msg =   4562, deg = 10 */    200,    503,   1029,   1345,   1636,   3538,   4291,   7102,  13430,  13431, 
/* msg =   4563, deg = 10 */    133,    592,   1051,   1352,   1629,   3333,   5488,   7429,  13431,  13432, 
/* msg =   4564, deg = 10 */     55,    620,   1024,   1315,   1685,   2040,   5768,   6992,  13432,  13433, 
/* msg =   4565, deg = 10 */    210,    676,   1053,   1148,   1624,   2596,   4662,   8268,  13433,  13434, 
/* msg =   4566, deg = 10 */    246,    596,   1011,   1281,   1673,   2877,   5500,   8460,  13434,  13435, 
/* msg =   4567, deg = 10 */    342,    670,    809,   1333,   1626,   2408,   5835,   6718,  13435,  13436, 
/* msg =   4568, deg = 10 */    317,    681,    992,   1391,   1606,   1829,   4450,   8513,  13436,  13437, 
/* msg =   4569, deg = 10 */    208,    374,    814,   1149,   1660,   2391,   5183,   6268,  13437,  13438, 
/* msg =   4570, deg = 10 */    227,    602,    977,   1210,   1681,   2776,   3828,   6417,  13438,  13439, 
/* msg =   4571, deg = 10 */    125,    499,    720,   1239,   1611,   2462,   4927,   6384,  13439,  13440, 
/* msg =   4572, deg = 10 */     15,    638,   1073,   1342,   1462,   3140,   5102,   7823,  13440,  13441, 
/* msg =   4573, deg = 10 */     28,    714,    744,   1195,   1668,   2029,   4204,   6743,  13441,  13442, 
/* msg =   4574, deg = 10 */    167,    459,    961,   1309,   1685,   3492,   5668,   6830,  13442,  13443, 
/* msg =   4575, deg = 10 */    127,    678,    950,   1433,   1781,   3474,   3931,   8056,  13443,  13444, 
/* msg =   4576, deg = 10 */    257,    612,   1038,   1315,   1717,   3201,   3651,   7437,  13445,  13446, 
/* msg =   4577, deg = 10 */    249,    590,    816,   1211,   1697,   2774,   4070,   7813,  13446,  13447, 
/* msg =   4578, deg = 10 */     24,    498,    954,   1222,   1674,   2958,   4819,   8496,  13447,  13448, 
/* msg =   4579, deg = 10 */      7,    593,    966,   1347,   1531,   2504,   4920,   7688,  13448,  13449, 
/* msg =   4580, deg = 10 */    351,    616,   1032,   1176,   1450,   1835,   5137,   8001,  13449,  13450, 
/* msg =   4581, deg = 10 */    135,    611,   1022,   1388,   1674,   3225,   4637,   7076,  13450,  13451, 
/* msg =   4582, deg = 10 */    201,    504,   1030,   1346,   1637,   3539,   4292,   7103,  13451,  13452, 
/* msg =   4583, deg = 10 */    134,    593,   1052,   1353,   1630,   3334,   5489,   7430,  13452,  13453, 
/* msg =   4584, deg = 10 */     56,    621,   1025,   1316,   1686,   2041,   5769,   6993,  13453,  13454, 
/* msg =   4585, deg = 10 */    211,    677,   1054,   1149,   1625,   2597,   4663,   8269,  13454,  13455, 
/* msg =   4586, deg = 10 */    247,    597,   1012,   1282,   1674,   2878,   5501,   8461,  13455,  13456, 
/* msg =   4587, deg = 10 */    343,    671,    810,   1334,   1627,   2409,   5836,   6719,  13456,  13457, 
/* msg =   4588, deg = 10 */    318,    682,    993,   1392,   1607,   1830,   4451,   8514,  13457,  13458, 
/* msg =   4589, deg = 10 */    209,    375,    815,   1150,   1661,   2392,   5184,   6269,  13458,  13459, 
/* msg =   4590, deg = 10 */    228,    603,    978,   1211,   1682,   2777,   3829,   6418,  13459,  13460, 
/* msg =   4591, deg = 10 */    126,    500,    721,   1240,   1612,   2463,   4928,   6385,  13460,  13461, 
/* msg =   4592, deg = 10 */     16,    639,   1074,   1343,   1463,   3141,   5103,   7824,  13461,  13462, 
/* msg =   4593, deg = 10 */     29,    715,    745,   1196,   1669,   2030,   4205,   6744,  13462,  13463, 
/* msg =   4594, deg = 10 */    168,    460,    962,   1310,   1686,   3493,   5669,   6831,  13463,  13464, 
/* msg =   4595, deg = 10 */    128,    679,    951,   1434,   1782,   3475,   3932,   8057,  13464,  13465, 
/* msg =   4596, deg = 10 */    258,    613,   1039,   1316,   1718,   3202,   3652,   7438,  13466,  13467, 
/* msg =   4597, deg = 10 */    250,    591,    817,   1212,   1698,   2775,   4071,   7814,  13467,  13468, 
/* msg =   4598, deg = 10 */     25,    499,    955,   1223,   1675,   2959,   4820,   8497,  13468,  13469, 
/* msg =   4599, deg = 10 */      8,    594,    967,   1348,   1532,   2505,   4921,   7689,  13469,  13470, 
/* msg =   4600, deg = 10 */    352,    617,   1033,   1177,   1451,   1836,   5138,   8002,  13470,  13471, 
/* msg =   4601, deg = 10 */    136,    612,   1023,   1389,   1675,   3226,   4638,   7077,  13471,  13472, 
/* msg =   4602, deg = 10 */    202,    505,   1031,   1347,   1638,   3540,   4293,   7104,  13472,  13473, 
/* msg =   4603, deg = 10 */    135,    594,   1053,   1354,   1631,   3335,   5490,   7431,  13473,  13474, 
/* msg =   4604, deg = 10 */     57,    622,   1026,   1317,   1687,   2042,   5770,   6994,  13474,  13475, 
/* msg =   4605, deg = 10 */    212,    678,   1055,   1150,   1626,   2598,   4664,   8270,  13475,  13476, 
/* msg =   4606, deg = 10 */    248,    598,   1013,   1283,   1675,   2879,   5502,   8462,  13476,  13477, 
/* msg =   4607, deg = 10 */    344,    672,    811,   1335,   1628,   2410,   5837,   6720,  13477,  13478, 
/* msg =   4608, deg = 10 */    319,    683,    994,   1393,   1608,   1831,   4452,   8515,  13478,  13479, 
/* msg =   4609, deg = 10 */    210,    376,    816,   1151,   1662,   2393,   5185,   6270,  13479,  13480, 
/* msg =   4610, deg = 10 */    229,    604,    979,   1212,   1683,   2778,   3830,   6419,  13480,  13481, 
/* msg =   4611, deg = 10 */    127,    501,    722,   1241,   1613,   2464,   4929,   6386,  13481,  13482, 
/* msg =   4612, deg = 10 */     17,    640,   1075,   1344,   1464,   3142,   5104,   7825,  13482,  13483, 
/* msg =   4613, deg = 10 */     30,    716,    746,   1197,   1670,   2031,   4206,   6745,  13483,  13484, 
/* msg =   4614, deg = 10 */    169,    461,    963,   1311,   1687,   3494,   5670,   6832,  13484,  13485, 
/* msg =   4615, deg = 10 */    129,    680,    952,   1435,   1783,   3476,   3933,   8058,  13485,  13486, 
/* msg =   4616, deg = 10 */    259,    614,   1040,   1317,   1719,   3203,   3653,   7439,  13487,  13488, 
/* msg =   4617, deg = 10 */    251,    592,    818,   1213,   1699,   2776,   4072,   7815,  13488,  13489, 
/* msg =   4618, deg = 10 */     26,    500,    956,   1224,   1676,   2960,   4821,   8498,  13489,  13490, 
/* msg =   4619, deg = 10 */      9,    595,    968,   1349,   1533,   2506,   4922,   7690,  13490,  13491, 
/* msg =   4620, deg = 10 */    353,    618,   1034,   1178,   1452,   1837,   5139,   8003,  13491,  13492, 
/* msg =   4621, deg = 10 */    137,    613,   1024,   1390,   1676,   3227,   4639,   7078,  13492,  13493, 
/* msg =   4622, deg = 10 */    203,    506,   1032,   1348,   1639,   3541,   4294,   7105,  13493,  13494, 
/* msg =   4623, deg = 10 */    136,    595,   1054,   1355,   1632,   3336,   5491,   7432,  13494,  13495, 
/* msg =   4624, deg = 10 */     58,    623,   1027,   1318,   1688,   2043,   5771,   6995,  13495,  13496, 
/* msg =   4625, deg = 10 */    213,    679,   1056,   1151,   1627,   2599,   4665,   8271,  13496,  13497, 
/* msg =   4626, deg = 10 */    249,    599,   1014,   1284,   1676,   2520,   5503,   8463,  13497,  13498, 
/* msg =   4627, deg = 10 */    345,    673,    812,   1336,   1629,   2411,   5838,   6721,  13498,  13499, 
/* msg =   4628, deg = 10 */    320,    684,    995,   1394,   1609,   1832,   4453,   8516,  13499,  13500, 
/* msg =   4629, deg = 10 */    211,    377,    817,   1152,   1663,   2394,   5186,   6271,  13500,  13501, 
/* msg =   4630, deg = 10 */    230,    605,    980,   1213,   1684,   2779,   3831,   6420,  13501,  13502, 
/* msg =   4631, deg = 10 */    128,    502,    723,   1242,   1614,   2465,   4930,   6387,  13502,  13503, 
/* msg =   4632, deg = 10 */     18,    641,   1076,   1345,   1465,   3143,   5105,   7826,  13503,  13504, 
/* msg =   4633, deg = 10 */     31,    717,    747,   1198,   1671,   2032,   4207,   6746,  13504,  13505, 
/* msg =   4634, deg = 10 */    170,    462,    964,   1312,   1688,   3495,   5671,   6833,  13505,  13506, 
/* msg =   4635, deg = 10 */    130,    681,    953,   1436,   1784,   3477,   3934,   8059,  13506,  13507, 
/* msg =   4636, deg = 10 */    260,    615,   1041,   1318,   1720,   3204,   3654,   7440,  13508,  13509, 
/* msg =   4637, deg = 10 */    252,    593,    819,   1214,   1700,   2777,   4073,   7816,  13509,  13510, 
/* msg =   4638, deg = 10 */     27,    501,    957,   1225,   1677,   2961,   4822,   8499,  13510,  13511, 
/* msg =   4639, deg = 10 */     10,    596,    969,   1350,   1534,   2507,   4923,   7691,  13511,  13512, 
/* msg =   4640, deg = 10 */    354,    619,   1035,   1179,   1453,   1838,   5140,   8004,  13512,  13513, 
/* msg =   4641, deg = 10 */    138,    614,   1025,   1391,   1677,   3228,   4640,   7079,  13513,  13514, 
/* msg =   4642, deg = 10 */    204,    507,   1033,   1349,   1640,   3542,   4295,   7106,  13514,  13515, 
/* msg =   4643, deg = 10 */    137,    596,   1055,   1356,   1633,   3337,   5492,   7433,  13515,  13516, 
/* msg =   4644, deg = 10 */     59,    624,   1028,   1319,   1689,   2044,   5772,   6996,  13516,  13517, 
/* msg =   4645, deg = 10 */    214,    680,   1057,   1152,   1628,   2600,   4666,   8272,  13517,  13518, 
/* msg =   4646, deg = 10 */    250,    600,   1015,   1285,   1677,   2521,   5504,   8464,  13518,  13519, 
/* msg =   4647, deg = 10 */    346,    674,    813,   1337,   1630,   2412,   5839,   6722,  13519,  13520, 
/* msg =   4648, deg = 10 */    321,    685,    996,   1395,   1610,   1833,   4454,   8517,  13520,  13521, 
/* msg =   4649, deg = 10 */    212,    378,    818,   1153,   1664,   2395,   5187,   6272,  13521,  13522, 
/* msg =   4650, deg = 10 */    231,    606,    981,   1214,   1685,   2780,   3832,   6421,  13522,  13523, 
/* msg =   4651, deg = 10 */    129,    503,    724,   1243,   1615,   2466,   4931,   6388,  13523,  13524, 
/* msg =   4652, deg = 10 */     19,    642,   1077,   1346,   1466,   3144,   5106,   7827,  13524,  13525, 
/* msg =   4653, deg = 10 */     32,    718,    748,   1199,   1672,   2033,   4208,   6747,  13525,  13526, 
/* msg =   4654, deg = 10 */    171,    463,    965,   1313,   1689,   3496,   5672,   6834,  13526,  13527, 
/* msg =   4655, deg = 10 */    131,    682,    954,   1437,   1785,   3478,   3935,   8060,  13527,  13528, 
/* msg =   4656, deg = 10 */    261,    616,   1042,   1319,   1721,   3205,   3655,   7441,  13529,  13530, 
/* msg =   4657, deg = 10 */    253,    594,    820,   1215,   1701,   2778,   4074,   7817,  13530,  13531, 
/* msg =   4658, deg = 10 */     28,    502,    958,   1226,   1678,   2962,   4823,   8500,  13531,  13532, 
/* msg =   4659, deg = 10 */     11,    597,    970,   1351,   1535,   2508,   4924,   7692,  13532,  13533, 
/* msg =   4660, deg = 10 */    355,    620,   1036,   1180,   1454,   1839,   5141,   8005,  13533,  13534, 
/* msg =   4661, deg = 10 */    139,    615,   1026,   1392,   1678,   3229,   4641,   7080,  13534,  13535, 
/* msg =   4662, deg = 10 */    205,    508,   1034,   1350,   1641,   3543,   4296,   7107,  13535,  13536, 
/* msg =   4663, deg = 10 */    138,    597,   1056,   1357,   1634,   3338,   5493,   7434,  13536,  13537, 
/* msg =   4664, deg = 10 */     60,    625,   1029,   1320,   1690,   2045,   5773,   6997,  13537,  13538, 
/* msg =   4665, deg = 10 */    215,    681,   1058,   1153,   1629,   2601,   4667,   8273,  13538,  13539, 
/* msg =   4666, deg = 10 */    251,    601,   1016,   1286,   1678,   2522,   5505,   8465,  13539,  13540, 
/* msg =   4667, deg = 10 */    347,    675,    814,   1338,   1631,   2413,   5840,   6723,  13540,  13541, 
/* msg =   4668, deg = 10 */    322,    686,    997,   1396,   1611,   1834,   4455,   8518,  13541,  13542, 
/* msg =   4669, deg = 10 */    213,    379,    819,   1154,   1665,   2396,   5188,   6273,  13542,  13543, 
/* msg =   4670, deg = 10 */    232,    607,    982,   1215,   1686,   2781,   3833,   6422,  13543,  13544, 
/* msg =   4671, deg = 10 */    130,    504,    725,   1244,   1616,   2467,   4932,   6389,  13544,  13545, 
/* msg =   4672, deg = 10 */     20,    643,   1078,   1347,   1467,   3145,   5107,   7828,  13545,  13546, 
/* msg =   4673, deg = 10 */     33,    719,    749,   1200,   1673,   2034,   4209,   6748,  13546,  13547, 
/* msg =   4674, deg = 10 */    172,    464,    966,   1314,   1690,   3497,   5673,   6835,  13547,  13548, 
/* msg =   4675, deg = 10 */    132,    683,    955,   1438,   1786,   3479,   3936,   8061,  13548,  13549, 
/* msg =   4676, deg = 10 */    262,    617,   1043,   1320,   1722,   3206,   3656,   7442,  13550,  13551, 
/* msg =   4677, deg = 10 */    254,    595,    821,   1216,   1702,   2779,   4075,   7818,  13551,  13552, 
/* msg =   4678, deg = 10 */     29,    503,    959,   1227,   1679,   2963,   4824,   8501,  13552,  13553, 
/* msg =   4679, deg = 10 */     12,    598,    971,   1352,   1536,   2509,   4925,   7693,  13553,  13554, 
/* msg =   4680, deg = 10 */    356,    621,   1037,   1181,   1455,   1840,   5142,   8006,  13554,  13555, 
/* msg =   4681, deg = 10 */    140,    616,   1027,   1393,   1679,   3230,   4642,   7081,  13555,  13556, 
/* msg =   4682, deg = 10 */    206,    509,   1035,   1351,   1642,   3544,   4297,   7108,  13556,  13557, 
/* msg =   4683, deg = 10 */    139,    598,   1057,   1358,   1635,   3339,   5494,   7435,  13557,  13558, 
/* msg =   4684, deg = 10 */     61,    626,   1030,   1321,   1691,   2046,   5774,   6998,  13558,  13559, 
/* msg =   4685, deg = 10 */    216,    682,   1059,   1154,   1630,   2602,   4668,   8274,  13559,  13560, 
/* msg =   4686, deg = 10 */    252,    602,   1017,   1287,   1679,   2523,   5506,   8466,  13560,  13561, 
/* msg =   4687, deg = 10 */    348,    676,    815,   1339,   1632,   2414,   5841,   6724,  13561,  13562, 
/* msg =   4688, deg = 10 */    323,    687,    998,   1397,   1612,   1835,   4456,   8519,  13562,  13563, 
/* msg =   4689, deg = 10 */    214,    380,    820,   1155,   1666,   2397,   5189,   6274,  13563,  13564, 
/* msg =   4690, deg = 10 */    233,    608,    983,   1216,   1687,   2782,   3834,   6423,  13564,  13565, 
/* msg =   4691, deg = 10 */    131,    505,    726,   1245,   1617,   2468,   4933,   6390,  13565,  13566, 
/* msg =   4692, deg = 10 */     21,    644,   1079,   1348,   1468,   3146,   5108,   7829,  13566,  13567, 
/* msg =   4693, deg = 10 */     34,    360,    750,   1201,   1674,   2035,   4210,   6749,  13567,  13568, 
/* msg =   4694, deg = 10 */    173,    465,    967,   1315,   1691,   3498,   5674,   6836,  13568,  13569, 
/* msg =   4695, deg = 10 */    133,    684,    956,   1439,   1787,   3480,   3937,   8062,  13569,  13570, 
/* msg =   4696, deg = 10 */    263,    618,   1044,   1321,   1723,   3207,   3657,   7443,  13571,  13572, 
/* msg =   4697, deg = 10 */    255,    596,    822,   1217,   1703,   2780,   4076,   7819,  13572,  13573, 
/* msg =   4698, deg = 10 */     30,    504,    960,   1228,   1680,   2964,   4825,   8502,  13573,  13574, 
/* msg =   4699, deg = 10 */     13,    599,    972,   1353,   1537,   2510,   4926,   7694,  13574,  13575, 
/* msg =   4700, deg = 10 */    357,    622,   1038,   1182,   1456,   1841,   5143,   8007,  13575,  13576, 
/* msg =   4701, deg = 10 */    141,    617,   1028,   1394,   1680,   3231,   4643,   7082,  13576,  13577, 
/* msg =   4702, deg = 10 */    207,    510,   1036,   1352,   1643,   3545,   4298,   7109,  13577,  13578, 
/* msg =   4703, deg = 10 */    140,    599,   1058,   1359,   1636,   3340,   5495,   7436,  13578,  13579, 
/* msg =   4704, deg = 10 */     62,    627,   1031,   1322,   1692,   2047,   5775,   6999,  13579,  13580, 
/* msg =   4705, deg = 10 */    217,    683,   1060,   1155,   1631,   2603,   4669,   8275,  13580,  13581, 
/* msg =   4706, deg = 10 */    253,    603,   1018,   1288,   1680,   2524,   5507,   8467,  13581,  13582, 
/* msg =   4707, deg = 10 */    349,    677,    816,   1340,   1633,   2415,   5842,   6725,  13582,  13583, 
/* msg =   4708, deg = 10 */    324,    688,    999,   1398,   1613,   1836,   4457,   8520,  13583,  13584, 
/* msg =   4709, deg = 10 */    215,    381,    821,   1156,   1667,   2398,   5190,   6275,  13584,  13585, 
/* msg =   4710, deg = 10 */    234,    609,    984,   1217,   1688,   2783,   3835,   6424,  13585,  13586, 
/* msg =   4711, deg = 10 */    132,    506,    727,   1246,   1618,   2469,   4934,   6391,  13586,  13587, 
/* msg =   4712, deg = 10 */     22,    645,    720,   1349,   1469,   3147,   5109,   7830,  13587,  13588, 
/* msg =   4713, deg = 10 */     35,    361,    751,   1202,   1675,   2036,   4211,   6750,  13588,  13589, 
/* msg =   4714, deg = 10 */    174,    466,    968,   1316,   1692,   3499,   5675,   6837,  13589,  13590, 
/* msg =   4715, deg = 10 */    134,    685,    957,   1080,   1788,   3481,   3938,   8063,  13590,  13591, 
/* msg =   4716, deg = 10 */    264,    619,   1045,   1322,   1724,   3208,   3658,   7444,  13592,  13593, 
/* msg =   4717, deg = 10 */    256,    597,    823,   1218,   1704,   2781,   4077,   7820,  13593,  13594, 
/* msg =   4718, deg = 10 */     31,    505,    961,   1229,   1681,   2965,   4826,   8503,  13594,  13595, 
/* msg =   4719, deg = 10 */     14,    600,    973,   1354,   1538,   2511,   4927,   7695,  13595,  13596, 
/* msg =   4720, deg = 10 */    358,    623,   1039,   1183,   1457,   1842,   5144,   8008,  13596,  13597, 
/* msg =   4721, deg = 10 */    142,    618,   1029,   1395,   1681,   3232,   4644,   7083,  13597,  13598, 
/* msg =   4722, deg = 10 */    208,    511,   1037,   1353,   1644,   3546,   4299,   7110,  13598,  13599, 
/* msg =   4723, deg = 10 */    141,    600,   1059,   1360,   1637,   3341,   5496,   7437,  13599,  13600, 
/* msg =   4724, deg = 10 */     63,    628,   1032,   1323,   1693,   2048,   5776,   7000,  13600,  13601, 
/* msg =   4725, deg = 10 */    218,    684,   1061,   1156,   1632,   2604,   4670,   8276,  13601,  13602, 
/* msg =   4726, deg = 10 */    254,    604,   1019,   1289,   1681,   2525,   5508,   8468,  13602,  13603, 
/* msg =   4727, deg = 10 */    350,    678,    817,   1341,   1634,   2416,   5843,   6726,  13603,  13604, 
/* msg =   4728, deg = 10 */    325,    689,   1000,   1399,   1614,   1837,   4458,   8521,  13604,  13605, 
/* msg =   4729, deg = 10 */    216,    382,    822,   1157,   1668,   2399,   5191,   6276,  13605,  13606, 
/* msg =   4730, deg = 10 */    235,    610,    985,   1218,   1689,   2784,   3836,   6425,  13606,  13607, 
/* msg =   4731, deg = 10 */    133,    507,    728,   1247,   1619,   2470,   4935,   6392,  13607,  13608, 
/* msg =   4732, deg = 10 */     23,    646,    721,   1350,   1470,   3148,   5110,   7831,  13608,  13609, 
/* msg =   4733, deg = 10 */     36,    362,    752,   1203,   1676,   2037,   4212,   6751,  13609,  13610, 
/* msg =   4734, deg = 10 */    175,    467,    969,   1317,   1693,   3500,   5676,   6838,  13610,  13611, 
/* msg =   4735, deg = 10 */    135,    686,    958,   1081,   1789,   3482,   3939,   8064,  13611,  13612, 
/* msg =   4736, deg = 10 */    265,    620,   1046,   1323,   1725,   3209,   3659,   7445,  13613,  13614, 
/* msg =   4737, deg = 10 */    257,    598,    824,   1219,   1705,   2782,   4078,   7821,  13614,  13615, 
/* msg =   4738, deg = 10 */     32,    506,    962,   1230,   1682,   2966,   4827,   8504,  13615,  13616, 
/* msg =   4739, deg = 10 */     15,    601,    974,   1355,   1539,   2512,   4928,   7696,  13616,  13617, 
/* msg =   4740, deg = 10 */    359,    624,   1040,   1184,   1458,   1843,   5145,   8009,  13617,  13618, 
/* msg =   4741, deg = 10 */    143,    619,   1030,   1396,   1682,   3233,   4645,   7084,  13618,  13619, 
/* msg =   4742, deg = 10 */    209,    512,   1038,   1354,   1645,   3547,   4300,   7111,  13619,  13620, 
/* msg =   4743, deg = 10 */    142,    601,   1060,   1361,   1638,   3342,   5497,   7438,  13620,  13621, 
/* msg =   4744, deg = 10 */     64,    629,   1033,   1324,   1694,   2049,   5777,   7001,  13621,  13622, 
/* msg =   4745, deg = 10 */    219,    685,   1062,   1157,   1633,   2605,   4671,   8277,  13622,  13623, 
/* msg =   4746, deg = 10 */    255,    605,   1020,   1290,   1682,   2526,   5509,   8469,  13623,  13624, 
/* msg =   4747, deg = 10 */    351,    679,    818,   1342,   1635,   2417,   5844,   6727,  13624,  13625, 
/* msg =   4748, deg = 10 */    326,    690,   1001,   1400,   1615,   1838,   4459,   8522,  13625,  13626, 
/* msg =   4749, deg = 10 */    217,    383,    823,   1158,   1669,   2400,   5192,   6277,  13626,  13627, 
/* msg =   4750, deg = 10 */    236,    611,    986,   1219,   1690,   2785,   3837,   6426,  13627,  13628, 
/* msg =   4751, deg = 10 */    134,    508,    729,   1248,   1620,   2471,   4936,   6393,  13628,  13629, 
/* msg =   4752, deg = 10 */     24,    647,    722,   1351,   1471,   3149,   5111,   7832,  13629,  13630, 
/* msg =   4753, deg = 10 */     37,    363,    753,   1204,   1677,   2038,   4213,   6752,  13630,  13631, 
/* msg =   4754, deg = 10 */    176,    468,    970,   1318,   1694,   3501,   5677,   6839,  13631,  13632, 
/* msg =   4755, deg = 10 */    136,    687,    959,   1082,   1790,   3483,   3940,   8065,  13632,  13633, 
/* msg =   4756, deg = 10 */    266,    621,   1047,   1324,   1726,   3210,   3660,   7446,  13634,  13635, 
/* msg =   4757, deg = 10 */    258,    599,    825,   1220,   1706,   2783,   4079,   7822,  13635,  13636, 
/* msg =   4758, deg = 10 */     33,    507,    963,   1231,   1683,   2967,   4828,   8505,  13636,  13637, 
/* msg =   4759, deg = 10 */     16,    602,    975,   1356,   1540,   2513,   4929,   7697,  13637,  13638, 
/* msg =   4760, deg = 10 */      0,    625,   1041,   1185,   1459,   1844,   5146,   8010,  13638,  13639, 
/* msg =   4761, deg = 10 */    144,    620,   1031,   1397,   1683,   3234,   4646,   7085,  13639,  13640, 
/* msg =   4762, deg = 10 */    210,    513,   1039,   1355,   1646,   3548,   4301,   7112,  13640,  13641, 
/* msg =   4763, deg = 10 */    143,    602,   1061,   1362,   1639,   3343,   5498,   7439,  13641,  13642, 
/* msg =   4764, deg = 10 */     65,    630,   1034,   1325,   1695,   2050,   5778,   7002,  13642,  13643, 
/* msg =   4765, deg = 10 */    220,    686,   1063,   1158,   1634,   2606,   4672,   8278,  13643,  13644, 
/* msg =   4766, deg = 10 */    256,    606,   1021,   1291,   1683,   2527,   5510,   8470,  13644,  13645, 
/* msg =   4767, deg = 10 */    352,    680,    819,   1343,   1636,   2418,   5845,   6728,  13645,  13646, 
/* msg =   4768, deg = 10 */    327,    691,   1002,   1401,   1616,   1839,   4460,   8523,  13646,  13647, 
/* msg =   4769, deg = 10 */    218,    384,    824,   1159,   1670,   2401,   5193,   6278,  13647,  13648, 
/* msg =   4770, deg = 10 */    237,    612,    987,   1220,   1691,   2786,   3838,   6427,  13648,  13649, 
/* msg =   4771, deg = 10 */    135,    509,    730,   1249,   1621,   2472,   4937,   6394,  13649,  13650, 
/* msg =   4772, deg = 10 */     25,    648,    723,   1352,   1472,   3150,   5112,   7833,  13650,  13651, 
/* msg =   4773, deg = 10 */     38,    364,    754,   1205,   1678,   2039,   4214,   6753,  13651,  13652, 
/* msg =   4774, deg = 10 */    177,    469,    971,   1319,   1695,   3502,   5678,   6480,  13652,  13653, 
/* msg =   4775, deg = 10 */    137,    688,    960,   1083,   1791,   3484,   3941,   8066,  13653,  13654, 
/* msg =   4776, deg = 10 */    267,    622,   1048,   1325,   1727,   3211,   3661,   7447,  13655,  13656, 
/* msg =   4777, deg = 10 */    259,    600,    826,   1221,   1707,   2784,   4080,   7823,  13656,  13657, 
/* msg =   4778, deg = 10 */     34,    508,    964,   1232,   1684,   2968,   4829,   8506,  13657,  13658, 
/* msg =   4779, deg = 10 */     17,    603,    976,   1357,   1541,   2514,   4930,   7698,  13658,  13659, 
/* msg =   4780, deg = 10 */      1,    626,   1042,   1186,   1460,   1845,   5147,   8011,  13659,  13660, 
/* msg =   4781, deg = 10 */    145,    621,   1032,   1398,   1684,   3235,   4647,   7086,  13660,  13661, 
/* msg =   4782, deg = 10 */    211,    514,   1040,   1356,   1647,   3549,   4302,   7113,  13661,  13662, 
/* msg =   4783, deg = 10 */    144,    603,   1062,   1363,   1640,   3344,   5499,   7440,  13662,  13663, 
/* msg =   4784, deg = 10 */     66,    631,   1035,   1326,   1696,   2051,   5779,   7003,  13663,  13664, 
/* msg =   4785, deg = 10 */    221,    687,   1064,   1159,   1635,   2607,   4673,   8279,  13664,  13665, 
/* msg =   4786, deg = 10 */    257,    607,   1022,   1292,   1684,   2528,   5511,   8471,  13665,  13666, 
/* msg =   4787, deg = 10 */    353,    681,    820,   1344,   1637,   2419,   5846,   6729,  13666,  13667, 
/* msg =   4788, deg = 10 */    328,    692,   1003,   1402,   1617,   1840,   4461,   8524,  13667,  13668, 
/* msg =   4789, deg = 10 */    219,    385,    825,   1160,   1671,   2402,   5194,   6279,  13668,  13669, 
/* msg =   4790, deg = 10 */    238,    613,    988,   1221,   1692,   2787,   3839,   6428,  13669,  13670, 
/* msg =   4791, deg = 10 */    136,    510,    731,   1250,   1622,   2473,   4938,   6395,  13670,  13671, 
/* msg =   4792, deg = 10 */     26,    649,    724,   1353,   1473,   3151,   5113,   7834,  13671,  13672, 
/* msg =   4793, deg = 10 */     39,    365,    755,   1206,   1679,   2040,   4215,   6754,  13672,  13673, 
/* msg =   4794, deg = 10 */    178,    470,    972,   1320,   1696,   3503,   5679,   6481,  13673,  13674, 
/* msg =   4795, deg = 10 */    138,    689,    961,   1084,   1792,   3485,   3942,   8067,  13674,  13675, 
/* msg =   4796, deg = 10 */    268,    623,   1049,   1326,   1728,   3212,   3662,   7448,  13676,  13677, 
/* msg =   4797, deg = 10 */    260,    601,    827,   1222,   1708,   2785,   4081,   7824,  13677,  13678, 
/* msg =   4798, deg = 10 */     35,    509,    965,   1233,   1685,   2969,   4830,   8507,  13678,  13679, 
/* msg =   4799, deg = 10 */     18,    604,    977,   1358,   1542,   2515,   4931,   7699,  13679,  13680, 
/* msg =   4800, deg = 10 */      2,    627,   1043,   1187,   1461,   1846,   5148,   8012,  13680,  13681, 
/* msg =   4801, deg = 10 */    146,    622,   1033,   1399,   1685,   3236,   4648,   7087,  13681,  13682, 
/* msg =   4802, deg = 10 */    212,    515,   1041,   1357,   1648,   3550,   4303,   7114,  13682,  13683, 
/* msg =   4803, deg = 10 */    145,    604,   1063,   1364,   1641,   3345,   5500,   7441,  13683,  13684, 
/* msg =   4804, deg = 10 */     67,    632,   1036,   1327,   1697,   2052,   5780,   7004,  13684,  13685, 
/* msg =   4805, deg = 10 */    222,    688,   1065,   1160,   1636,   2608,   4674,   7920,  13685,  13686, 
/* msg =   4806, deg = 10 */    258,    608,   1023,   1293,   1685,   2529,   5512,   8472,  13686,  13687, 
/* msg =   4807, deg = 10 */    354,    682,    821,   1345,   1638,   2420,   5847,   6730,  13687,  13688, 
/* msg =   4808, deg = 10 */    329,    693,   1004,   1403,   1618,   1841,   4462,   8525,  13688,  13689, 
/* msg =   4809, deg = 10 */    220,    386,    826,   1161,   1672,   2403,   5195,   6280,  13689,  13690, 
/* msg =   4810, deg = 10 */    239,    614,    989,   1222,   1693,   2788,   3840,   6429,  13690,  13691, 
/* msg =   4811, deg = 10 */    137,    511,    732,   1251,   1623,   2474,   4939,   6396,  13691,  13692, 
/* msg =   4812, deg = 10 */     27,    650,    725,   1354,   1474,   3152,   5114,   7835,  13692,  13693, 
/* msg =   4813, deg = 10 */     40,    366,    756,   1207,   1680,   2041,   4216,   6755,  13693,  13694, 
/* msg =   4814, deg = 10 */    179,    471,    973,   1321,   1697,   3504,   5680,   6482,  13694,  13695, 
/* msg =   4815, deg = 10 */    139,    690,    962,   1085,   1793,   3486,   3943,   8068,  13695,  13696, 
/* msg =   4816, deg = 10 */    269,    624,   1050,   1327,   1729,   3213,   3663,   7449,  13697,  13698, 
/* msg =   4817, deg = 10 */    261,    602,    828,   1223,   1709,   2786,   4082,   7825,  13698,  13699, 
/* msg =   4818, deg = 10 */     36,    510,    966,   1234,   1686,   2970,   4831,   8508,  13699,  13700, 
/* msg =   4819, deg = 10 */     19,    605,    978,   1359,   1543,   2516,   4932,   7700,  13700,  13701, 
/* msg =   4820, deg = 10 */      3,    628,   1044,   1188,   1462,   1847,   5149,   8013,  13701,  13702, 
/* msg =   4821, deg = 10 */    147,    623,   1034,   1400,   1686,   3237,   4649,   7088,  13702,  13703, 
/* msg =   4822, deg = 10 */    213,    516,   1042,   1358,   1649,   3551,   4304,   7115,  13703,  13704, 
/* msg =   4823, deg = 10 */    146,    605,   1064,   1365,   1642,   3346,   5501,   7442,  13704,  13705, 
/* msg =   4824, deg = 10 */     68,    633,   1037,   1328,   1698,   2053,   5781,   7005,  13705,  13706, 
/* msg =   4825, deg = 10 */    223,    689,   1066,   1161,   1637,   2609,   4675,   7921,  13706,  13707, 
/* msg =   4826, deg = 10 */    259,    609,   1024,   1294,   1686,   2530,   5513,   8473,  13707,  13708, 
/* msg =   4827, deg = 10 */    355,    683,    822,   1346,   1639,   2421,   5848,   6731,  13708,  13709, 
/* msg =   4828, deg = 10 */    330,    694,   1005,   1404,   1619,   1842,   4463,   8526,  13709,  13710, 
/* msg =   4829, deg = 10 */    221,    387,    827,   1162,   1673,   2404,   5196,   6281,  13710,  13711, 
/* msg =   4830, deg = 10 */    240,    615,    990,   1223,   1694,   2789,   3841,   6430,  13711,  13712, 
/* msg =   4831, deg = 10 */    138,    512,    733,   1252,   1624,   2475,   4940,   6397,  13712,  13713, 
/* msg =   4832, deg = 10 */     28,    651,    726,   1355,   1475,   3153,   5115,   7836,  13713,  13714, 
/* msg =   4833, deg = 10 */     41,    367,    757,   1208,   1681,   2042,   4217,   6756,  13714,  13715, 
/* msg =   4834, deg = 10 */    180,    472,    974,   1322,   1698,   3505,   5681,   6483,  13715,  13716, 
/* msg =   4835, deg = 10 */    140,    691,    963,   1086,   1794,   3487,   3944,   8069,  13716,  13717, 
/* msg =   4836, deg = 10 */    270,    625,   1051,   1328,   1730,   3214,   3664,   7450,  13718,  13719, 
/* msg =   4837, deg = 10 */    262,    603,    829,   1224,   1710,   2787,   4083,   7826,  13719,  13720, 
/* msg =   4838, deg = 10 */     37,    511,    967,   1235,   1687,   2971,   4832,   8509,  13720,  13721, 
/* msg =   4839, deg = 10 */     20,    606,    979,   1360,   1544,   2517,   4933,   7701,  13721,  13722, 
/* msg =   4840, deg = 10 */      4,    629,   1045,   1189,   1463,   1848,   5150,   8014,  13722,  13723, 
/* msg =   4841, deg = 10 */    148,    624,   1035,   1401,   1687,   3238,   4650,   7089,  13723,  13724, 
/* msg =   4842, deg = 10 */    214,    517,   1043,   1359,   1650,   3552,   4305,   7116,  13724,  13725, 
/* msg =   4843, deg = 10 */    147,    606,   1065,   1366,   1643,   3347,   5502,   7443,  13725,  13726, 
/* msg =   4844, deg = 10 */     69,    634,   1038,   1329,   1699,   2054,   5782,   7006,  13726,  13727, 
/* msg =   4845, deg = 10 */    224,    690,   1067,   1162,   1638,   2610,   4676,   7922,  13727,  13728, 
/* msg =   4846, deg = 10 */    260,    610,   1025,   1295,   1687,   2531,   5514,   8474,  13728,  13729, 
/* msg =   4847, deg = 10 */    356,    684,    823,   1347,   1640,   2422,   5849,   6732,  13729,  13730, 
/* msg =   4848, deg = 10 */    331,    695,   1006,   1405,   1620,   1843,   4464,   8527,  13730,  13731, 
/* msg =   4849, deg = 10 */    222,    388,    828,   1163,   1674,   2405,   5197,   6282,  13731,  13732, 
/* msg =   4850, deg = 10 */    241,    616,    991,   1224,   1695,   2790,   3842,   6431,  13732,  13733, 
/* msg =   4851, deg = 10 */    139,    513,    734,   1253,   1625,   2476,   4941,   6398,  13733,  13734, 
/* msg =   4852, deg = 10 */     29,    652,    727,   1356,   1476,   3154,   5116,   7837,  13734,  13735, 
/* msg =   4853, deg = 10 */     42,    368,    758,   1209,   1682,   2043,   4218,   6757,  13735,  13736, 
/* msg =   4854, deg = 10 */    181,    473,    975,   1323,   1699,   3506,   5682,   6484,  13736,  13737, 
/* msg =   4855, deg = 10 */    141,    692,    964,   1087,   1795,   3488,   3945,   8070,  13737,  13738, 
/* msg =   4856, deg = 10 */    271,    626,   1052,   1329,   1731,   3215,   3665,   7451,  13739,  13740, 
/* msg =   4857, deg = 10 */    263,    604,    830,   1225,   1711,   2788,   4084,   7827,  13740,  13741, 
/* msg =   4858, deg = 10 */     38,    512,    968,   1236,   1688,   2972,   4833,   8510,  13741,  13742, 
/* msg =   4859, deg = 10 */     21,    607,    980,   1361,   1545,   2518,   4934,   7702,  13742,  13743, 
/* msg =   4860, deg = 10 */      5,    630,   1046,   1190,   1464,   1849,   5151,   8015,  13743,  13744, 
/* msg =   4861, deg = 10 */    149,    625,   1036,   1402,   1688,   3239,   4651,   7090,  13744,  13745, 
/* msg =   4862, deg = 10 */    215,    518,   1044,   1360,   1651,   3553,   4306,   7117,  13745,  13746, 
/* msg =   4863, deg = 10 */    148,    607,   1066,   1367,   1644,   3348,   5503,   7444,  13746,  13747, 
/* msg =   4864, deg = 10 */     70,    635,   1039,   1330,   1700,   2055,   5783,   7007,  13747,  13748, 
/* msg =   4865, deg = 10 */    225,    691,   1068,   1163,   1639,   2611,   4677,   7923,  13748,  13749, 
/* msg =   4866, deg = 10 */    261,    611,   1026,   1296,   1688,   2532,   5515,   8475,  13749,  13750, 
/* msg =   4867, deg = 10 */    357,    685,    824,   1348,   1641,   2423,   5850,   6733,  13750,  13751, 
/* msg =   4868, deg = 10 */    332,    696,   1007,   1406,   1621,   1844,   4465,   8528,  13751,  13752, 
/* msg =   4869, deg = 10 */    223,    389,    829,   1164,   1675,   2406,   5198,   6283,  13752,  13753, 
/* msg =   4870, deg = 10 */    242,    617,    992,   1225,   1696,   2791,   3843,   6432,  13753,  13754, 
/* msg =   4871, deg = 10 */    140,    514,    735,   1254,   1626,   2477,   4942,   6399,  13754,  13755, 
/* msg =   4872, deg = 10 */     30,    653,    728,   1357,   1477,   3155,   5117,   7838,  13755,  13756, 
/* msg =   4873, deg = 10 */     43,    369,    759,   1210,   1683,   2044,   4219,   6758,  13756,  13757, 
/* msg =   4874, deg = 10 */    182,    474,    976,   1324,   1700,   3507,   5683,   6485,  13757,  13758, 
/* msg =   4875, deg = 10 */    142,    693,    965,   1088,   1796,   3489,   3946,   8071,  13758,  13759, 
/* msg =   4876, deg = 10 */    272,    627,   1053,   1330,   1732,   3216,   3666,   7452,  13760,  13761, 
/* msg =   4877, deg = 10 */    264,    605,    831,   1226,   1712,   2789,   4085,   7828,  13761,  13762, 
/* msg =   4878, deg = 10 */     39,    513,    969,   1237,   1689,   2973,   4834,   8511,  13762,  13763, 
/* msg =   4879, deg = 10 */     22,    608,    981,   1362,   1546,   2519,   4935,   7703,  13763,  13764, 
/* msg =   4880, deg = 10 */      6,    631,   1047,   1191,   1465,   1850,   5152,   8016,  13764,  13765, 
/* msg =   4881, deg = 10 */    150,    626,   1037,   1403,   1689,   2880,   4652,   7091,  13765,  13766, 
/* msg =   4882, deg = 10 */    216,    519,   1045,   1361,   1652,   3554,   4307,   7118,  13766,  13767, 
/* msg =   4883, deg = 10 */    149,    608,   1067,   1368,   1645,   3349,   5504,   7445,  13767,  13768, 
/* msg =   4884, deg = 10 */     71,    636,   1040,   1331,   1701,   2056,   5784,   7008,  13768,  13769, 
/* msg =   4885, deg = 10 */    226,    692,   1069,   1164,   1640,   2612,   4678,   7924,  13769,  13770, 
/* msg =   4886, deg = 10 */    262,    612,   1027,   1297,   1689,   2533,   5516,   8476,  13770,  13771, 
/* msg =   4887, deg = 10 */    358,    686,    825,   1349,   1642,   2424,   5851,   6734,  13771,  13772, 
/* msg =   4888, deg = 10 */    333,    697,   1008,   1407,   1622,   1845,   4466,   8529,  13772,  13773, 
/* msg =   4889, deg = 10 */    224,    390,    830,   1165,   1676,   2407,   5199,   6284,  13773,  13774, 
/* msg =   4890, deg = 10 */    243,    618,    993,   1226,   1697,   2792,   3844,   6433,  13774,  13775, 
/* msg =   4891, deg = 10 */    141,    515,    736,   1255,   1627,   2478,   4943,   6400,  13775,  13776, 
/* msg =   4892, deg = 10 */     31,    654,    729,   1358,   1478,   3156,   5118,   7839,  13776,  13777, 
/* msg =   4893, deg = 10 */     44,    370,    760,   1211,   1684,   2045,   4220,   6759,  13777,  13778, 
/* msg =   4894, deg = 10 */    183,    475,    977,   1325,   1701,   3508,   5684,   6486,  13778,  13779, 
/* msg =   4895, deg = 10 */    143,    694,    966,   1089,   1797,   3490,   3947,   8072,  13779,  13780, 
/* msg =   4896, deg = 10 */    273,    628,   1054,   1331,   1733,   3217,   3667,   7453,  13781,  13782, 
/* msg =   4897, deg = 10 */    265,    606,    832,   1227,   1713,   2790,   4086,   7829,  13782,  13783, 
/* msg =   4898, deg = 10 */     40,    514,    970,   1238,   1690,   2974,   4835,   8512,  13783,  13784, 
/* msg =   4899, deg = 10 */     23,    609,    982,   1363,   1547,   2160,   4936,   7704,  13784,  13785, 
/* msg =   4900, deg = 10 */      7,    632,   1048,   1192,   1466,   1851,   5153,   8017,  13785,  13786, 
/* msg =   4901, deg = 10 */    151,    627,   1038,   1404,   1690,   2881,   4653,   7092,  13786,  13787, 
/* msg =   4902, deg = 10 */    217,    520,   1046,   1362,   1653,   3555,   4308,   7119,  13787,  13788, 
/* msg =   4903, deg = 10 */    150,    609,   1068,   1369,   1646,   3350,   5505,   7446,  13788,  13789, 
/* msg =   4904, deg = 10 */     72,    637,   1041,   1332,   1702,   2057,   5785,   7009,  13789,  13790, 
/* msg =   4905, deg = 10 */    227,    693,   1070,   1165,   1641,   2613,   4679,   7925,  13790,  13791, 
/* msg =   4906, deg = 10 */    263,    613,   1028,   1298,   1690,   2534,   5517,   8477,  13791,  13792, 
/* msg =   4907, deg = 10 */    359,    687,    826,   1350,   1643,   2425,   5852,   6735,  13792,  13793, 
/* msg =   4908, deg = 10 */    334,    698,   1009,   1408,   1623,   1846,   4467,   8530,  13793,  13794, 
/* msg =   4909, deg = 10 */    225,    391,    831,   1166,   1677,   2408,   5200,   6285,  13794,  13795, 
/* msg =   4910, deg = 10 */    244,    619,    994,   1227,   1698,   2793,   3845,   6434,  13795,  13796, 
/* msg =   4911, deg = 10 */    142,    516,    737,   1256,   1628,   2479,   4944,   6401,  13796,  13797, 
/* msg =   4912, deg = 10 */     32,    655,    730,   1359,   1479,   3157,   5119,   7840,  13797,  13798, 
/* msg =   4913, deg = 10 */     45,    371,    761,   1212,   1685,   2046,   4221,   6760,  13798,  13799, 
/* msg =   4914, deg = 10 */    184,    476,    978,   1326,   1702,   3509,   5685,   6487,  13799,  13800, 
/* msg =   4915, deg = 10 */    144,    695,    967,   1090,   1798,   3491,   3948,   8073,  13800,  13801, 
/* msg =   4916, deg = 10 */    274,    629,   1055,   1332,   1734,   3218,   3668,   7454,  13802,  13803, 
/* msg =   4917, deg = 10 */    266,    607,    833,   1228,   1714,   2791,   4087,   7830,  13803,  13804, 
/* msg =   4918, deg = 10 */     41,    515,    971,   1239,   1691,   2975,   4836,   8513,  13804,  13805, 
/* msg =   4919, deg = 10 */     24,    610,    983,   1364,   1548,   2161,   4937,   7705,  13805,  13806, 
/* msg =   4920, deg = 10 */      8,    633,   1049,   1193,   1467,   1852,   5154,   8018,  13806,  13807, 
/* msg =   4921, deg = 10 */    152,    628,   1039,   1405,   1691,   2882,   4654,   7093,  13807,  13808, 
/* msg =   4922, deg = 10 */    218,    521,   1047,   1363,   1654,   3556,   4309,   7120,  13808,  13809, 
/* msg =   4923, deg = 10 */    151,    610,   1069,   1370,   1647,   3351,   5506,   7447,  13809,  13810, 
/* msg =   4924, deg = 10 */     73,    638,   1042,   1333,   1703,   2058,   5786,   7010,  13810,  13811, 
/* msg =   4925, deg = 10 */    228,    694,   1071,   1166,   1642,   2614,   4320,   7926,  13811,  13812, 
/* msg =   4926, deg = 10 */    264,    614,   1029,   1299,   1691,   2535,   5518,   8478,  13812,  13813, 
/* msg =   4927, deg = 10 */      0,    688,    827,   1351,   1644,   2426,   5853,   6736,  13813,  13814, 
/* msg =   4928, deg = 10 */    335,    699,   1010,   1409,   1624,   1847,   4468,   8531,  13814,  13815, 
/* msg =   4929, deg = 10 */    226,    392,    832,   1167,   1678,   2409,   5201,   6286,  13815,  13816, 
/* msg =   4930, deg = 10 */    245,    620,    995,   1228,   1699,   2794,   3846,   6435,  13816,  13817, 
/* msg =   4931, deg = 10 */    143,    517,    738,   1257,   1629,   2480,   4945,   6402,  13817,  13818, 
/* msg =   4932, deg = 10 */     33,    656,    731,   1360,   1480,   3158,   5120,   7841,  13818,  13819, 
/* msg =   4933, deg = 10 */     46,    372,    762,   1213,   1686,   2047,   4222,   6761,  13819,  13820, 
/* msg =   4934, deg = 10 */    185,    477,    979,   1327,   1703,   3510,   5686,   6488,  13820,  13821, 
/* msg =   4935, deg = 10 */    145,    696,    968,   1091,   1799,   3492,   3949,   8074,  13821,  13822, 
/* msg =   4936, deg = 10 */    275,    630,   1056,   1333,   1735,   3219,   3669,   7455,  13823,  13824, 
/* msg =   4937, deg = 10 */    267,    608,    834,   1229,   1715,   2792,   4088,   7831,  13824,  13825, 
/* msg =   4938, deg = 10 */     42,    516,    972,   1240,   1692,   2976,   4837,   8514,  13825,  13826, 
/* msg =   4939, deg = 10 */     25,    611,    984,   1365,   1549,   2162,   4938,   7706,  13826,  13827, 
/* msg =   4940, deg = 10 */      9,    634,   1050,   1194,   1468,   1853,   5155,   8019,  13827,  13828, 
/* msg =   4941, deg = 10 */    153,    629,   1040,   1406,   1692,   2883,   4655,   7094,  13828,  13829, 
/* msg =   4942, deg = 10 */    219,    522,   1048,   1364,   1655,   3557,   4310,   7121,  13829,  13830, 
/* msg =   4943, deg = 10 */    152,    611,   1070,   1371,   1648,   3352,   5507,   7448,  13830,  13831, 
/* msg =   4944, deg = 10 */     74,    639,   1043,   1334,   1704,   2059,   5787,   7011,  13831,  13832, 
/* msg =   4945, deg = 10 */    229,    695,   1072,   1167,   1643,   2615,   4321,   7927,  13832,  13833, 
/* msg =   4946, deg = 10 */    265,    615,   1030,   1300,   1692,   2536,   5519,   8479,  13833,  13834, 
/* msg =   4947, deg = 10 */      1,    689,    828,   1352,   1645,   2427,   5854,   6737,  13834,  13835, 
/* msg =   4948, deg = 10 */    336,    700,   1011,   1410,   1625,   1848,   4469,   8532,  13835,  13836, 
/* msg =   4949, deg = 10 */    227,    393,    833,   1168,   1679,   2410,   5202,   6287,  13836,  13837, 
/* msg =   4950, deg = 10 */    246,    621,    996,   1229,   1700,   2795,   3847,   6436,  13837,  13838, 
/* msg =   4951, deg = 10 */    144,    518,    739,   1258,   1630,   2481,   4946,   6403,  13838,  13839, 
/* msg =   4952, deg = 10 */     34,    657,    732,   1361,   1481,   3159,   5121,   7842,  13839,  13840, 
/* msg =   4953, deg = 10 */     47,    373,    763,   1214,   1687,   2048,   4223,   6762,  13840,  13841, 
/* msg =   4954, deg = 10 */    186,    478,    980,   1328,   1704,   3511,   5687,   6489,  13841,  13842, 
/* msg =   4955, deg = 10 */    146,    697,    969,   1092,   1440,   3493,   3950,   8075,  13842,  13843, 
/* msg =   4956, deg = 10 */    276,    631,   1057,   1334,   1736,   3220,   3670,   7456,  13844,  13845, 
/* msg =   4957, deg = 10 */    268,    609,    835,   1230,   1716,   2793,   4089,   7832,  13845,  13846, 
/* msg =   4958, deg = 10 */     43,    517,    973,   1241,   1693,   2977,   4838,   8515,  13846,  13847, 
/* msg =   4959, deg = 10 */     26,    612,    985,   1366,   1550,   2163,   4939,   7707,  13847,  13848, 
/* msg =   4960, deg = 10 */     10,    635,   1051,   1195,   1469,   1854,   5156,   8020,  13848,  13849, 
/* msg =   4961, deg = 10 */    154,    630,   1041,   1407,   1693,   2884,   4656,   7095,  13849,  13850, 
/* msg =   4962, deg = 10 */    220,    523,   1049,   1365,   1656,   3558,   4311,   7122,  13850,  13851, 
/* msg =   4963, deg = 10 */    153,    612,   1071,   1372,   1649,   3353,   5508,   7449,  13851,  13852, 
/* msg =   4964, deg = 10 */     75,    640,   1044,   1335,   1705,   2060,   5788,   7012,  13852,  13853, 
/* msg =   4965, deg = 10 */    230,    696,   1073,   1168,   1644,   2616,   4322,   7928,  13853,  13854, 
/* msg =   4966, deg = 10 */    266,    616,   1031,   1301,   1693,   2537,   5520,   8480,  13854,  13855, 
/* msg =   4967, deg = 10 */      2,    690,    829,   1353,   1646,   2428,   5855,   6738,  13855,  13856, 
/* msg =   4968, deg = 10 */    337,    701,   1012,   1411,   1626,   1849,   4470,   8533,  13856,  13857, 
/* msg =   4969, deg = 10 */    228,    394,    834,   1169,   1680,   2411,   5203,   6288,  13857,  13858, 
/* msg =   4970, deg = 10 */    247,    622,    997,   1230,   1701,   2796,   3848,   6437,  13858,  13859, 
/* msg =   4971, deg = 10 */    145,    519,    740,   1259,   1631,   2482,   4947,   6404,  13859,  13860, 
/* msg =   4972, deg = 10 */     35,    658,    733,   1362,   1482,   3160,   5122,   7843,  13860,  13861, 
/* msg =   4973, deg = 10 */     48,    374,    764,   1215,   1688,   2049,   4224,   6763,  13861,  13862, 
/* msg =   4974, deg = 10 */    187,    479,    981,   1329,   1705,   3512,   5688,   6490,  13862,  13863, 
/* msg =   4975, deg = 10 */    147,    698,    970,   1093,   1441,   3494,   3951,   8076,  13863,  13864, 
/* msg =   4976, deg = 10 */    277,    632,   1058,   1335,   1737,   3221,   3671,   7457,  13865,  13866, 
/* msg =   4977, deg = 10 */    269,    610,    836,   1231,   1717,   2794,   4090,   7833,  13866,  13867, 
/* msg =   4978, deg = 10 */     44,    518,    974,   1242,   1694,   2978,   4839,   8516,  13867,  13868, 
/* msg =   4979, deg = 10 */     27,    613,    986,   1367,   1551,   2164,   4940,   7708,  13868,  13869, 
/* msg =   4980, deg = 10 */     11,    636,   1052,   1196,   1470,   1855,   5157,   8021,  13869,  13870, 
/* msg =   4981, deg = 10 */    155,    631,   1042,   1408,   1694,   2885,   4657,   7096,  13870,  13871, 
/* msg =   4982, deg = 10 */    221,    524,   1050,   1366,   1657,   3559,   4312,   7123,  13871,  13872, 
/* msg =   4983, deg = 10 */    154,    613,   1072,   1373,   1650,   3354,   5509,   7450,  13872,  13873, 
/* msg =   4984, deg = 10 */     76,    641,   1045,   1336,   1706,   2061,   5789,   7013,  13873,  13874, 
/* msg =   4985, deg = 10 */    231,    697,   1074,   1169,   1645,   2617,   4323,   7929,  13874,  13875, 
/* msg =   4986, deg = 10 */    267,    617,   1032,   1302,   1694,   2538,   5521,   8481,  13875,  13876, 
/* msg =   4987, deg = 10 */      3,    691,    830,   1354,   1647,   2429,   5856,   6739,  13876,  13877, 
/* msg =   4988, deg = 10 */    338,    702,   1013,   1412,   1627,   1850,   4471,   8534,  13877,  13878, 
/* msg =   4989, deg = 10 */    229,    395,    835,   1170,   1681,   2412,   5204,   6289,  13878,  13879, 
/* msg =   4990, deg = 10 */    248,    623,    998,   1231,   1702,   2797,   3849,   6438,  13879,  13880, 
/* msg =   4991, deg = 10 */    146,    520,    741,   1260,   1632,   2483,   4948,   6405,  13880,  13881, 
/* msg =   4992, deg = 10 */     36,    659,    734,   1363,   1483,   3161,   5123,   7844,  13881,  13882, 
/* msg =   4993, deg = 10 */     49,    375,    765,   1216,   1689,   2050,   4225,   6764,  13882,  13883, 
/* msg =   4994, deg = 10 */    188,    480,    982,   1330,   1706,   3513,   5689,   6491,  13883,  13884, 
/* msg =   4995, deg = 10 */    148,    699,    971,   1094,   1442,   3495,   3952,   8077,  13884,  13885, 
/* msg =   4996, deg = 10 */    278,    633,   1059,   1336,   1738,   3222,   3672,   7458,  13886,  13887, 
/* msg =   4997, deg = 10 */    270,    611,    837,   1232,   1718,   2795,   4091,   7834,  13887,  13888, 
/* msg =   4998, deg = 10 */     45,    519,    975,   1243,   1695,   2979,   4840,   8517,  13888,  13889, 
/* msg =   4999, deg = 10 */     28,    614,    987,   1368,   1552,   2165,   4941,   7709,  13889,  13890, 
/* msg =   5000, deg = 10 */     12,    637,   1053,   1197,   1471,   1856,   5158,   8022,  13890,  13891, 
/* msg =   5001, deg = 10 */    156,    632,   1043,   1409,   1695,   2886,   4658,   7097,  13891,  13892, 
/* msg =   5002, deg = 10 */    222,    525,   1051,   1367,   1658,   3560,   4313,   7124,  13892,  13893, 
/* msg =   5003, deg = 10 */    155,    614,   1073,   1374,   1651,   3355,   5510,   7451,  13893,  13894, 
/* msg =   5004, deg = 10 */     77,    642,   1046,   1337,   1707,   2062,   5790,   7014,  13894,  13895, 
/* msg =   5005, deg = 10 */    232,    698,   1075,   1170,   1646,   2618,   4324,   7930,  13895,  13896, 
/* msg =   5006, deg = 10 */    268,    618,   1033,   1303,   1695,   2539,   5522,   8482,  13896,  13897, 
/* msg =   5007, deg = 10 */      4,    692,    831,   1355,   1648,   2430,   5857,   6740,  13897,  13898, 
/* msg =   5008, deg = 10 */    339,    703,   1014,   1413,   1628,   1851,   4472,   8535,  13898,  13899, 
/* msg =   5009, deg = 10 */    230,    396,    836,   1171,   1682,   2413,   5205,   6290,  13899,  13900, 
/* msg =   5010, deg = 10 */    249,    624,    999,   1232,   1703,   2798,   3850,   6439,  13900,  13901, 
/* msg =   5011, deg = 10 */    147,    521,    742,   1261,   1633,   2484,   4949,   6406,  13901,  13902, 
/* msg =   5012, deg = 10 */     37,    660,    735,   1364,   1484,   3162,   5124,   7845,  13902,  13903, 
/* msg =   5013, deg = 10 */     50,    376,    766,   1217,   1690,   2051,   4226,   6765,  13903,  13904, 
/* msg =   5014, deg = 10 */    189,    481,    983,   1331,   1707,   3514,   5690,   6492,  13904,  13905, 
/* msg =   5015, deg = 10 */    149,    700,    972,   1095,   1443,   3496,   3953,   8078,  13905,  13906, 
/* msg =   5016, deg = 10 */    279,    634,   1060,   1337,   1739,   3223,   3673,   7459,  13907,  13908, 
/* msg =   5017, deg = 10 */    271,    612,    838,   1233,   1719,   2796,   4092,   7835,  13908,  13909, 
/* msg =   5018, deg = 10 */     46,    520,    976,   1244,   1696,   2980,   4841,   8518,  13909,  13910, 
/* msg =   5019, deg = 10 */     29,    615,    988,   1369,   1553,   2166,   4942,   7710,  13910,  13911, 
/* msg =   5020, deg = 10 */     13,    638,   1054,   1198,   1472,   1857,   5159,   8023,  13911,  13912, 
/* msg =   5021, deg = 10 */    157,    633,   1044,   1410,   1696,   2887,   4659,   7098,  13912,  13913, 
/* msg =   5022, deg = 10 */    223,    526,   1052,   1368,   1659,   3561,   4314,   7125,  13913,  13914, 
/* msg =   5023, deg = 10 */    156,    615,   1074,   1375,   1652,   3356,   5511,   7452,  13914,  13915, 
/* msg =   5024, deg = 10 */     78,    643,   1047,   1338,   1708,   2063,   5791,   7015,  13915,  13916, 
/* msg =   5025, deg = 10 */    233,    699,   1076,   1171,   1647,   2619,   4325,   7931,  13916,  13917, 
/* msg =   5026, deg = 10 */    269,    619,   1034,   1304,   1696,   2540,   5523,   8483,  13917,  13918, 
/* msg =   5027, deg = 10 */      5,    693,    832,   1356,   1649,   2431,   5858,   6741,  13918,  13919, 
/* msg =   5028, deg = 10 */    340,    704,   1015,   1414,   1629,   1852,   4473,   8536,  13919,  13920, 
/* msg =   5029, deg = 10 */    231,    397,    837,   1172,   1683,   2414,   5206,   6291,  13920,  13921, 
/* msg =   5030, deg = 10 */    250,    625,   1000,   1233,   1704,   2799,   3851,   6440,  13921,  13922, 
/* msg =   5031, deg = 10 */    148,    522,    743,   1262,   1634,   2485,   4950,   6407,  13922,  13923, 
/* msg =   5032, deg = 10 */     38,    661,    736,   1365,   1485,   3163,   5125,   7846,  13923,  13924, 
/* msg =   5033, deg = 10 */     51,    377,    767,   1218,   1691,   2052,   4227,   6766,  13924,  13925, 
/* msg =   5034, deg = 10 */    190,    482,    984,   1332,   1708,   3515,   5691,   6493,  13925,  13926, 
/* msg =   5035, deg = 10 */    150,    701,    973,   1096,   1444,   3497,   3954,   8079,  13926,  13927, 
/* msg =   5036, deg = 10 */    280,    635,   1061,   1338,   1740,   3224,   3674,   7460,  13928,  13929, 
/* msg =   5037, deg = 10 */    272,    613,    839,   1234,   1720,   2797,   4093,   7836,  13929,  13930, 
/* msg =   5038, deg = 10 */     47,    521,    977,   1245,   1697,   2981,   4842,   8519,  13930,  13931, 
/* msg =   5039, deg = 10 */     30,    616,    989,   1370,   1554,   2167,   4943,   7711,  13931,  13932, 
/* msg =   5040, deg = 10 */     14,    639,   1055,   1199,   1473,   1858,   5160,   8024,  13932,  13933, 
/* msg =   5041, deg = 10 */    158,    634,   1045,   1411,   1697,   2888,   4660,   7099,  13933,  13934, 
/* msg =   5042, deg = 10 */    224,    527,   1053,   1369,   1660,   3562,   4315,   7126,  13934,  13935, 
/* msg =   5043, deg = 10 */    157,    616,   1075,   1376,   1653,   3357,   5512,   7453,  13935,  13936, 
/* msg =   5044, deg = 10 */     79,    644,   1048,   1339,   1709,   2064,   5792,   7016,  13936,  13937, 
/* msg =   5045, deg = 10 */    234,    700,   1077,   1172,   1648,   2620,   4326,   7932,  13937,  13938, 
/* msg =   5046, deg = 10 */    270,    620,   1035,   1305,   1697,   2541,   5524,   8484,  13938,  13939, 
/* msg =   5047, deg = 10 */      6,    694,    833,   1357,   1650,   2432,   5859,   6742,  13939,  13940, 
/* msg =   5048, deg = 10 */    341,    705,   1016,   1415,   1630,   1853,   4474,   8537,  13940,  13941, 
/* msg =   5049, deg = 10 */    232,    398,    838,   1173,   1684,   2415,   5207,   6292,  13941,  13942, 
/* msg =   5050, deg = 10 */    251,    626,   1001,   1234,   1705,   2800,   3852,   6441,  13942,  13943, 
/* msg =   5051, deg = 10 */    149,    523,    744,   1263,   1635,   2486,   4951,   6408,  13943,  13944, 
/* msg =   5052, deg = 10 */     39,    662,    737,   1366,   1486,   3164,   5126,   7847,  13944,  13945, 
/* msg =   5053, deg = 10 */     52,    378,    768,   1219,   1692,   2053,   4228,   6767,  13945,  13946, 
/* msg =   5054, deg = 10 */    191,    483,    985,   1333,   1709,   3516,   5692,   6494,  13946,  13947, 
/* msg =   5055, deg = 10 */    151,    702,    974,   1097,   1445,   3498,   3955,   8080,  13947,  13948, 
/* msg =   5056, deg = 10 */    281,    636,   1062,   1339,   1741,   3225,   3675,   7461,  13949,  13950, 
/* msg =   5057, deg = 10 */    273,    614,    840,   1235,   1721,   2798,   4094,   7837,  13950,  13951, 
/* msg =   5058, deg = 10 */     48,    522,    978,   1246,   1698,   2982,   4843,   8520,  13951,  13952, 
/* msg =   5059, deg = 10 */     31,    617,    990,   1371,   1555,   2168,   4944,   7712,  13952,  13953, 
/* msg =   5060, deg = 10 */     15,    640,   1056,   1200,   1474,   1859,   5161,   8025,  13953,  13954, 
/* msg =   5061, deg = 10 */    159,    635,   1046,   1412,   1698,   2889,   4661,   7100,  13954,  13955, 
/* msg =   5062, deg = 10 */    225,    528,   1054,   1370,   1661,   3563,   4316,   7127,  13955,  13956, 
/* msg =   5063, deg = 10 */    158,    617,   1076,   1377,   1654,   3358,   5513,   7454,  13956,  13957, 
/* msg =   5064, deg = 10 */     80,    645,   1049,   1340,   1710,   2065,   5793,   7017,  13957,  13958, 
/* msg =   5065, deg = 10 */    235,    701,   1078,   1173,   1649,   2621,   4327,   7933,  13958,  13959, 
/* msg =   5066, deg = 10 */    271,    621,   1036,   1306,   1698,   2542,   5525,   8485,  13959,  13960, 
/* msg =   5067, deg = 10 */      7,    695,    834,   1358,   1651,   2433,   5860,   6743,  13960,  13961, 
/* msg =   5068, deg = 10 */    342,    706,   1017,   1416,   1631,   1854,   4475,   8538,  13961,  13962, 
/* msg =   5069, deg = 10 */    233,    399,    839,   1174,   1685,   2416,   5208,   6293,  13962,  13963, 
/* msg =   5070, deg = 10 */    252,    627,   1002,   1235,   1706,   2801,   3853,   6442,  13963,  13964, 
/* msg =   5071, deg = 10 */    150,    524,    745,   1264,   1636,   2487,   4952,   6409,  13964,  13965, 
/* msg =   5072, deg = 10 */     40,    663,    738,   1367,   1487,   3165,   5127,   7848,  13965,  13966, 
/* msg =   5073, deg = 10 */     53,    379,    769,   1220,   1693,   2054,   4229,   6768,  13966,  13967, 
/* msg =   5074, deg = 10 */    192,    484,    986,   1334,   1710,   3517,   5693,   6495,  13967,  13968, 
/* msg =   5075, deg = 10 */    152,    703,    975,   1098,   1446,   3499,   3956,   8081,  13968,  13969, 
/* msg =   5076, deg = 10 */    282,    637,   1063,   1340,   1742,   3226,   3676,   7462,  13970,  13971, 
/* msg =   5077, deg = 10 */    274,    615,    841,   1236,   1722,   2799,   4095,   7838,  13971,  13972, 
/* msg =   5078, deg = 10 */     49,    523,    979,   1247,   1699,   2983,   4844,   8521,  13972,  13973, 
/* msg =   5079, deg = 10 */     32,    618,    991,   1372,   1556,   2169,   4945,   7713,  13973,  13974, 
/* msg =   5080, deg = 10 */     16,    641,   1057,   1201,   1475,   1860,   5162,   8026,  13974,  13975, 
/* msg =   5081, deg = 10 */    160,    636,   1047,   1413,   1699,   2890,   4662,   7101,  13975,  13976, 
/* msg =   5082, deg = 10 */    226,    529,   1055,   1371,   1662,   3564,   4317,   7128,  13976,  13977, 
/* msg =   5083, deg = 10 */    159,    618,   1077,   1378,   1655,   3359,   5514,   7455,  13977,  13978, 
/* msg =   5084, deg = 10 */     81,    646,   1050,   1341,   1711,   2066,   5794,   7018,  13978,  13979, 
/* msg =   5085, deg = 10 */    236,    702,   1079,   1174,   1650,   2622,   4328,   7934,  13979,  13980, 
/* msg =   5086, deg = 10 */    272,    622,   1037,   1307,   1699,   2543,   5526,   8486,  13980,  13981, 
/* msg =   5087, deg = 10 */      8,    696,    835,   1359,   1652,   2434,   5861,   6744,  13981,  13982, 
/* msg =   5088, deg = 10 */    343,    707,   1018,   1417,   1632,   1855,   4476,   8539,  13982,  13983, 
/* msg =   5089, deg = 10 */    234,    400,    840,   1175,   1686,   2417,   5209,   6294,  13983,  13984, 
/* msg =   5090, deg = 10 */    253,    628,   1003,   1236,   1707,   2802,   3854,   6443,  13984,  13985, 
/* msg =   5091, deg = 10 */    151,    525,    746,   1265,   1637,   2488,   4953,   6410,  13985,  13986, 
/* msg =   5092, deg = 10 */     41,    664,    739,   1368,   1488,   3166,   5128,   7849,  13986,  13987, 
/* msg =   5093, deg = 10 */     54,    380,    770,   1221,   1694,   2055,   4230,   6769,  13987,  13988, 
/* msg =   5094, deg = 10 */    193,    485,    987,   1335,   1711,   3518,   5694,   6496,  13988,  13989, 
/* msg =   5095, deg = 10 */    153,    704,    976,   1099,   1447,   3500,   3957,   8082,  13989,  13990, 
/* msg =   5096, deg = 10 */    283,    638,   1064,   1341,   1743,   3227,   3677,   7463,  13991,  13992, 
/* msg =   5097, deg = 10 */    275,    616,    842,   1237,   1723,   2800,   4096,   7839,  13992,  13993, 
/* msg =   5098, deg = 10 */     50,    524,    980,   1248,   1700,   2984,   4845,   8522,  13993,  13994, 
/* msg =   5099, deg = 10 */     33,    619,    992,   1373,   1557,   2170,   4946,   7714,  13994,  13995, 
/* msg =   5100, deg = 10 */     17,    642,   1058,   1202,   1476,   1861,   5163,   8027,  13995,  13996, 
/* msg =   5101, deg = 10 */    161,    637,   1048,   1414,   1700,   2891,   4663,   7102,  13996,  13997, 
/* msg =   5102, deg = 10 */    227,    530,   1056,   1372,   1663,   3565,   4318,   7129,  13997,  13998, 
/* msg =   5103, deg = 10 */    160,    619,   1078,   1379,   1656,   3360,   5515,   7456,  13998,  13999, 
/* msg =   5104, deg = 10 */     82,    647,   1051,   1342,   1712,   2067,   5795,   7019,  13999,  14000, 
/* msg =   5105, deg = 10 */    237,    703,    720,   1175,   1651,   2623,   4329,   7935,  14000,  14001, 
/* msg =   5106, deg = 10 */    273,    623,   1038,   1308,   1700,   2544,   5527,   8487,  14001,  14002, 
/* msg =   5107, deg = 10 */      9,    697,    836,   1360,   1653,   2435,   5862,   6745,  14002,  14003, 
/* msg =   5108, deg = 10 */    344,    708,   1019,   1418,   1633,   1856,   4477,   8540,  14003,  14004, 
/* msg =   5109, deg = 10 */    235,    401,    841,   1176,   1687,   2418,   5210,   6295,  14004,  14005, 
/* msg =   5110, deg = 10 */    254,    629,   1004,   1237,   1708,   2803,   3855,   6444,  14005,  14006, 
/* msg =   5111, deg = 10 */    152,    526,    747,   1266,   1638,   2489,   4954,   6411,  14006,  14007, 
/* msg =   5112, deg = 10 */     42,    665,    740,   1369,   1489,   3167,   5129,   7850,  14007,  14008, 
/* msg =   5113, deg = 10 */     55,    381,    771,   1222,   1695,   2056,   4231,   6770,  14008,  14009, 
/* msg =   5114, deg = 10 */    194,    486,    988,   1336,   1712,   3519,   5695,   6497,  14009,  14010, 
/* msg =   5115, deg = 10 */    154,    705,    977,   1100,   1448,   3501,   3958,   8083,  14010,  14011, 
/* msg =   5116, deg = 10 */    284,    639,   1065,   1342,   1744,   3228,   3678,   7464,  14012,  14013, 
/* msg =   5117, deg = 10 */    276,    617,    843,   1238,   1724,   2801,   4097,   7840,  14013,  14014, 
/* msg =   5118, deg = 10 */     51,    525,    981,   1249,   1701,   2985,   4846,   8523,  14014,  14015, 
/* msg =   5119, deg = 10 */     34,    620,    993,   1374,   1558,   2171,   4947,   7715,  14015,  14016, 
/* msg =   5120, deg = 10 */     18,    643,   1059,   1203,   1477,   1862,   5164,   8028,  14016,  14017, 
/* msg =   5121, deg = 10 */    162,    638,   1049,   1415,   1701,   2892,   4664,   7103,  14017,  14018, 
/* msg =   5122, deg = 10 */    228,    531,   1057,   1373,   1664,   3566,   4319,   7130,  14018,  14019, 
/* msg =   5123, deg = 10 */    161,    620,   1079,   1380,   1657,   3361,   5516,   7457,  14019,  14020, 
/* msg =   5124, deg = 10 */     83,    648,   1052,   1343,   1713,   2068,   5796,   7020,  14020,  14021, 
/* msg =   5125, deg = 10 */    238,    704,    721,   1176,   1652,   2624,   4330,   7936,  14021,  14022, 
/* msg =   5126, deg = 10 */    274,    624,   1039,   1309,   1701,   2545,   5528,   8488,  14022,  14023, 
/* msg =   5127, deg = 10 */     10,    698,    837,   1361,   1654,   2436,   5863,   6746,  14023,  14024, 
/* msg =   5128, deg = 10 */    345,    709,   1020,   1419,   1634,   1857,   4478,   8541,  14024,  14025, 
/* msg =   5129, deg = 10 */    236,    402,    842,   1177,   1688,   2419,   5211,   6296,  14025,  14026, 
/* msg =   5130, deg = 10 */    255,    630,   1005,   1238,   1709,   2804,   3856,   6445,  14026,  14027, 
/* msg =   5131, deg = 10 */    153,    527,    748,   1267,   1639,   2490,   4955,   6412,  14027,  14028, 
/* msg =   5132, deg = 10 */     43,    666,    741,   1370,   1490,   3168,   5130,   7851,  14028,  14029, 
/* msg =   5133, deg = 10 */     56,    382,    772,   1223,   1696,   2057,   4232,   6771,  14029,  14030, 
/* msg =   5134, deg = 10 */    195,    487,    989,   1337,   1713,   3520,   5696,   6498,  14030,  14031, 
/* msg =   5135, deg = 10 */    155,    706,    978,   1101,   1449,   3502,   3959,   8084,  14031,  14032, 
/* msg =   5136, deg = 10 */    285,    640,   1066,   1343,   1745,   3229,   3679,   7465,  14033,  14034, 
/* msg =   5137, deg = 10 */    277,    618,    844,   1239,   1725,   2802,   4098,   7841,  14034,  14035, 
/* msg =   5138, deg = 10 */     52,    526,    982,   1250,   1702,   2986,   4847,   8524,  14035,  14036, 
/* msg =   5139, deg = 10 */     35,    621,    994,   1375,   1559,   2172,   4948,   7716,  14036,  14037, 
/* msg =   5140, deg = 10 */     19,    644,   1060,   1204,   1478,   1863,   5165,   8029,  14037,  14038, 
/* msg =   5141, deg = 10 */    163,    639,   1050,   1416,   1702,   2893,   4665,   7104,  14038,  14039, 
/* msg =   5142, deg = 10 */    229,    532,   1058,   1374,   1665,   3567,   3960,   7131,  14039,  14040, 
/* msg =   5143, deg = 10 */    162,    621,    720,   1381,   1658,   3362,   5517,   7458,  14040,  14041, 
/* msg =   5144, deg = 10 */     84,    649,   1053,   1344,   1714,   2069,   5797,   7021,  14041,  14042, 
/* msg =   5145, deg = 10 */    239,    705,    722,   1177,   1653,   2625,   4331,   7937,  14042,  14043, 
/* msg =   5146, deg = 10 */    275,    625,   1040,   1310,   1702,   2546,   5529,   8489,  14043,  14044, 
/* msg =   5147, deg = 10 */     11,    699,    838,   1362,   1655,   2437,   5864,   6747,  14044,  14045, 
/* msg =   5148, deg = 10 */    346,    710,   1021,   1420,   1635,   1858,   4479,   8542,  14045,  14046, 
/* msg =   5149, deg = 10 */    237,    403,    843,   1178,   1689,   2420,   5212,   6297,  14046,  14047, 
/* msg =   5150, deg = 10 */    256,    631,   1006,   1239,   1710,   2805,   3857,   6446,  14047,  14048, 
/* msg =   5151, deg = 10 */    154,    528,    749,   1268,   1640,   2491,   4956,   6413,  14048,  14049, 
/* msg =   5152, deg = 10 */     44,    667,    742,   1371,   1491,   3169,   5131,   7852,  14049,  14050, 
/* msg =   5153, deg = 10 */     57,    383,    773,   1224,   1697,   2058,   4233,   6772,  14050,  14051, 
/* msg =   5154, deg = 10 */    196,    488,    990,   1338,   1714,   3521,   5697,   6499,  14051,  14052, 
/* msg =   5155, deg = 10 */    156,    707,    979,   1102,   1450,   3503,   3600,   8085,  14052,  14053, 
/* msg =   5156, deg = 10 */    286,    641,   1067,   1344,   1746,   3230,   3680,   7466,  14054,  14055, 
/* msg =   5157, deg = 10 */    278,    619,    845,   1240,   1726,   2803,   4099,   7842,  14055,  14056, 
/* msg =   5158, deg = 10 */     53,    527,    983,   1251,   1703,   2987,   4848,   8525,  14056,  14057, 
/* msg =   5159, deg = 10 */     36,    622,    995,   1376,   1560,   2173,   4949,   7717,  14057,  14058, 
/* msg =   5160, deg = 10 */     20,    645,   1061,   1205,   1479,   1864,   5166,   8030,  14058,  14059, 
/* msg =   5161, deg = 10 */    164,    640,   1051,   1417,   1703,   2894,   4666,   7105,  14059,  14060, 
/* msg =   5162, deg = 10 */    230,    533,   1059,   1375,   1666,   3568,   3961,   7132,  14060,  14061, 
/* msg =   5163, deg = 10 */    163,    622,    721,   1382,   1659,   3363,   5518,   7459,  14061,  14062, 
/* msg =   5164, deg = 10 */     85,    650,   1054,   1345,   1715,   2070,   5798,   7022,  14062,  14063, 
/* msg =   5165, deg = 10 */    240,    706,    723,   1178,   1654,   2626,   4332,   7938,  14063,  14064, 
/* msg =   5166, deg = 10 */    276,    626,   1041,   1311,   1703,   2547,   5530,   8490,  14064,  14065, 
/* msg =   5167, deg = 10 */     12,    700,    839,   1363,   1656,   2438,   5865,   6748,  14065,  14066, 
/* msg =   5168, deg = 10 */    347,    711,   1022,   1421,   1636,   1859,   4480,   8543,  14066,  14067, 
/* msg =   5169, deg = 10 */    238,    404,    844,   1179,   1690,   2421,   5213,   6298,  14067,  14068, 
/* msg =   5170, deg = 10 */    257,    632,   1007,   1240,   1711,   2806,   3858,   6447,  14068,  14069, 
/* msg =   5171, deg = 10 */    155,    529,    750,   1269,   1641,   2492,   4957,   6414,  14069,  14070, 
/* msg =   5172, deg = 10 */     45,    668,    743,   1372,   1492,   3170,   5132,   7853,  14070,  14071, 
/* msg =   5173, deg = 10 */     58,    384,    774,   1225,   1698,   2059,   4234,   6773,  14071,  14072, 
/* msg =   5174, deg = 10 */    197,    489,    991,   1339,   1715,   3522,   5698,   6500,  14072,  14073, 
/* msg =   5175, deg = 10 */    157,    708,    980,   1103,   1451,   3504,   3601,   8086,  14073,  14074, 
/* msg =   5176, deg = 10 */    287,    642,   1068,   1345,   1747,   3231,   3681,   7467,  14075,  14076, 
/* msg =   5177, deg = 10 */    279,    620,    846,   1241,   1727,   2804,   4100,   7843,  14076,  14077, 
/* msg =   5178, deg = 10 */     54,    528,    984,   1252,   1704,   2988,   4849,   8526,  14077,  14078, 
/* msg =   5179, deg = 10 */     37,    623,    996,   1377,   1561,   2174,   4950,   7718,  14078,  14079, 
/* msg =   5180, deg = 10 */     21,    646,   1062,   1206,   1480,   1865,   5167,   8031,  14079,  14080, 
/* msg =   5181, deg = 10 */    165,    641,   1052,   1418,   1704,   2895,   4667,   7106,  14080,  14081, 
/* msg =   5182, deg = 10 */    231,    534,   1060,   1376,   1667,   3569,   3962,   7133,  14081,  14082, 
/* msg =   5183, deg = 10 */    164,    623,    722,   1383,   1660,   3364,   5519,   7460,  14082,  14083, 
/* msg =   5184, deg = 10 */     86,    651,   1055,   1346,   1716,   2071,   5799,   7023,  14083,  14084, 
/* msg =   5185, deg = 10 */    241,    707,    724,   1179,   1655,   2627,   4333,   7939,  14084,  14085, 
/* msg =   5186, deg = 10 */    277,    627,   1042,   1312,   1704,   2548,   5531,   8491,  14085,  14086, 
/* msg =   5187, deg = 10 */     13,    701,    840,   1364,   1657,   2439,   5866,   6749,  14086,  14087, 
/* msg =   5188, deg = 10 */    348,    712,   1023,   1422,   1637,   1860,   4481,   8544,  14087,  14088, 
/* msg =   5189, deg = 10 */    239,    405,    845,   1180,   1691,   2422,   5214,   6299,  14088,  14089, 
/* msg =   5190, deg = 10 */    258,    633,   1008,   1241,   1712,   2807,   3859,   6448,  14089,  14090, 
/* msg =   5191, deg = 10 */    156,    530,    751,   1270,   1642,   2493,   4958,   6415,  14090,  14091, 
/* msg =   5192, deg = 10 */     46,    669,    744,   1373,   1493,   3171,   5133,   7854,  14091,  14092, 
/* msg =   5193, deg = 10 */     59,    385,    775,   1226,   1699,   2060,   4235,   6774,  14092,  14093, 
/* msg =   5194, deg = 10 */    198,    490,    992,   1340,   1716,   3523,   5699,   6501,  14093,  14094, 
/* msg =   5195, deg = 10 */    158,    709,    981,   1104,   1452,   3505,   3602,   8087,  14094,  14095, 
/* msg =   5196, deg = 10 */    288,    643,   1069,   1346,   1748,   3232,   3682,   7468,  14096,  14097, 
/* msg =   5197, deg = 10 */    280,    621,    847,   1242,   1728,   2805,   4101,   7844,  14097,  14098, 
/* msg =   5198, deg = 10 */     55,    529,    985,   1253,   1705,   2989,   4850,   8527,  14098,  14099, 
/* msg =   5199, deg = 10 */     38,    624,    997,   1378,   1562,   2175,   4951,   7719,  14099,  14100, 
/* msg =   5200, deg = 10 */     22,    647,   1063,   1207,   1481,   1866,   5168,   8032,  14100,  14101, 
/* msg =   5201, deg = 10 */    166,    642,   1053,   1419,   1705,   2896,   4668,   7107,  14101,  14102, 
/* msg =   5202, deg = 10 */    232,    535,   1061,   1377,   1668,   3570,   3963,   7134,  14102,  14103, 
/* msg =   5203, deg = 10 */    165,    624,    723,   1384,   1661,   3365,   5520,   7461,  14103,  14104, 
/* msg =   5204, deg = 10 */     87,    652,   1056,   1347,   1717,   2072,   5800,   7024,  14104,  14105, 
/* msg =   5205, deg = 10 */    242,    708,    725,   1180,   1656,   2628,   4334,   7940,  14105,  14106, 
/* msg =   5206, deg = 10 */    278,    628,   1043,   1313,   1705,   2549,   5532,   8492,  14106,  14107, 
/* msg =   5207, deg = 10 */     14,    702,    841,   1365,   1658,   2440,   5867,   6750,  14107,  14108, 
/* msg =   5208, deg = 10 */    349,    713,   1024,   1423,   1638,   1861,   4482,   8545,  14108,  14109, 
/* msg =   5209, deg = 10 */    240,    406,    846,   1181,   1692,   2423,   5215,   6300,  14109,  14110, 
/* msg =   5210, deg = 10 */    259,    634,   1009,   1242,   1713,   2808,   3860,   6449,  14110,  14111, 
/* msg =   5211, deg = 10 */    157,    531,    752,   1271,   1643,   2494,   4959,   6416,  14111,  14112, 
/* msg =   5212, deg = 10 */     47,    670,    745,   1374,   1494,   3172,   5134,   7855,  14112,  14113, 
/* msg =   5213, deg = 10 */     60,    386,    776,   1227,   1700,   2061,   4236,   6775,  14113,  14114, 
/* msg =   5214, deg = 10 */    199,    491,    993,   1341,   1717,   3524,   5700,   6502,  14114,  14115, 
/* msg =   5215, deg = 10 */    159,    710,    982,   1105,   1453,   3506,   3603,   8088,  14115,  14116, 
/* msg =   5216, deg = 10 */    289,    644,   1070,   1347,   1749,   3233,   3683,   7469,  14117,  14118, 
/* msg =   5217, deg = 10 */    281,    622,    848,   1243,   1729,   2806,   4102,   7845,  14118,  14119, 
/* msg =   5218, deg = 10 */     56,    530,    986,   1254,   1706,   2990,   4851,   8528,  14119,  14120, 
/* msg =   5219, deg = 10 */     39,    625,    998,   1379,   1563,   2176,   4952,   7720,  14120,  14121, 
/* msg =   5220, deg = 10 */     23,    648,   1064,   1208,   1482,   1867,   5169,   8033,  14121,  14122, 
/* msg =   5221, deg = 10 */    167,    643,   1054,   1420,   1706,   2897,   4669,   7108,  14122,  14123, 
/* msg =   5222, deg = 10 */    233,    536,   1062,   1378,   1669,   3571,   3964,   7135,  14123,  14124, 
/* msg =   5223, deg = 10 */    166,    625,    724,   1385,   1662,   3366,   5521,   7462,  14124,  14125, 
/* msg =   5224, deg = 10 */     88,    653,   1057,   1348,   1718,   2073,   5801,   7025,  14125,  14126, 
/* msg =   5225, deg = 10 */    243,    709,    726,   1181,   1657,   2629,   4335,   7941,  14126,  14127, 
/* msg =   5226, deg = 10 */    279,    629,   1044,   1314,   1706,   2550,   5533,   8493,  14127,  14128, 
/* msg =   5227, deg = 10 */     15,    703,    842,   1366,   1659,   2441,   5868,   6751,  14128,  14129, 
/* msg =   5228, deg = 10 */    350,    714,   1025,   1424,   1639,   1862,   4483,   8546,  14129,  14130, 
/* msg =   5229, deg = 10 */    241,    407,    847,   1182,   1693,   2424,   5216,   6301,  14130,  14131, 
/* msg =   5230, deg = 10 */    260,    635,   1010,   1243,   1714,   2809,   3861,   6450,  14131,  14132, 
/* msg =   5231, deg = 10 */    158,    532,    753,   1272,   1644,   2495,   4960,   6417,  14132,  14133, 
/* msg =   5232, deg = 10 */     48,    671,    746,   1375,   1495,   3173,   5135,   7856,  14133,  14134, 
/* msg =   5233, deg = 10 */     61,    387,    777,   1228,   1701,   2062,   4237,   6776,  14134,  14135, 
/* msg =   5234, deg = 10 */    200,    492,    994,   1342,   1718,   3525,   5701,   6503,  14135,  14136, 
/* msg =   5235, deg = 10 */    160,    711,    983,   1106,   1454,   3507,   3604,   8089,  14136,  14137, 
/* msg =   5236, deg = 10 */    290,    645,   1071,   1348,   1750,   3234,   3684,   7470,  14138,  14139, 
/* msg =   5237, deg = 10 */    282,    623,    849,   1244,   1730,   2807,   4103,   7846,  14139,  14140, 
/* msg =   5238, deg = 10 */     57,    531,    987,   1255,   1707,   2991,   4852,   8529,  14140,  14141, 
/* msg =   5239, deg = 10 */     40,    626,    999,   1380,   1564,   2177,   4953,   7721,  14141,  14142, 
/* msg =   5240, deg = 10 */     24,    649,   1065,   1209,   1483,   1868,   5170,   8034,  14142,  14143, 
/* msg =   5241, deg = 10 */    168,    644,   1055,   1421,   1707,   2898,   4670,   7109,  14143,  14144, 
/* msg =   5242, deg = 10 */    234,    537,   1063,   1379,   1670,   3572,   3965,   7136,  14144,  14145, 
/* msg =   5243, deg = 10 */    167,    626,    725,   1386,   1663,   3367,   5522,   7463,  14145,  14146, 
/* msg =   5244, deg = 10 */     89,    654,   1058,   1349,   1719,   2074,   5802,   7026,  14146,  14147, 
/* msg =   5245, deg = 10 */    244,    710,    727,   1182,   1658,   2630,   4336,   7942,  14147,  14148, 
/* msg =   5246, deg = 10 */    280,    630,   1045,   1315,   1707,   2551,   5534,   8494,  14148,  14149, 
/* msg =   5247, deg = 10 */     16,    704,    843,   1367,   1660,   2442,   5869,   6752,  14149,  14150, 
/* msg =   5248, deg = 10 */    351,    715,   1026,   1425,   1640,   1863,   4484,   8547,  14150,  14151, 
/* msg =   5249, deg = 10 */    242,    408,    848,   1183,   1694,   2425,   5217,   6302,  14151,  14152, 
/* msg =   5250, deg = 10 */    261,    636,   1011,   1244,   1715,   2810,   3862,   6451,  14152,  14153, 
/* msg =   5251, deg = 10 */    159,    533,    754,   1273,   1645,   2496,   4961,   6418,  14153,  14154, 
/* msg =   5252, deg = 10 */     49,    672,    747,   1376,   1496,   3174,   5136,   7857,  14154,  14155, 
/* msg =   5253, deg = 10 */     62,    388,    778,   1229,   1702,   2063,   4238,   6777,  14155,  14156, 
/* msg =   5254, deg = 10 */    201,    493,    995,   1343,   1719,   3526,   5702,   6504,  14156,  14157, 
/* msg =   5255, deg = 10 */    161,    712,    984,   1107,   1455,   3508,   3605,   8090,  14157,  14158, 
/* msg =   5256, deg = 10 */    291,    646,   1072,   1349,   1751,   3235,   3685,   7471,  14159,  14160, 
/* msg =   5257, deg = 10 */    283,    624,    850,   1245,   1731,   2808,   4104,   7847,  14160,  14161, 
/* msg =   5258, deg = 10 */     58,    532,    988,   1256,   1708,   2992,   4853,   8530,  14161,  14162, 
/* msg =   5259, deg = 10 */     41,    627,   1000,   1381,   1565,   2178,   4954,   7722,  14162,  14163, 
/* msg =   5260, deg = 10 */     25,    650,   1066,   1210,   1484,   1869,   5171,   8035,  14163,  14164, 
/* msg =   5261, deg = 10 */    169,    645,   1056,   1422,   1708,   2899,   4671,   7110,  14164,  14165, 
/* msg =   5262, deg = 10 */    235,    538,   1064,   1380,   1671,   3573,   3966,   7137,  14165,  14166, 
/* msg =   5263, deg = 10 */    168,    627,    726,   1387,   1664,   3368,   5523,   7464,  14166,  14167, 
/* msg =   5264, deg = 10 */     90,    655,   1059,   1350,   1720,   2075,   5803,   7027,  14167,  14168, 
/* msg =   5265, deg = 10 */    245,    711,    728,   1183,   1659,   2631,   4337,   7943,  14168,  14169, 
/* msg =   5266, deg = 10 */    281,    631,   1046,   1316,   1708,   2552,   5535,   8495,  14169,  14170, 
/* msg =   5267, deg = 10 */     17,    705,    844,   1368,   1661,   2443,   5870,   6753,  14170,  14171, 
/* msg =   5268, deg = 10 */    352,    716,   1027,   1426,   1641,   1864,   4485,   8548,  14171,  14172, 
/* msg =   5269, deg = 10 */    243,    409,    849,   1184,   1695,   2426,   5218,   6303,  14172,  14173, 
/* msg =   5270, deg = 10 */    262,    637,   1012,   1245,   1716,   2811,   3863,   6452,  14173,  14174, 
/* msg =   5271, deg = 10 */    160,    534,    755,   1274,   1646,   2497,   4962,   6419,  14174,  14175, 
/* msg =   5272, deg = 10 */     50,    673,    748,   1377,   1497,   3175,   5137,   7858,  14175,  14176, 
/* msg =   5273, deg = 10 */     63,    389,    779,   1230,   1703,   2064,   4239,   6778,  14176,  14177, 
/* msg =   5274, deg = 10 */    202,    494,    996,   1344,   1720,   3527,   5703,   6505,  14177,  14178, 
/* msg =   5275, deg = 10 */    162,    713,    985,   1108,   1456,   3509,   3606,   8091,  14178,  14179, 
/* msg =   5276, deg = 10 */    292,    647,   1073,   1350,   1752,   3236,   3686,   7472,  14180,  14181, 
/* msg =   5277, deg = 10 */    284,    625,    851,   1246,   1732,   2809,   4105,   7848,  14181,  14182, 
/* msg =   5278, deg = 10 */     59,    533,    989,   1257,   1709,   2993,   4854,   8531,  14182,  14183, 
/* msg =   5279, deg = 10 */     42,    628,   1001,   1382,   1566,   2179,   4955,   7723,  14183,  14184, 
/* msg =   5280, deg = 10 */     26,    651,   1067,   1211,   1485,   1870,   5172,   8036,  14184,  14185, 
/* msg =   5281, deg = 10 */    170,    646,   1057,   1423,   1709,   2900,   4672,   7111,  14185,  14186, 
/* msg =   5282, deg = 10 */    236,    539,   1065,   1381,   1672,   3574,   3967,   7138,  14186,  14187, 
/* msg =   5283, deg = 10 */    169,    628,    727,   1388,   1665,   3369,   5524,   7465,  14187,  14188, 
/* msg =   5284, deg = 10 */     91,    656,   1060,   1351,   1721,   2076,   5804,   7028,  14188,  14189, 
/* msg =   5285, deg = 10 */    246,    712,    729,   1184,   1660,   2632,   4338,   7944,  14189,  14190, 
/* msg =   5286, deg = 10 */    282,    632,   1047,   1317,   1709,   2553,   5536,   8496,  14190,  14191, 
/* msg =   5287, deg = 10 */     18,    706,    845,   1369,   1662,   2444,   5871,   6754,  14191,  14192, 
/* msg =   5288, deg = 10 */    353,    717,   1028,   1427,   1642,   1865,   4486,   8549,  14192,  14193, 
/* msg =   5289, deg = 10 */    244,    410,    850,   1185,   1696,   2427,   5219,   6304,  14193,  14194, 
/* msg =   5290, deg = 10 */    263,    638,   1013,   1246,   1717,   2812,   3864,   6453,  14194,  14195, 
/* msg =   5291, deg = 10 */    161,    535,    756,   1275,   1647,   2498,   4963,   6420,  14195,  14196, 
/* msg =   5292, deg = 10 */     51,    674,    749,   1378,   1498,   3176,   5138,   7859,  14196,  14197, 
/* msg =   5293, deg = 10 */     64,    390,    780,   1231,   1704,   2065,   4240,   6779,  14197,  14198, 
/* msg =   5294, deg = 10 */    203,    495,    997,   1345,   1721,   3528,   5704,   6506,  14198,  14199, 
/* msg =   5295, deg = 10 */    163,    714,    986,   1109,   1457,   3510,   3607,   8092,  14199,  14200, 
/* msg =   5296, deg = 10 */    293,    648,   1074,   1351,   1753,   3237,   3687,   7473,  14201,  14202, 
/* msg =   5297, deg = 10 */    285,    626,    852,   1247,   1733,   2810,   4106,   7849,  14202,  14203, 
/* msg =   5298, deg = 10 */     60,    534,    990,   1258,   1710,   2994,   4855,   8532,  14203,  14204, 
/* msg =   5299, deg = 10 */     43,    629,   1002,   1383,   1567,   2180,   4956,   7724,  14204,  14205, 
/* msg =   5300, deg = 10 */     27,    652,   1068,   1212,   1486,   1871,   5173,   8037,  14205,  14206, 
/* msg =   5301, deg = 10 */    171,    647,   1058,   1424,   1710,   2901,   4673,   7112,  14206,  14207, 
/* msg =   5302, deg = 10 */    237,    540,   1066,   1382,   1673,   3575,   3968,   7139,  14207,  14208, 
/* msg =   5303, deg = 10 */    170,    629,    728,   1389,   1666,   3370,   5525,   7466,  14208,  14209, 
/* msg =   5304, deg = 10 */     92,    657,   1061,   1352,   1722,   2077,   5805,   7029,  14209,  14210, 
/* msg =   5305, deg = 10 */    247,    713,    730,   1185,   1661,   2633,   4339,   7945,  14210,  14211, 
/* msg =   5306, deg = 10 */    283,    633,   1048,   1318,   1710,   2554,   5537,   8497,  14211,  14212, 
/* msg =   5307, deg = 10 */     19,    707,    846,   1370,   1663,   2445,   5872,   6755,  14212,  14213, 
/* msg =   5308, deg = 10 */    354,    718,   1029,   1428,   1643,   1866,   4487,   8550,  14213,  14214, 
/* msg =   5309, deg = 10 */    245,    411,    851,   1186,   1697,   2428,   5220,   6305,  14214,  14215, 
/* msg =   5310, deg = 10 */    264,    639,   1014,   1247,   1718,   2813,   3865,   6454,  14215,  14216, 
/* msg =   5311, deg = 10 */    162,    536,    757,   1276,   1648,   2499,   4964,   6421,  14216,  14217, 
/* msg =   5312, deg = 10 */     52,    675,    750,   1379,   1499,   3177,   5139,   7860,  14217,  14218, 
/* msg =   5313, deg = 10 */     65,    391,    781,   1232,   1705,   2066,   4241,   6780,  14218,  14219, 
/* msg =   5314, deg = 10 */    204,    496,    998,   1346,   1722,   3529,   5705,   6507,  14219,  14220, 
/* msg =   5315, deg = 10 */    164,    715,    987,   1110,   1458,   3511,   3608,   8093,  14220,  14221, 
/* msg =   5316, deg = 10 */    294,    649,   1075,   1352,   1754,   3238,   3688,   7474,  14222,  14223, 
/* msg =   5317, deg = 10 */    286,    627,    853,   1248,   1734,   2811,   4107,   7850,  14223,  14224, 
/* msg =   5318, deg = 10 */     61,    535,    991,   1259,   1711,   2995,   4856,   8533,  14224,  14225, 
/* msg =   5319, deg = 10 */     44,    630,   1003,   1384,   1568,   2181,   4957,   7725,  14225,  14226, 
/* msg =   5320, deg = 10 */     28,    653,   1069,   1213,   1487,   1872,   5174,   8038,  14226,  14227, 
/* msg =   5321, deg = 10 */    172,    648,   1059,   1425,   1711,   2902,   4674,   7113,  14227,  14228, 
/* msg =   5322, deg = 10 */    238,    541,   1067,   1383,   1674,   3576,   3969,   7140,  14228,  14229, 
/* msg =   5323, deg = 10 */    171,    630,    729,   1390,   1667,   3371,   5526,   7467,  14229,  14230, 
/* msg =   5324, deg = 10 */     93,    658,   1062,   1353,   1723,   2078,   5806,   7030,  14230,  14231, 
/* msg =   5325, deg = 10 */    248,    714,    731,   1186,   1662,   2634,   4340,   7946,  14231,  14232, 
/* msg =   5326, deg = 10 */    284,    634,   1049,   1319,   1711,   2555,   5538,   8498,  14232,  14233, 
/* msg =   5327, deg = 10 */     20,    708,    847,   1371,   1664,   2446,   5873,   6756,  14233,  14234, 
/* msg =   5328, deg = 10 */    355,    719,   1030,   1429,   1644,   1867,   4488,   8551,  14234,  14235, 
/* msg =   5329, deg = 10 */    246,    412,    852,   1187,   1698,   2429,   5221,   6306,  14235,  14236, 
/* msg =   5330, deg = 10 */    265,    640,   1015,   1248,   1719,   2814,   3866,   6455,  14236,  14237, 
/* msg =   5331, deg = 10 */    163,    537,    758,   1277,   1649,   2500,   4965,   6422,  14237,  14238, 
/* msg =   5332, deg = 10 */     53,    676,    751,   1380,   1500,   3178,   5140,   7861,  14238,  14239, 
/* msg =   5333, deg = 10 */     66,    392,    782,   1233,   1706,   2067,   4242,   6781,  14239,  14240, 
/* msg =   5334, deg = 10 */    205,    497,    999,   1347,   1723,   3530,   5706,   6508,  14240,  14241, 
/* msg =   5335, deg = 10 */    165,    716,    988,   1111,   1459,   3512,   3609,   8094,  14241,  14242, 
/* msg =   5336, deg = 10 */    295,    650,   1076,   1353,   1755,   3239,   3689,   7475,  14243,  14244, 
/* msg =   5337, deg = 10 */    287,    628,    854,   1249,   1735,   2812,   4108,   7851,  14244,  14245, 
/* msg =   5338, deg = 10 */     62,    536,    992,   1260,   1712,   2996,   4857,   8534,  14245,  14246, 
/* msg =   5339, deg = 10 */     45,    631,   1004,   1385,   1569,   2182,   4958,   7726,  14246,  14247, 
/* msg =   5340, deg = 10 */     29,    654,   1070,   1214,   1488,   1873,   5175,   8039,  14247,  14248, 
/* msg =   5341, deg = 10 */    173,    649,   1060,   1426,   1712,   2903,   4675,   7114,  14248,  14249, 
/* msg =   5342, deg = 10 */    239,    542,   1068,   1384,   1675,   3577,   3970,   7141,  14249,  14250, 
/* msg =   5343, deg = 10 */    172,    631,    730,   1391,   1668,   3372,   5527,   7468,  14250,  14251, 
/* msg =   5344, deg = 10 */     94,    659,   1063,   1354,   1724,   2079,   5807,   7031,  14251,  14252, 
/* msg =   5345, deg = 10 */    249,    715,    732,   1187,   1663,   2635,   4341,   7947,  14252,  14253, 
/* msg =   5346, deg = 10 */    285,    635,   1050,   1320,   1712,   2556,   5539,   8499,  14253,  14254, 
/* msg =   5347, deg = 10 */     21,    709,    848,   1372,   1665,   2447,   5874,   6757,  14254,  14255, 
/* msg =   5348, deg = 10 */    356,    360,   1031,   1430,   1645,   1868,   4489,   8552,  14255,  14256, 
/* msg =   5349, deg = 10 */    247,    413,    853,   1188,   1699,   2430,   5222,   6307,  14256,  14257, 
/* msg =   5350, deg = 10 */    266,    641,   1016,   1249,   1720,   2815,   3867,   6456,  14257,  14258, 
/* msg =   5351, deg = 10 */    164,    538,    759,   1278,   1650,   2501,   4966,   6423,  14258,  14259, 
/* msg =   5352, deg = 10 */     54,    677,    752,   1381,   1501,   3179,   5141,   7862,  14259,  14260, 
/* msg =   5353, deg = 10 */     67,    393,    783,   1234,   1707,   2068,   4243,   6782,  14260,  14261, 
/* msg =   5354, deg = 10 */    206,    498,   1000,   1348,   1724,   3531,   5707,   6509,  14261,  14262, 
/* msg =   5355, deg = 10 */    166,    717,    989,   1112,   1460,   3513,   3610,   8095,  14262,  14263, 
/* msg =   5356, deg = 10 */    296,    651,   1077,   1354,   1756,   2880,   3690,   7476,  14264,  14265, 
/* msg =   5357, deg = 10 */    288,    629,    855,   1250,   1736,   2813,   4109,   7852,  14265,  14266, 
/* msg =   5358, deg = 10 */     63,    537,    993,   1261,   1713,   2997,   4858,   8535,  14266,  14267, 
/* msg =   5359, deg = 10 */     46,    632,   1005,   1386,   1570,   2183,   4959,   7727,  14267,  14268, 
/* msg =   5360, deg = 10 */     30,    655,   1071,   1215,   1489,   1874,   5176,   8040,  14268,  14269, 
/* msg =   5361, deg = 10 */    174,    650,   1061,   1427,   1713,   2904,   4676,   7115,  14269,  14270, 
/* msg =   5362, deg = 10 */    240,    543,   1069,   1385,   1676,   3578,   3971,   7142,  14270,  14271, 
/* msg =   5363, deg = 10 */    173,    632,    731,   1392,   1669,   3373,   5528,   7469,  14271,  14272, 
/* msg =   5364, deg = 10 */     95,    660,   1064,   1355,   1725,   2080,   5808,   7032,  14272,  14273, 
/* msg =   5365, deg = 10 */    250,    716,    733,   1188,   1664,   2636,   4342,   7948,  14273,  14274, 
/* msg =   5366, deg = 10 */    286,    636,   1051,   1321,   1713,   2557,   5540,   8500,  14274,  14275, 
/* msg =   5367, deg = 10 */     22,    710,    849,   1373,   1666,   2448,   5875,   6758,  14275,  14276, 
/* msg =   5368, deg = 10 */    357,    361,   1032,   1431,   1646,   1869,   4490,   8553,  14276,  14277, 
/* msg =   5369, deg = 10 */    248,    414,    854,   1189,   1700,   2431,   5223,   6308,  14277,  14278, 
/* msg =   5370, deg = 10 */    267,    642,   1017,   1250,   1721,   2816,   3868,   6457,  14278,  14279, 
/* msg =   5371, deg = 10 */    165,    539,    760,   1279,   1651,   2502,   4967,   6424,  14279,  14280, 
/* msg =   5372, deg = 10 */     55,    678,    753,   1382,   1502,   3180,   5142,   7863,  14280,  14281, 
/* msg =   5373, deg = 10 */     68,    394,    784,   1235,   1708,   2069,   4244,   6783,  14281,  14282, 
/* msg =   5374, deg = 10 */    207,    499,   1001,   1349,   1725,   3532,   5708,   6510,  14282,  14283, 
/* msg =   5375, deg = 10 */    167,    718,    990,   1113,   1461,   3514,   3611,   8096,  14283,  14284, 
/* msg =   5376, deg = 10 */    297,    652,   1078,   1355,   1757,   2881,   3691,   7477,  14285,  14286, 
/* msg =   5377, deg = 10 */    289,    630,    856,   1251,   1737,   2814,   4110,   7853,  14286,  14287, 
/* msg =   5378, deg = 10 */     64,    538,    994,   1262,   1714,   2998,   4859,   8536,  14287,  14288, 
/* msg =   5379, deg = 10 */     47,    633,   1006,   1387,   1571,   2184,   4960,   7728,  14288,  14289, 
/* msg =   5380, deg = 10 */     31,    656,   1072,   1216,   1490,   1875,   5177,   8041,  14289,  14290, 
/* msg =   5381, deg = 10 */    175,    651,   1062,   1428,   1714,   2905,   4677,   7116,  14290,  14291, 
/* msg =   5382, deg = 10 */    241,    544,   1070,   1386,   1677,   3579,   3972,   7143,  14291,  14292, 
/* msg =   5383, deg = 10 */    174,    633,    732,   1393,   1670,   3374,   5529,   7470,  14292,  14293, 
/* msg =   5384, deg = 10 */     96,    661,   1065,   1356,   1726,   2081,   5809,   7033,  14293,  14294, 
/* msg =   5385, deg = 10 */    251,    717,    734,   1189,   1665,   2637,   4343,   7949,  14294,  14295, 
/* msg =   5386, deg = 10 */    287,    637,   1052,   1322,   1714,   2558,   5541,   8501,  14295,  14296, 
/* msg =   5387, deg = 10 */     23,    711,    850,   1374,   1667,   2449,   5876,   6759,  14296,  14297, 
/* msg =   5388, deg = 10 */    358,    362,   1033,   1432,   1647,   1870,   4491,   8554,  14297,  14298, 
/* msg =   5389, deg = 10 */    249,    415,    855,   1190,   1701,   2432,   5224,   6309,  14298,  14299, 
/* msg =   5390, deg = 10 */    268,    643,   1018,   1251,   1722,   2817,   3869,   6458,  14299,  14300, 
/* msg =   5391, deg = 10 */    166,    540,    761,   1280,   1652,   2503,   4968,   6425,  14300,  14301, 
/* msg =   5392, deg = 10 */     56,    679,    754,   1383,   1503,   3181,   5143,   7864,  14301,  14302, 
/* msg =   5393, deg = 10 */     69,    395,    785,   1236,   1709,   2070,   4245,   6784,  14302,  14303, 
/* msg =   5394, deg = 10 */    208,    500,   1002,   1350,   1726,   3533,   5709,   6511,  14303,  14304, 
/* msg =   5395, deg = 10 */    168,    719,    991,   1114,   1462,   3515,   3612,   8097,  14304,  14305, 
/* msg =   5396, deg = 10 */    298,    653,   1079,   1356,   1758,   2882,   3692,   7478,  14306,  14307, 
/* msg =   5397, deg = 10 */    290,    631,    857,   1252,   1738,   2815,   4111,   7854,  14307,  14308, 
/* msg =   5398, deg = 10 */     65,    539,    995,   1263,   1715,   2999,   4860,   8537,  14308,  14309, 
/* msg =   5399, deg = 10 */     48,    634,   1007,   1388,   1572,   2185,   4961,   7729,  14309,  14310, 
/* msg =   5400, deg = 10 */     32,    657,   1073,   1217,   1491,   1876,   5178,   8042,  14310,  14311, 
/* msg =   5401, deg = 10 */    176,    652,   1063,   1429,   1715,   2906,   4678,   7117,  14311,  14312, 
/* msg =   5402, deg = 10 */    242,    545,   1071,   1387,   1678,   3580,   3973,   7144,  14312,  14313, 
/* msg =   5403, deg = 10 */    175,    634,    733,   1394,   1671,   3375,   5530,   7471,  14313,  14314, 
/* msg =   5404, deg = 10 */     97,    662,   1066,   1357,   1727,   2082,   5810,   7034,  14314,  14315, 
/* msg =   5405, deg = 10 */    252,    718,    735,   1190,   1666,   2638,   4344,   7950,  14315,  14316, 
/* msg =   5406, deg = 10 */    288,    638,   1053,   1323,   1715,   2559,   5542,   8502,  14316,  14317, 
/* msg =   5407, deg = 10 */     24,    712,    851,   1375,   1668,   2450,   5877,   6760,  14317,  14318, 
/* msg =   5408, deg = 10 */    359,    363,   1034,   1433,   1648,   1871,   4492,   8555,  14318,  14319, 
/* msg =   5409, deg = 10 */    250,    416,    856,   1191,   1702,   2433,   5225,   6310,  14319,  14320, 
/* msg =   5410, deg = 10 */    269,    644,   1019,   1252,   1723,   2818,   3870,   6459,  14320,  14321, 
/* msg =   5411, deg = 10 */    167,    541,    762,   1281,   1653,   2504,   4969,   6426,  14321,  14322, 
/* msg =   5412, deg = 10 */     57,    680,    755,   1384,   1504,   3182,   5144,   7865,  14322,  14323, 
/* msg =   5413, deg = 10 */     70,    396,    786,   1237,   1710,   2071,   4246,   6785,  14323,  14324, 
/* msg =   5414, deg = 10 */    209,    501,   1003,   1351,   1727,   3534,   5710,   6512,  14324,  14325, 
/* msg =   5415, deg = 10 */    169,    360,    992,   1115,   1463,   3516,   3613,   8098,  14325,  14326, 
/* msg =   5416, deg = 10 */    299,    654,    720,   1357,   1759,   2883,   3693,   7479,  14327,  14328, 
/* msg =   5417, deg = 10 */    291,    632,    858,   1253,   1739,   2816,   4112,   7855,  14328,  14329, 
/* msg =   5418, deg = 10 */     66,    540,    996,   1264,   1716,   3000,   4861,   8538,  14329,  14330, 
/* msg =   5419, deg = 10 */     49,    635,   1008,   1389,   1573,   2186,   4962,   7730,  14330,  14331, 
/* msg =   5420, deg = 10 */     33,    658,   1074,   1218,   1492,   1877,   5179,   8043,  14331,  14332, 
/* msg =   5421, deg = 10 */    177,    653,   1064,   1430,   1716,   2907,   4679,   7118,  14332,  14333, 
/* msg =   5422, deg = 10 */    243,    546,   1072,   1388,   1679,   3581,   3974,   7145,  14333,  14334, 
/* msg =   5423, deg = 10 */    176,    635,    734,   1395,   1672,   3376,   5531,   7472,  14334,  14335, 
/* msg =   5424, deg = 10 */     98,    663,   1067,   1358,   1728,   2083,   5811,   7035,  14335,  14336, 
/* msg =   5425, deg = 10 */    253,    719,    736,   1191,   1667,   2639,   4345,   7951,  14336,  14337, 
/* msg =   5426, deg = 10 */    289,    639,   1054,   1324,   1716,   2560,   5543,   8503,  14337,  14338, 
/* msg =   5427, deg = 10 */     25,    713,    852,   1376,   1669,   2451,   5878,   6761,  14338,  14339, 
/* msg =   5428, deg = 10 */      0,    364,   1035,   1434,   1649,   1872,   4493,   8556,  14339,  14340, 
/* msg =   5429, deg = 10 */    251,    417,    857,   1192,   1703,   2434,   5226,   6311,  14340,  14341, 
/* msg =   5430, deg = 10 */    270,    645,   1020,   1253,   1724,   2819,   3871,   6460,  14341,  14342, 
/* msg =   5431, deg = 10 */    168,    542,    763,   1282,   1654,   2505,   4970,   6427,  14342,  14343, 
/* msg =   5432, deg = 10 */     58,    681,    756,   1385,   1505,   3183,   5145,   7866,  14343,  14344, 
/* msg =   5433, deg = 10 */     71,    397,    787,   1238,   1711,   2072,   4247,   6786,  14344,  14345, 
/* msg =   5434, deg = 10 */    210,    502,   1004,   1352,   1728,   3535,   5711,   6513,  14345,  14346, 
/* msg =   5435, deg = 10 */    170,    361,    993,   1116,   1464,   3517,   3614,   8099,  14346,  14347, 
/* msg =   5436, deg = 10 */    300,    655,    721,   1358,   1760,   2884,   3694,   7480,  14348,  14349, 
/* msg =   5437, deg = 10 */    292,    633,    859,   1254,   1740,   2817,   4113,   7856,  14349,  14350, 
/* msg =   5438, deg = 10 */     67,    541,    997,   1265,   1717,   3001,   4862,   8539,  14350,  14351, 
/* msg =   5439, deg = 10 */     50,    636,   1009,   1390,   1574,   2187,   4963,   7731,  14351,  14352, 
/* msg =   5440, deg = 10 */     34,    659,   1075,   1219,   1493,   1878,   5180,   8044,  14352,  14353, 
/* msg =   5441, deg = 10 */    178,    654,   1065,   1431,   1717,   2908,   4320,   7119,  14353,  14354, 
/* msg =   5442, deg = 10 */    244,    547,   1073,   1389,   1680,   3582,   3975,   7146,  14354,  14355, 
/* msg =   5443, deg = 10 */    177,    636,    735,   1396,   1673,   3377,   5532,   7473,  14355,  14356, 
/* msg =   5444, deg = 10 */     99,    664,   1068,   1359,   1729,   2084,   5812,   7036,  14356,  14357, 
/* msg =   5445, deg = 10 */    254,    360,    737,   1192,   1668,   2640,   4346,   7952,  14357,  14358, 
/* msg =   5446, deg = 10 */    290,    640,   1055,   1325,   1717,   2561,   5544,   8504,  14358,  14359, 
/* msg =   5447, deg = 10 */     26,    714,    853,   1377,   1670,   2452,   5879,   6762,  14359,  14360, 
/* msg =   5448, deg = 10 */      1,    365,   1036,   1435,   1650,   1873,   4494,   8557,  14360,  14361, 
/* msg =   5449, deg = 10 */    252,    418,    858,   1193,   1704,   2435,   5227,   6312,  14361,  14362, 
/* msg =   5450, deg = 10 */    271,    646,   1021,   1254,   1725,   2820,   3872,   6461,  14362,  14363, 
/* msg =   5451, deg = 10 */    169,    543,    764,   1283,   1655,   2506,   4971,   6428,  14363,  14364, 
/* msg =   5452, deg = 10 */     59,    682,    757,   1386,   1506,   3184,   5146,   7867,  14364,  14365, 
/* msg =   5453, deg = 10 */     72,    398,    788,   1239,   1712,   2073,   4248,   6787,  14365,  14366, 
/* msg =   5454, deg = 10 */    211,    503,   1005,   1353,   1729,   3536,   5712,   6514,  14366,  14367, 
/* msg =   5455, deg = 10 */    171,    362,    994,   1117,   1465,   3518,   3615,   8100,  14367,  14368, 
/* msg =   5456, deg = 10 */    301,    656,    722,   1359,   1761,   2885,   3695,   7481,  14369,  14370, 
/* msg =   5457, deg = 10 */    293,    634,    860,   1255,   1741,   2818,   4114,   7857,  14370,  14371, 
/* msg =   5458, deg = 10 */     68,    542,    998,   1266,   1718,   3002,   4863,   8540,  14371,  14372, 
/* msg =   5459, deg = 10 */     51,    637,   1010,   1391,   1575,   2188,   4964,   7732,  14372,  14373, 
/* msg =   5460, deg = 10 */     35,    660,   1076,   1220,   1494,   1879,   5181,   8045,  14373,  14374, 
/* msg =   5461, deg = 10 */    179,    655,   1066,   1432,   1718,   2909,   4321,   7120,  14374,  14375, 
/* msg =   5462, deg = 10 */    245,    548,   1074,   1390,   1681,   3583,   3976,   7147,  14375,  14376, 
/* msg =   5463, deg = 10 */    178,    637,    736,   1397,   1674,   3378,   5533,   7474,  14376,  14377, 
/* msg =   5464, deg = 10 */    100,    665,   1069,   1360,   1730,   2085,   5813,   7037,  14377,  14378, 
/* msg =   5465, deg = 10 */    255,    361,    738,   1193,   1669,   2641,   4347,   7953,  14378,  14379, 
/* msg =   5466, deg = 10 */    291,    641,   1056,   1326,   1718,   2562,   5545,   8505,  14379,  14380, 
/* msg =   5467, deg = 10 */     27,    715,    854,   1378,   1671,   2453,   5880,   6763,  14380,  14381, 
/* msg =   5468, deg = 10 */      2,    366,   1037,   1436,   1651,   1874,   4495,   8558,  14381,  14382, 
/* msg =   5469, deg = 10 */    253,    419,    859,   1194,   1705,   2436,   5228,   6313,  14382,  14383, 
/* msg =   5470, deg = 10 */    272,    647,   1022,   1255,   1726,   2821,   3873,   6462,  14383,  14384, 
/* msg =   5471, deg = 10 */    170,    544,    765,   1284,   1656,   2507,   4972,   6429,  14384,  14385, 
/* msg =   5472, deg = 10 */     60,    683,    758,   1387,   1507,   3185,   5147,   7868,  14385,  14386, 
/* msg =   5473, deg = 10 */     73,    399,    789,   1240,   1713,   2074,   4249,   6788,  14386,  14387, 
/* msg =   5474, deg = 10 */    212,    504,   1006,   1354,   1730,   3537,   5713,   6515,  14387,  14388, 
/* msg =   5475, deg = 10 */    172,    363,    995,   1118,   1466,   3519,   3616,   8101,  14388,  14389, 
/* msg =   5476, deg = 10 */    302,    657,    723,   1360,   1762,   2886,   3696,   7482,  14390,  14391, 
/* msg =   5477, deg = 10 */    294,    635,    861,   1256,   1742,   2819,   4115,   7858,  14391,  14392, 
/* msg =   5478, deg = 10 */     69,    543,    999,   1267,   1719,   3003,   4864,   8541,  14392,  14393, 
/* msg =   5479, deg = 10 */     52,    638,   1011,   1392,   1576,   2189,   4965,   7733,  14393,  14394, 
/* msg =   5480, deg = 10 */     36,    661,   1077,   1221,   1495,   1880,   5182,   8046,  14394,  14395, 
/* msg =   5481, deg = 10 */    180,    656,   1067,   1433,   1719,   2910,   4322,   7121,  14395,  14396, 
/* msg =   5482, deg = 10 */    246,    549,   1075,   1391,   1682,   3584,   3977,   7148,  14396,  14397, 
/* msg =   5483, deg = 10 */    179,    638,    737,   1398,   1675,   3379,   5534,   7475,  14397,  14398, 
/* msg =   5484, deg = 10 */    101,    666,   1070,   1361,   1731,   2086,   5814,   7038,  14398,  14399, 
/* msg =   5485, deg = 10 */    256,    362,    739,   1194,   1670,   2642,   4348,   7954,  14399,  14400, 
/* msg =   5486, deg = 10 */    292,    642,   1057,   1327,   1719,   2563,   5546,   8506,  14400,  14401, 
/* msg =   5487, deg = 10 */     28,    716,    855,   1379,   1672,   2454,   5881,   6764,  14401,  14402, 
/* msg =   5488, deg = 10 */      3,    367,   1038,   1437,   1652,   1875,   4496,   8559,  14402,  14403, 
/* msg =   5489, deg = 10 */    254,    420,    860,   1195,   1706,   2437,   5229,   6314,  14403,  14404, 
/* msg =   5490, deg = 10 */    273,    648,   1023,   1256,   1727,   2822,   3874,   6463,  14404,  14405, 
/* msg =   5491, deg = 10 */    171,    545,    766,   1285,   1657,   2508,   4973,   6430,  14405,  14406, 
/* msg =   5492, deg = 10 */     61,    684,    759,   1388,   1508,   3186,   5148,   7869,  14406,  14407, 
/* msg =   5493, deg = 10 */     74,    400,    790,   1241,   1714,   2075,   4250,   6789,  14407,  14408, 
/* msg =   5494, deg = 10 */    213,    505,   1007,   1355,   1731,   3538,   5714,   6516,  14408,  14409, 
/* msg =   5495, deg = 10 */    173,    364,    996,   1119,   1467,   3520,   3617,   8102,  14409,  14410, 
/* msg =   5496, deg = 10 */    303,    658,    724,   1361,   1763,   2887,   3697,   7483,  14411,  14412, 
/* msg =   5497, deg = 10 */    295,    636,    862,   1257,   1743,   2820,   4116,   7859,  14412,  14413, 
/* msg =   5498, deg = 10 */     70,    544,   1000,   1268,   1720,   3004,   4865,   8542,  14413,  14414, 
/* msg =   5499, deg = 10 */     53,    639,   1012,   1393,   1577,   2190,   4966,   7734,  14414,  14415, 
/* msg =   5500, deg = 10 */     37,    662,   1078,   1222,   1496,   1881,   5183,   8047,  14415,  14416, 
/* msg =   5501, deg = 10 */    181,    657,   1068,   1434,   1720,   2911,   4323,   7122,  14416,  14417, 
/* msg =   5502, deg = 10 */    247,    550,   1076,   1392,   1683,   3585,   3978,   7149,  14417,  14418, 
/* msg =   5503, deg = 10 */    180,    639,    738,   1399,   1676,   3380,   5535,   7476,  14418,  14419, 
/* msg =   5504, deg = 10 */    102,    667,   1071,   1362,   1732,   2087,   5815,   7039,  14419,  14420, 
/* msg =   5505, deg = 10 */    257,    363,    740,   1195,   1671,   2643,   4349,   7955,  14420,  14421, 
/* msg =   5506, deg = 10 */    293,    643,   1058,   1328,   1720,   2564,   5547,   8507,  14421,  14422, 
/* msg =   5507, deg = 10 */     29,    717,    856,   1380,   1673,   2455,   5882,   6765,  14422,  14423, 
/* msg =   5508, deg = 10 */      4,    368,   1039,   1438,   1653,   1876,   4497,   8560,  14423,  14424, 
/* msg =   5509, deg = 10 */    255,    421,    861,   1196,   1707,   2438,   5230,   6315,  14424,  14425, 
/* msg =   5510, deg = 10 */    274,    649,   1024,   1257,   1728,   2823,   3875,   6464,  14425,  14426, 
/* msg =   5511, deg = 10 */    172,    546,    767,   1286,   1658,   2509,   4974,   6431,  14426,  14427, 
/* msg =   5512, deg = 10 */     62,    685,    760,   1389,   1509,   3187,   5149,   7870,  14427,  14428, 
/* msg =   5513, deg = 10 */     75,    401,    791,   1242,   1715,   2076,   4251,   6790,  14428,  14429, 
/* msg =   5514, deg = 10 */    214,    506,   1008,   1356,   1732,   3539,   5715,   6517,  14429,  14430, 
/* msg =   5515, deg = 10 */    174,    365,    997,   1120,   1468,   3521,   3618,   8103,  14430,  14431, 
/* msg =   5516, deg = 10 */    304,    659,    725,   1362,   1764,   2888,   3698,   7484,  14432,  14433, 
/* msg =   5517, deg = 10 */    296,    637,    863,   1258,   1744,   2821,   4117,   7860,  14433,  14434, 
/* msg =   5518, deg = 10 */     71,    545,   1001,   1269,   1721,   3005,   4866,   8543,  14434,  14435, 
/* msg =   5519, deg = 10 */     54,    640,   1013,   1394,   1578,   2191,   4967,   7735,  14435,  14436, 
/* msg =   5520, deg = 10 */     38,    663,   1079,   1223,   1497,   1882,   5184,   8048,  14436,  14437, 
/* msg =   5521, deg = 10 */    182,    658,   1069,   1435,   1721,   2912,   4324,   7123,  14437,  14438, 
/* msg =   5522, deg = 10 */    248,    551,   1077,   1393,   1684,   3586,   3979,   7150,  14438,  14439, 
/* msg =   5523, deg = 10 */    181,    640,    739,   1400,   1677,   3381,   5536,   7477,  14439,  14440, 
/* msg =   5524, deg = 10 */    103,    668,   1072,   1363,   1733,   2088,   5816,   7040,  14440,  14441, 
/* msg =   5525, deg = 10 */    258,    364,    741,   1196,   1672,   2644,   4350,   7956,  14441,  14442, 
/* msg =   5526, deg = 10 */    294,    644,   1059,   1329,   1721,   2565,   5548,   8508,  14442,  14443, 
/* msg =   5527, deg = 10 */     30,    718,    857,   1381,   1674,   2456,   5883,   6766,  14443,  14444, 
/* msg =   5528, deg = 10 */      5,    369,   1040,   1439,   1654,   1877,   4498,   8561,  14444,  14445, 
/* msg =   5529, deg = 10 */    256,    422,    862,   1197,   1708,   2439,   5231,   6316,  14445,  14446, 
/* msg =   5530, deg = 10 */    275,    650,   1025,   1258,   1729,   2824,   3876,   6465,  14446,  14447, 
/* msg =   5531, deg = 10 */    173,    547,    768,   1287,   1659,   2510,   4975,   6432,  14447,  14448, 
/* msg =   5532, deg = 10 */     63,    686,    761,   1390,   1510,   3188,   5150,   7871,  14448,  14449, 
/* msg =   5533, deg = 10 */     76,    402,    792,   1243,   1716,   2077,   4252,   6791,  14449,  14450, 
/* msg =   5534, deg = 10 */    215,    507,   1009,   1357,   1733,   3540,   5716,   6518,  14450,  14451, 
/* msg =   5535, deg = 10 */    175,    366,    998,   1121,   1469,   3522,   3619,   8104,  14451,  14452, 
/* msg =   5536, deg = 10 */    305,    660,    726,   1363,   1765,   2889,   3699,   7485,  14453,  14454, 
/* msg =   5537, deg = 10 */    297,    638,    864,   1259,   1745,   2822,   4118,   7861,  14454,  14455, 
/* msg =   5538, deg = 10 */     72,    546,   1002,   1270,   1722,   3006,   4867,   8544,  14455,  14456, 
/* msg =   5539, deg = 10 */     55,    641,   1014,   1395,   1579,   2192,   4968,   7736,  14456,  14457, 
/* msg =   5540, deg = 10 */     39,    664,    720,   1224,   1498,   1883,   5185,   8049,  14457,  14458, 
/* msg =   5541, deg = 10 */    183,    659,   1070,   1436,   1722,   2913,   4325,   7124,  14458,  14459, 
/* msg =   5542, deg = 10 */    249,    552,   1078,   1394,   1685,   3587,   3980,   7151,  14459,  14460, 
/* msg =   5543, deg = 10 */    182,    641,    740,   1401,   1678,   3382,   5537,   7478,  14460,  14461, 
/* msg =   5544, deg = 10 */    104,    669,   1073,   1364,   1734,   2089,   5817,   7041,  14461,  14462, 
/* msg =   5545, deg = 10 */    259,    365,    742,   1197,   1673,   2645,   4351,   7957,  14462,  14463, 
/* msg =   5546, deg = 10 */    295,    645,   1060,   1330,   1722,   2566,   5549,   8509,  14463,  14464, 
/* msg =   5547, deg = 10 */     31,    719,    858,   1382,   1675,   2457,   5884,   6767,  14464,  14465, 
/* msg =   5548, deg = 10 */      6,    370,   1041,   1080,   1655,   1878,   4499,   8562,  14465,  14466, 
/* msg =   5549, deg = 10 */    257,    423,    863,   1198,   1709,   2440,   5232,   6317,  14466,  14467, 
/* msg =   5550, deg = 10 */    276,    651,   1026,   1259,   1730,   2825,   3877,   6466,  14467,  14468, 
/* msg =   5551, deg = 10 */    174,    548,    769,   1288,   1660,   2511,   4976,   6433,  14468,  14469, 
/* msg =   5552, deg = 10 */     64,    687,    762,   1391,   1511,   3189,   5151,   7872,  14469,  14470, 
/* msg =   5553, deg = 10 */     77,    403,    793,   1244,   1717,   2078,   4253,   6792,  14470,  14471, 
/* msg =   5554, deg = 10 */    216,    508,   1010,   1358,   1734,   3541,   5717,   6519,  14471,  14472, 
/* msg =   5555, deg = 10 */    176,    367,    999,   1122,   1470,   3523,   3620,   8105,  14472,  14473, 
/* msg =   5556, deg = 10 */    306,    661,    727,   1364,   1766,   2890,   3700,   7486,  14474,  14475, 
/* msg =   5557, deg = 10 */    298,    639,    865,   1260,   1746,   2823,   4119,   7862,  14475,  14476, 
/* msg =   5558, deg = 10 */     73,    547,   1003,   1271,   1723,   3007,   4868,   8545,  14476,  14477, 
/* msg =   5559, deg = 10 */     56,    642,   1015,   1396,   1580,   2193,   4969,   7737,  14477,  14478, 
/* msg =   5560, deg = 10 */     40,    665,    721,   1225,   1499,   1884,   5186,   8050,  14478,  14479, 
/* msg =   5561, deg = 10 */    184,    660,   1071,   1437,   1723,   2914,   4326,   7125,  14479,  14480, 
/* msg =   5562, deg = 10 */    250,    553,   1079,   1395,   1686,   3588,   3981,   7152,  14480,  14481, 
/* msg =   5563, deg = 10 */    183,    642,    741,   1402,   1679,   3383,   5538,   7479,  14481,  14482, 
/* msg =   5564, deg = 10 */    105,    670,   1074,   1365,   1735,   2090,   5818,   7042,  14482,  14483, 
/* msg =   5565, deg = 10 */    260,    366,    743,   1198,   1674,   2646,   4352,   7958,  14483,  14484, 
/* msg =   5566, deg = 10 */    296,    646,   1061,   1331,   1723,   2567,   5550,   8510,  14484,  14485, 
/* msg =   5567, deg = 10 */     32,    360,    859,   1383,   1676,   2458,   5885,   6768,  14485,  14486, 
/* msg =   5568, deg = 10 */      7,    371,   1042,   1081,   1656,   1879,   4500,   8563,  14486,  14487, 
/* msg =   5569, deg = 10 */    258,    424,    864,   1199,   1710,   2441,   5233,   6318,  14487,  14488, 
/* msg =   5570, deg = 10 */    277,    652,   1027,   1260,   1731,   2826,   3878,   6467,  14488,  14489, 
/* msg =   5571, deg = 10 */    175,    549,    770,   1289,   1661,   2512,   4977,   6434,  14489,  14490, 
/* msg =   5572, deg = 10 */     65,    688,    763,   1392,   1512,   3190,   5152,   7873,  14490,  14491, 
/* msg =   5573, deg = 10 */     78,    404,    794,   1245,   1718,   2079,   4254,   6793,  14491,  14492, 
/* msg =   5574, deg = 10 */    217,    509,   1011,   1359,   1735,   3542,   5718,   6520,  14492,  14493, 
/* msg =   5575, deg = 10 */    177,    368,   1000,   1123,   1471,   3524,   3621,   8106,  14493,  14494, 
/* msg =   5576, deg = 10 */    307,    662,    728,   1365,   1767,   2891,   3701,   7487,  14495,  14496, 
/* msg =   5577, deg = 10 */    299,    640,    866,   1261,   1747,   2824,   4120,   7863,  14496,  14497, 
/* msg =   5578, deg = 10 */     74,    548,   1004,   1272,   1724,   3008,   4869,   8546,  14497,  14498, 
/* msg =   5579, deg = 10 */     57,    643,   1016,   1397,   1581,   2194,   4970,   7738,  14498,  14499, 
/* msg =   5580, deg = 10 */     41,    666,    722,   1226,   1500,   1885,   5187,   8051,  14499,  14500, 
/* msg =   5581, deg = 10 */    185,    661,   1072,   1438,   1724,   2915,   4327,   7126,  14500,  14501, 
/* msg =   5582, deg = 10 */    251,    554,    720,   1396,   1687,   3589,   3982,   7153,  14501,  14502, 
/* msg =   5583, deg = 10 */    184,    643,    742,   1403,   1680,   3384,   5539,   7480,  14502,  14503, 
/* msg =   5584, deg = 10 */    106,    671,   1075,   1366,   1736,   2091,   5819,   7043,  14503,  14504, 
/* msg =   5585, deg = 10 */    261,    367,    744,   1199,   1675,   2647,   4353,   7959,  14504,  14505, 
/* msg =   5586, deg = 10 */    297,    647,   1062,   1332,   1724,   2568,   5551,   8511,  14505,  14506, 
/* msg =   5587, deg = 10 */     33,    361,    860,   1384,   1677,   2459,   5886,   6769,  14506,  14507, 
/* msg =   5588, deg = 10 */      8,    372,   1043,   1082,   1657,   1880,   4501,   8564,  14507,  14508, 
/* msg =   5589, deg = 10 */    259,    425,    865,   1200,   1711,   2442,   5234,   6319,  14508,  14509, 
/* msg =   5590, deg = 10 */    278,    653,   1028,   1261,   1732,   2827,   3879,   6468,  14509,  14510, 
/* msg =   5591, deg = 10 */    176,    550,    771,   1290,   1662,   2513,   4978,   6435,  14510,  14511, 
/* msg =   5592, deg = 10 */     66,    689,    764,   1393,   1513,   3191,   5153,   7874,  14511,  14512, 
/* msg =   5593, deg = 10 */     79,    405,    795,   1246,   1719,   2080,   4255,   6794,  14512,  14513, 
/* msg =   5594, deg = 10 */    218,    510,   1012,   1360,   1736,   3543,   5719,   6521,  14513,  14514, 
/* msg =   5595, deg = 10 */    178,    369,   1001,   1124,   1472,   3525,   3622,   8107,  14514,  14515, 
/* msg =   5596, deg = 10 */    308,    663,    729,   1366,   1768,   2892,   3702,   7488,  14516,  14517, 
/* msg =   5597, deg = 10 */    300,    641,    867,   1262,   1748,   2825,   4121,   7864,  14517,  14518, 
/* msg =   5598, deg = 10 */     75,    549,   1005,   1273,   1725,   3009,   4870,   8547,  14518,  14519, 
/* msg =   5599, deg = 10 */     58,    644,   1017,   1398,   1582,   2195,   4971,   7739,  14519,  14520, 
/* msg =   5600, deg = 10 */     42,    667,    723,   1227,   1501,   1886,   5188,   8052,  14520,  14521, 
/* msg =   5601, deg = 10 */    186,    662,   1073,   1439,   1725,   2916,   4328,   7127,  14521,  14522, 
/* msg =   5602, deg = 10 */    252,    555,    721,   1397,   1688,   3590,   3983,   7154,  14522,  14523, 
/* msg =   5603, deg = 10 */    185,    644,    743,   1404,   1681,   3385,   5540,   7481,  14523,  14524, 
/* msg =   5604, deg = 10 */    107,    672,   1076,   1367,   1737,   2092,   5820,   7044,  14524,  14525, 
/* msg =   5605, deg = 10 */    262,    368,    745,   1200,   1676,   2648,   4354,   7960,  14525,  14526, 
/* msg =   5606, deg = 10 */    298,    648,   1063,   1333,   1725,   2569,   5552,   8512,  14526,  14527, 
/* msg =   5607, deg = 10 */     34,    362,    861,   1385,   1678,   2460,   5887,   6770,  14527,  14528, 
/* msg =   5608, deg = 10 */      9,    373,   1044,   1083,   1658,   1881,   4502,   8565,  14528,  14529, 
/* msg =   5609, deg = 10 */    260,    426,    866,   1201,   1712,   2443,   5235,   6320,  14529,  14530, 
/* msg =   5610, deg = 10 */    279,    654,   1029,   1262,   1733,   2828,   3880,   6469,  14530,  14531, 
/* msg =   5611, deg = 10 */    177,    551,    772,   1291,   1663,   2514,   4979,   6436,  14531,  14532, 
/* msg =   5612, deg = 10 */     67,    690,    765,   1394,   1514,   3192,   5154,   7875,  14532,  14533, 
/* msg =   5613, deg = 10 */     80,    406,    796,   1247,   1720,   2081,   4256,   6795,  14533,  14534, 
/* msg =   5614, deg = 10 */    219,    511,   1013,   1361,   1737,   3544,   5720,   6522,  14534,  14535, 
/* msg =   5615, deg = 10 */    179,    370,   1002,   1125,   1473,   3526,   3623,   8108,  14535,  14536, 
/* msg =   5616, deg = 10 */    309,    664,    730,   1367,   1769,   2893,   3703,   7489,  14537,  14538, 
/* msg =   5617, deg = 10 */    301,    642,    868,   1263,   1749,   2826,   4122,   7865,  14538,  14539, 
/* msg =   5618, deg = 10 */     76,    550,   1006,   1274,   1726,   3010,   4871,   8548,  14539,  14540, 
/* msg =   5619, deg = 10 */     59,    645,   1018,   1399,   1583,   2196,   4972,   7740,  14540,  14541, 
/* msg =   5620, deg = 10 */     43,    668,    724,   1228,   1502,   1887,   5189,   8053,  14541,  14542, 
/* msg =   5621, deg = 10 */    187,    663,   1074,   1080,   1726,   2917,   4329,   7128,  14542,  14543, 
/* msg =   5622, deg = 10 */    253,    556,    722,   1398,   1689,   3591,   3984,   7155,  14543,  14544, 
/* msg =   5623, deg = 10 */    186,    645,    744,   1405,   1682,   3386,   5541,   7482,  14544,  14545, 
/* msg =   5624, deg = 10 */    108,    673,   1077,   1368,   1738,   2093,   5821,   7045,  14545,  14546, 
/* msg =   5625, deg = 10 */    263,    369,    746,   1201,   1677,   2649,   4355,   7961,  14546,  14547, 
/* msg =   5626, deg = 10 */    299,    649,   1064,   1334,   1726,   2570,   5553,   8513,  14547,  14548, 
/* msg =   5627, deg = 10 */     35,    363,    862,   1386,   1679,   2461,   5888,   6771,  14548,  14549, 
/* msg =   5628, deg = 10 */     10,    374,   1045,   1084,   1659,   1882,   4503,   8566,  14549,  14550, 
/* msg =   5629, deg = 10 */    261,    427,    867,   1202,   1713,   2444,   5236,   6321,  14550,  14551, 
/* msg =   5630, deg = 10 */    280,    655,   1030,   1263,   1734,   2829,   3881,   6470,  14551,  14552, 
/* msg =   5631, deg = 10 */    178,    552,    773,   1292,   1664,   2515,   4980,   6437,  14552,  14553, 
/* msg =   5632, deg = 10 */     68,    691,    766,   1395,   1515,   3193,   5155,   7876,  14553,  14554, 
/* msg =   5633, deg = 10 */     81,    407,    797,   1248,   1721,   2082,   4257,   6796,  14554,  14555, 
/* msg =   5634, deg = 10 */    220,    512,   1014,   1362,   1738,   3545,   5721,   6523,  14555,  14556, 
/* msg =   5635, deg = 10 */    180,    371,   1003,   1126,   1474,   3527,   3624,   8109,  14556,  14557, 
/* msg =   5636, deg = 10 */    310,    665,    731,   1368,   1770,   2894,   3704,   7490,  14558,  14559, 
/* msg =   5637, deg = 10 */    302,    643,    869,   1264,   1750,   2827,   4123,   7866,  14559,  14560, 
/* msg =   5638, deg = 10 */     77,    551,   1007,   1275,   1727,   3011,   4872,   8549,  14560,  14561, 
/* msg =   5639, deg = 10 */     60,    646,   1019,   1400,   1584,   2197,   4973,   7741,  14561,  14562, 
/* msg =   5640, deg = 10 */     44,    669,    725,   1229,   1503,   1888,   5190,   8054,  14562,  14563, 
/* msg =   5641, deg = 10 */    188,    664,   1075,   1081,   1727,   2918,   4330,   7129,  14563,  14564, 
/* msg =   5642, deg = 10 */    254,    557,    723,   1399,   1690,   3592,   3985,   7156,  14564,  14565, 
/* msg =   5643, deg = 10 */    187,    646,    745,   1406,   1683,   3387,   5542,   7483,  14565,  14566, 
/* msg =   5644, deg = 10 */    109,    674,   1078,   1369,   1739,   2094,   5822,   7046,  14566,  14567, 
/* msg =   5645, deg = 10 */    264,    370,    747,   1202,   1678,   2650,   4356,   7962,  14567,  14568, 
/* msg =   5646, deg = 10 */    300,    650,   1065,   1335,   1727,   2571,   5554,   8514,  14568,  14569, 
/* msg =   5647, deg = 10 */     36,    364,    863,   1387,   1680,   2462,   5889,   6772,  14569,  14570, 
/* msg =   5648, deg = 10 */     11,    375,   1046,   1085,   1660,   1883,   4504,   8567,  14570,  14571, 
/* msg =   5649, deg = 10 */    262,    428,    868,   1203,   1714,   2445,   5237,   6322,  14571,  14572, 
/* msg =   5650, deg = 10 */    281,    656,   1031,   1264,   1735,   2830,   3882,   6471,  14572,  14573, 
/* msg =   5651, deg = 10 */    179,    553,    774,   1293,   1665,   2516,   4981,   6438,  14573,  14574, 
/* msg =   5652, deg = 10 */     69,    692,    767,   1396,   1516,   3194,   5156,   7877,  14574,  14575, 
/* msg =   5653, deg = 10 */     82,    408,    798,   1249,   1722,   2083,   4258,   6797,  14575,  14576, 
/* msg =   5654, deg = 10 */    221,    513,   1015,   1363,   1739,   3546,   5722,   6524,  14576,  14577, 
/* msg =   5655, deg = 10 */    181,    372,   1004,   1127,   1475,   3528,   3625,   8110,  14577,  14578, 
/* msg =   5656, deg = 10 */    311,    666,    732,   1369,   1771,   2895,   3705,   7491,  14579,  14580, 
/* msg =   5657, deg = 10 */    303,    644,    870,   1265,   1751,   2828,   4124,   7867,  14580,  14581, 
/* msg =   5658, deg = 10 */     78,    552,   1008,   1276,   1728,   3012,   4873,   8550,  14581,  14582, 
/* msg =   5659, deg = 10 */     61,    647,   1020,   1401,   1585,   2198,   4974,   7742,  14582,  14583, 
/* msg =   5660, deg = 10 */     45,    670,    726,   1230,   1504,   1889,   5191,   8055,  14583,  14584, 
/* msg =   5661, deg = 10 */    189,    665,   1076,   1082,   1728,   2919,   4331,   7130,  14584,  14585, 
/* msg =   5662, deg = 10 */    255,    558,    724,   1400,   1691,   3593,   3986,   7157,  14585,  14586, 
/* msg =   5663, deg = 10 */    188,    647,    746,   1407,   1684,   3388,   5543,   7484,  14586,  14587, 
/* msg =   5664, deg = 10 */    110,    675,   1079,   1370,   1740,   2095,   5823,   7047,  14587,  14588, 
/* msg =   5665, deg = 10 */    265,    371,    748,   1203,   1679,   2651,   4357,   7963,  14588,  14589, 
/* msg =   5666, deg = 10 */    301,    651,   1066,   1336,   1728,   2572,   5555,   8515,  14589,  14590, 
/* msg =   5667, deg = 10 */     37,    365,    864,   1388,   1681,   2463,   5890,   6773,  14590,  14591, 
/* msg =   5668, deg = 10 */     12,    376,   1047,   1086,   1661,   1884,   4505,   8568,  14591,  14592, 
/* msg =   5669, deg = 10 */    263,    429,    869,   1204,   1715,   2446,   5238,   6323,  14592,  14593, 
/* msg =   5670, deg = 10 */    282,    657,   1032,   1265,   1736,   2831,   3883,   6472,  14593,  14594, 
/* msg =   5671, deg = 10 */    180,    554,    775,   1294,   1666,   2517,   4982,   6439,  14594,  14595, 
/* msg =   5672, deg = 10 */     70,    693,    768,   1397,   1517,   3195,   5157,   7878,  14595,  14596, 
/* msg =   5673, deg = 10 */     83,    409,    799,   1250,   1723,   2084,   4259,   6798,  14596,  14597, 
/* msg =   5674, deg = 10 */    222,    514,   1016,   1364,   1740,   3547,   5723,   6525,  14597,  14598, 
/* msg =   5675, deg = 10 */    182,    373,   1005,   1128,   1476,   3529,   3626,   8111,  14598,  14599, 
/* msg =   5676, deg = 10 */    312,    667,    733,   1370,   1772,   2896,   3706,   7492,  14600,  14601, 
/* msg =   5677, deg = 10 */    304,    645,    871,   1266,   1752,   2829,   4125,   7868,  14601,  14602, 
/* msg =   5678, deg = 10 */     79,    553,   1009,   1277,   1729,   3013,   4874,   8551,  14602,  14603, 
/* msg =   5679, deg = 10 */     62,    648,   1021,   1402,   1586,   2199,   4975,   7743,  14603,  14604, 
/* msg =   5680, deg = 10 */     46,    671,    727,   1231,   1505,   1890,   5192,   8056,  14604,  14605, 
/* msg =   5681, deg = 10 */    190,    666,   1077,   1083,   1729,   2920,   4332,   7131,  14605,  14606, 
/* msg =   5682, deg = 10 */    256,    559,    725,   1401,   1692,   3594,   3987,   7158,  14606,  14607, 
/* msg =   5683, deg = 10 */    189,    648,    747,   1408,   1685,   3389,   5544,   7485,  14607,  14608, 
/* msg =   5684, deg = 10 */    111,    676,    720,   1371,   1741,   2096,   5824,   7048,  14608,  14609, 
/* msg =   5685, deg = 10 */    266,    372,    749,   1204,   1680,   2652,   4358,   7964,  14609,  14610, 
/* msg =   5686, deg = 10 */    302,    652,   1067,   1337,   1729,   2573,   5556,   8516,  14610,  14611, 
/* msg =   5687, deg = 10 */     38,    366,    865,   1389,   1682,   2464,   5891,   6774,  14611,  14612, 
/* msg =   5688, deg = 10 */     13,    377,   1048,   1087,   1662,   1885,   4506,   8569,  14612,  14613, 
/* msg =   5689, deg = 10 */    264,    430,    870,   1205,   1716,   2447,   5239,   6324,  14613,  14614, 
/* msg =   5690, deg = 10 */    283,    658,   1033,   1266,   1737,   2832,   3884,   6473,  14614,  14615, 
/* msg =   5691, deg = 10 */    181,    555,    776,   1295,   1667,   2518,   4983,   6440,  14615,  14616, 
/* msg =   5692, deg = 10 */     71,    694,    769,   1398,   1518,   3196,   5158,   7879,  14616,  14617, 
/* msg =   5693, deg = 10 */     84,    410,    800,   1251,   1724,   2085,   4260,   6799,  14617,  14618, 
/* msg =   5694, deg = 10 */    223,    515,   1017,   1365,   1741,   3548,   5724,   6526,  14618,  14619, 
/* msg =   5695, deg = 10 */    183,    374,   1006,   1129,   1477,   3530,   3627,   8112,  14619,  14620, 
/* msg =   5696, deg = 10 */    313,    668,    734,   1371,   1773,   2897,   3707,   7493,  14621,  14622, 
/* msg =   5697, deg = 10 */    305,    646,    872,   1267,   1753,   2830,   4126,   7869,  14622,  14623, 
/* msg =   5698, deg = 10 */     80,    554,   1010,   1278,   1730,   3014,   4875,   8552,  14623,  14624, 
/* msg =   5699, deg = 10 */     63,    649,   1022,   1403,   1587,   2200,   4976,   7744,  14624,  14625, 
/* msg =   5700, deg = 10 */     47,    672,    728,   1232,   1506,   1891,   5193,   8057,  14625,  14626, 
/* msg =   5701, deg = 10 */    191,    667,   1078,   1084,   1730,   2921,   4333,   7132,  14626,  14627, 
/* msg =   5702, deg = 10 */    257,    560,    726,   1402,   1693,   3595,   3988,   7159,  14627,  14628, 
/* msg =   5703, deg = 10 */    190,    649,    748,   1409,   1686,   3390,   5545,   7486,  14628,  14629, 
/* msg =   5704, deg = 10 */    112,    677,    721,   1372,   1742,   2097,   5825,   7049,  14629,  14630, 
/* msg =   5705, deg = 10 */    267,    373,    750,   1205,   1681,   2653,   4359,   7965,  14630,  14631, 
/* msg =   5706, deg = 10 */    303,    653,   1068,   1338,   1730,   2574,   5557,   8517,  14631,  14632, 
/* msg =   5707, deg = 10 */     39,    367,    866,   1390,   1683,   2465,   5892,   6775,  14632,  14633, 
/* msg =   5708, deg = 10 */     14,    378,   1049,   1088,   1663,   1886,   4507,   8570,  14633,  14634, 
/* msg =   5709, deg = 10 */    265,    431,    871,   1206,   1717,   2448,   5240,   6325,  14634,  14635, 
/* msg =   5710, deg = 10 */    284,    659,   1034,   1267,   1738,   2833,   3885,   6474,  14635,  14636, 
/* msg =   5711, deg = 10 */    182,    556,    777,   1296,   1668,   2519,   4984,   6441,  14636,  14637, 
/* msg =   5712, deg = 10 */     72,    695,    770,   1399,   1519,   3197,   5159,   7880,  14637,  14638, 
/* msg =   5713, deg = 10 */     85,    411,    801,   1252,   1725,   2086,   4261,   6800,  14638,  14639, 
/* msg =   5714, deg = 10 */    224,    516,   1018,   1366,   1742,   3549,   5725,   6527,  14639,  14640, 
/* msg =   5715, deg = 10 */    184,    375,   1007,   1130,   1478,   3531,   3628,   8113,  14640,  14641, 
/* msg =   5716, deg = 10 */    314,    669,    735,   1372,   1774,   2898,   3708,   7494,  14642,  14643, 
/* msg =   5717, deg = 10 */    306,    647,    873,   1268,   1754,   2831,   4127,   7870,  14643,  14644, 
/* msg =   5718, deg = 10 */     81,    555,   1011,   1279,   1731,   3015,   4876,   8553,  14644,  14645, 
/* msg =   5719, deg = 10 */     64,    650,   1023,   1404,   1588,   2201,   4977,   7745,  14645,  14646, 
/* msg =   5720, deg = 10 */     48,    673,    729,   1233,   1507,   1892,   5194,   8058,  14646,  14647, 
/* msg =   5721, deg = 10 */    192,    668,   1079,   1085,   1731,   2922,   4334,   7133,  14647,  14648, 
/* msg =   5722, deg = 10 */    258,    561,    727,   1403,   1694,   3596,   3989,   7160,  14648,  14649, 
/* msg =   5723, deg = 10 */    191,    650,    749,   1410,   1687,   3391,   5546,   7487,  14649,  14650, 
/* msg =   5724, deg = 10 */    113,    678,    722,   1373,   1743,   2098,   5826,   7050,  14650,  14651, 
/* msg =   5725, deg = 10 */    268,    374,    751,   1206,   1682,   2654,   4360,   7966,  14651,  14652, 
/* msg =   5726, deg = 10 */    304,    654,   1069,   1339,   1731,   2575,   5558,   8518,  14652,  14653, 
/* msg =   5727, deg = 10 */     40,    368,    867,   1391,   1684,   2466,   5893,   6776,  14653,  14654, 
/* msg =   5728, deg = 10 */     15,    379,   1050,   1089,   1664,   1887,   4508,   8571,  14654,  14655, 
/* msg =   5729, deg = 10 */    266,    432,    872,   1207,   1718,   2449,   5241,   6326,  14655,  14656, 
/* msg =   5730, deg = 10 */    285,    660,   1035,   1268,   1739,   2834,   3886,   6475,  14656,  14657, 
/* msg =   5731, deg = 10 */    183,    557,    778,   1297,   1669,   2160,   4985,   6442,  14657,  14658, 
/* msg =   5732, deg = 10 */     73,    696,    771,   1400,   1520,   3198,   5160,   7881,  14658,  14659, 
/* msg =   5733, deg = 10 */     86,    412,    802,   1253,   1726,   2087,   4262,   6801,  14659,  14660, 
/* msg =   5734, deg = 10 */    225,    517,   1019,   1367,   1743,   3550,   5726,   6528,  14660,  14661, 
/* msg =   5735, deg = 10 */    185,    376,   1008,   1131,   1479,   3532,   3629,   8114,  14661,  14662, 
/* msg =   5736, deg = 10 */    315,    670,    736,   1373,   1775,   2899,   3709,   7495,  14663,  14664, 
/* msg =   5737, deg = 10 */    307,    648,    874,   1269,   1755,   2832,   4128,   7871,  14664,  14665, 
/* msg =   5738, deg = 10 */     82,    556,   1012,   1280,   1732,   3016,   4877,   8554,  14665,  14666, 
/* msg =   5739, deg = 10 */     65,    651,   1024,   1405,   1589,   2202,   4978,   7746,  14666,  14667, 
/* msg =   5740, deg = 10 */     49,    674,    730,   1234,   1508,   1893,   5195,   8059,  14667,  14668, 
/* msg =   5741, deg = 10 */    193,    669,    720,   1086,   1732,   2923,   4335,   7134,  14668,  14669, 
/* msg =   5742, deg = 10 */    259,    562,    728,   1404,   1695,   3597,   3990,   7161,  14669,  14670, 
/* msg =   5743, deg = 10 */    192,    651,    750,   1411,   1688,   3392,   5547,   7488,  14670,  14671, 
/* msg =   5744, deg = 10 */    114,    679,    723,   1374,   1744,   2099,   5827,   7051,  14671,  14672, 
/* msg =   5745, deg = 10 */    269,    375,    752,   1207,   1683,   2655,   4361,   7967,  14672,  14673, 
/* msg =   5746, deg = 10 */    305,    655,   1070,   1340,   1732,   2576,   5559,   8519,  14673,  14674, 
/* msg =   5747, deg = 10 */     41,    369,    868,   1392,   1685,   2467,   5894,   6777,  14674,  14675, 
/* msg =   5748, deg = 10 */     16,    380,   1051,   1090,   1665,   1888,   4509,   8572,  14675,  14676, 
/* msg =   5749, deg = 10 */    267,    433,    873,   1208,   1719,   2450,   5242,   6327,  14676,  14677, 
/* msg =   5750, deg = 10 */    286,    661,   1036,   1269,   1740,   2835,   3887,   6476,  14677,  14678, 
/* msg =   5751, deg = 10 */    184,    558,    779,   1298,   1670,   2161,   4986,   6443,  14678,  14679, 
/* msg =   5752, deg = 10 */     74,    697,    772,   1401,   1521,   3199,   5161,   7882,  14679,  14680, 
/* msg =   5753, deg = 10 */     87,    413,    803,   1254,   1727,   2088,   4263,   6802,  14680,  14681, 
/* msg =   5754, deg = 10 */    226,    518,   1020,   1368,   1744,   3551,   5727,   6529,  14681,  14682, 
/* msg =   5755, deg = 10 */    186,    377,   1009,   1132,   1480,   3533,   3630,   8115,  14682,  14683, 
/* msg =   5756, deg = 10 */    316,    671,    737,   1374,   1776,   2900,   3710,   7496,  14684,  14685, 
/* msg =   5757, deg = 10 */    308,    649,    875,   1270,   1756,   2833,   4129,   7872,  14685,  14686, 
/* msg =   5758, deg = 10 */     83,    557,   1013,   1281,   1733,   3017,   4878,   8555,  14686,  14687, 
/* msg =   5759, deg = 10 */     66,    652,   1025,   1406,   1590,   2203,   4979,   7747,  14687,  14688, 
/* msg =   5760, deg = 10 */     50,    675,    731,   1235,   1509,   1894,   5196,   8060,  14688,  14689, 
/* msg =   5761, deg = 10 */    194,    670,    721,   1087,   1733,   2924,   4336,   7135,  14689,  14690, 
/* msg =   5762, deg = 10 */    260,    563,    729,   1405,   1696,   3598,   3991,   7162,  14690,  14691, 
/* msg =   5763, deg = 10 */    193,    652,    751,   1412,   1689,   3393,   5548,   7489,  14691,  14692, 
/* msg =   5764, deg = 10 */    115,    680,    724,   1375,   1745,   2100,   5828,   7052,  14692,  14693, 
/* msg =   5765, deg = 10 */    270,    376,    753,   1208,   1684,   2656,   4362,   7968,  14693,  14694, 
/* msg =   5766, deg = 10 */    306,    656,   1071,   1341,   1733,   2577,   5560,   8520,  14694,  14695, 
/* msg =   5767, deg = 10 */     42,    370,    869,   1393,   1686,   2468,   5895,   6778,  14695,  14696, 
/* msg =   5768, deg = 10 */     17,    381,   1052,   1091,   1666,   1889,   4510,   8573,  14696,  14697, 
/* msg =   5769, deg = 10 */    268,    434,    874,   1209,   1720,   2451,   5243,   6328,  14697,  14698, 
/* msg =   5770, deg = 10 */    287,    662,   1037,   1270,   1741,   2836,   3888,   6477,  14698,  14699, 
/* msg =   5771, deg = 10 */    185,    559,    780,   1299,   1671,   2162,   4987,   6444,  14699,  14700, 
/* msg =   5772, deg = 10 */     75,    698,    773,   1402,   1522,   3200,   5162,   7883,  14700,  14701, 
/* msg =   5773, deg = 10 */     88,    414,    804,   1255,   1728,   2089,   4264,   6803,  14701,  14702, 
/* msg =   5774, deg = 10 */    227,    519,   1021,   1369,   1745,   3552,   5728,   6530,  14702,  14703, 
/* msg =   5775, deg = 10 */    187,    378,   1010,   1133,   1481,   3534,   3631,   8116,  14703,  14704, 
/* msg =   5776, deg = 10 */    317,    672,    738,   1375,   1777,   2901,   3711,   7497,  14705,  14706, 
/* msg =   5777, deg = 10 */    309,    650,    876,   1271,   1757,   2834,   4130,   7873,  14706,  14707, 
/* msg =   5778, deg = 10 */     84,    558,   1014,   1282,   1734,   3018,   4879,   8556,  14707,  14708, 
/* msg =   5779, deg = 10 */     67,    653,   1026,   1407,   1591,   2204,   4980,   7748,  14708,  14709, 
/* msg =   5780, deg = 10 */     51,    676,    732,   1236,   1510,   1895,   5197,   8061,  14709,  14710, 
/* msg =   5781, deg = 10 */    195,    671,    722,   1088,   1734,   2925,   4337,   7136,  14710,  14711, 
/* msg =   5782, deg = 10 */    261,    564,    730,   1406,   1697,   3599,   3992,   7163,  14711,  14712, 
/* msg =   5783, deg = 10 */    194,    653,    752,   1413,   1690,   3394,   5549,   7490,  14712,  14713, 
/* msg =   5784, deg = 10 */    116,    681,    725,   1376,   1746,   2101,   5829,   7053,  14713,  14714, 
/* msg =   5785, deg = 10 */    271,    377,    754,   1209,   1685,   2657,   4363,   7969,  14714,  14715, 
/* msg =   5786, deg = 10 */    307,    657,   1072,   1342,   1734,   2578,   5561,   8521,  14715,  14716, 
/* msg =   5787, deg = 10 */     43,    371,    870,   1394,   1687,   2469,   5896,   6779,  14716,  14717, 
/* msg =   5788, deg = 10 */     18,    382,   1053,   1092,   1667,   1890,   4511,   8574,  14717,  14718, 
/* msg =   5789, deg = 10 */    269,    435,    875,   1210,   1721,   2452,   5244,   6329,  14718,  14719, 
/* msg =   5790, deg = 10 */    288,    663,   1038,   1271,   1742,   2837,   3889,   6478,  14719,  14720, 
/* msg =   5791, deg = 10 */    186,    560,    781,   1300,   1672,   2163,   4988,   6445,  14720,  14721, 
/* msg =   5792, deg = 10 */     76,    699,    774,   1403,   1523,   3201,   5163,   7884,  14721,  14722, 
/* msg =   5793, deg = 10 */     89,    415,    805,   1256,   1729,   2090,   4265,   6804,  14722,  14723, 
/* msg =   5794, deg = 10 */    228,    520,   1022,   1370,   1746,   3553,   5729,   6531,  14723,  14724, 
/* msg =   5795, deg = 10 */    188,    379,   1011,   1134,   1482,   3535,   3632,   8117,  14724,  14725, 
/* msg =   5796, deg = 10 */    318,    673,    739,   1376,   1778,   2902,   3712,   7498,  14726,  14727, 
/* msg =   5797, deg = 10 */    310,    651,    877,   1272,   1758,   2835,   4131,   7874,  14727,  14728, 
/* msg =   5798, deg = 10 */     85,    559,   1015,   1283,   1735,   3019,   4880,   8557,  14728,  14729, 
/* msg =   5799, deg = 10 */     68,    654,   1027,   1408,   1592,   2205,   4981,   7749,  14729,  14730, 
/* msg =   5800, deg = 10 */     52,    677,    733,   1237,   1511,   1896,   5198,   8062,  14730,  14731, 
/* msg =   5801, deg = 10 */    196,    672,    723,   1089,   1735,   2926,   4338,   7137,  14731,  14732, 
/* msg =   5802, deg = 10 */    262,    565,    731,   1407,   1698,   3240,   3993,   7164,  14732,  14733, 
/* msg =   5803, deg = 10 */    195,    654,    753,   1414,   1691,   3395,   5550,   7491,  14733,  14734, 
/* msg =   5804, deg = 10 */    117,    682,    726,   1377,   1747,   2102,   5830,   7054,  14734,  14735, 
/* msg =   5805, deg = 10 */    272,    378,    755,   1210,   1686,   2658,   4364,   7970,  14735,  14736, 
/* msg =   5806, deg = 10 */    308,    658,   1073,   1343,   1735,   2579,   5562,   8522,  14736,  14737, 
/* msg =   5807, deg = 10 */     44,    372,    871,   1395,   1688,   2470,   5897,   6780,  14737,  14738, 
/* msg =   5808, deg = 10 */     19,    383,   1054,   1093,   1668,   1891,   4512,   8575,  14738,  14739, 
/* msg =   5809, deg = 10 */    270,    436,    876,   1211,   1722,   2453,   5245,   6330,  14739,  14740, 
/* msg =   5810, deg = 10 */    289,    664,   1039,   1272,   1743,   2838,   3890,   6479,  14740,  14741, 
/* msg =   5811, deg = 10 */    187,    561,    782,   1301,   1673,   2164,   4989,   6446,  14741,  14742, 
/* msg =   5812, deg = 10 */     77,    700,    775,   1404,   1524,   3202,   5164,   7885,  14742,  14743, 
/* msg =   5813, deg = 10 */     90,    416,    806,   1257,   1730,   2091,   4266,   6805,  14743,  14744, 
/* msg =   5814, deg = 10 */    229,    521,   1023,   1371,   1747,   3554,   5730,   6532,  14744,  14745, 
/* msg =   5815, deg = 10 */    189,    380,   1012,   1135,   1483,   3536,   3633,   8118,  14745,  14746, 
/* msg =   5816, deg = 10 */    319,    674,    740,   1377,   1779,   2903,   3713,   7499,  14747,  14748, 
/* msg =   5817, deg = 10 */    311,    652,    878,   1273,   1759,   2836,   4132,   7875,  14748,  14749, 
/* msg =   5818, deg = 10 */     86,    560,   1016,   1284,   1736,   3020,   4881,   8558,  14749,  14750, 
/* msg =   5819, deg = 10 */     69,    655,   1028,   1409,   1593,   2206,   4982,   7750,  14750,  14751, 
/* msg =   5820, deg = 10 */     53,    678,    734,   1238,   1512,   1897,   5199,   8063,  14751,  14752, 
/* msg =   5821, deg = 10 */    197,    673,    724,   1090,   1736,   2927,   4339,   7138,  14752,  14753, 
/* msg =   5822, deg = 10 */    263,    566,    732,   1408,   1699,   3241,   3994,   7165,  14753,  14754, 
/* msg =   5823, deg = 10 */    196,    655,    754,   1415,   1692,   3396,   5551,   7492,  14754,  14755, 
/* msg =   5824, deg = 10 */    118,    683,    727,   1378,   1748,   2103,   5831,   7055,  14755,  14756, 
/* msg =   5825, deg = 10 */    273,    379,    756,   1211,   1687,   2659,   4365,   7971,  14756,  14757, 
/* msg =   5826, deg = 10 */    309,    659,   1074,   1344,   1736,   2580,   5563,   8523,  14757,  14758, 
/* msg =   5827, deg = 10 */     45,    373,    872,   1396,   1689,   2471,   5898,   6781,  14758,  14759, 
/* msg =   5828, deg = 10 */     20,    384,   1055,   1094,   1669,   1892,   4513,   8576,  14759,  14760, 
/* msg =   5829, deg = 10 */    271,    437,    877,   1212,   1723,   2454,   5246,   6331,  14760,  14761, 
/* msg =   5830, deg = 10 */    290,    665,   1040,   1273,   1744,   2839,   3891,   6120,  14761,  14762, 
/* msg =   5831, deg = 10 */    188,    562,    783,   1302,   1674,   2165,   4990,   6447,  14762,  14763, 
/* msg =   5832, deg = 10 */     78,    701,    776,   1405,   1525,   3203,   5165,   7886,  14763,  14764, 
/* msg =   5833, deg = 10 */     91,    417,    807,   1258,   1731,   2092,   4267,   6806,  14764,  14765, 
/* msg =   5834, deg = 10 */    230,    522,   1024,   1372,   1748,   3555,   5731,   6533,  14765,  14766, 
/* msg =   5835, deg = 10 */    190,    381,   1013,   1136,   1484,   3537,   3634,   8119,  14766,  14767, 
/* msg =   5836, deg = 10 */    320,    675,    741,   1378,   1780,   2904,   3714,   7500,  14768,  14769, 
/* msg =   5837, deg = 10 */    312,    653,    879,   1274,   1760,   2837,   4133,   7876,  14769,  14770, 
/* msg =   5838, deg = 10 */     87,    561,   1017,   1285,   1737,   3021,   4882,   8559,  14770,  14771, 
/* msg =   5839, deg = 10 */     70,    656,   1029,   1410,   1594,   2207,   4983,   7751,  14771,  14772, 
/* msg =   5840, deg = 10 */     54,    679,    735,   1239,   1513,   1898,   5200,   8064,  14772,  14773, 
/* msg =   5841, deg = 10 */    198,    674,    725,   1091,   1737,   2928,   4340,   7139,  14773,  14774, 
/* msg =   5842, deg = 10 */    264,    567,    733,   1409,   1700,   3242,   3995,   7166,  14774,  14775, 
/* msg =   5843, deg = 10 */    197,    656,    755,   1416,   1693,   3397,   5552,   7493,  14775,  14776, 
/* msg =   5844, deg = 10 */    119,    684,    728,   1379,   1749,   2104,   5832,   7056,  14776,  14777, 
/* msg =   5845, deg = 10 */    274,    380,    757,   1212,   1688,   2660,   4366,   7972,  14777,  14778, 
/* msg =   5846, deg = 10 */    310,    660,   1075,   1345,   1737,   2581,   5564,   8524,  14778,  14779, 
/* msg =   5847, deg = 10 */     46,    374,    873,   1397,   1690,   2472,   5899,   6782,  14779,  14780, 
/* msg =   5848, deg = 10 */     21,    385,   1056,   1095,   1670,   1893,   4514,   8577,  14780,  14781, 
/* msg =   5849, deg = 10 */    272,    438,    878,   1213,   1724,   2455,   5247,   6332,  14781,  14782, 
/* msg =   5850, deg = 10 */    291,    666,   1041,   1274,   1745,   2840,   3892,   6121,  14782,  14783, 
/* msg =   5851, deg = 10 */    189,    563,    784,   1303,   1675,   2166,   4991,   6448,  14783,  14784, 
/* msg =   5852, deg = 10 */     79,    702,    777,   1406,   1526,   3204,   5166,   7887,  14784,  14785, 
/* msg =   5853, deg = 10 */     92,    418,    808,   1259,   1732,   2093,   4268,   6807,  14785,  14786, 
/* msg =   5854, deg = 10 */    231,    523,   1025,   1373,   1749,   3556,   5732,   6534,  14786,  14787, 
/* msg =   5855, deg = 10 */    191,    382,   1014,   1137,   1485,   3538,   3635,   8120,  14787,  14788, 
/* msg =   5856, deg = 10 */    321,    676,    742,   1379,   1781,   2905,   3715,   7501,  14789,  14790, 
/* msg =   5857, deg = 10 */    313,    654,    880,   1275,   1761,   2838,   4134,   7877,  14790,  14791, 
/* msg =   5858, deg = 10 */     88,    562,   1018,   1286,   1738,   3022,   4883,   8560,  14791,  14792, 
/* msg =   5859, deg = 10 */     71,    657,   1030,   1411,   1595,   2208,   4984,   7752,  14792,  14793, 
/* msg =   5860, deg = 10 */     55,    680,    736,   1240,   1514,   1899,   5201,   8065,  14793,  14794, 
/* msg =   5861, deg = 10 */    199,    675,    726,   1092,   1738,   2929,   4341,   7140,  14794,  14795, 
/* msg =   5862, deg = 10 */    265,    568,    734,   1410,   1701,   3243,   3996,   7167,  14795,  14796, 
/* msg =   5863, deg = 10 */    198,    657,    756,   1417,   1694,   3398,   5553,   7494,  14796,  14797, 
/* msg =   5864, deg = 10 */    120,    685,    729,   1380,   1750,   2105,   5833,   7057,  14797,  14798, 
/* msg =   5865, deg = 10 */    275,    381,    758,   1213,   1689,   2661,   4367,   7973,  14798,  14799, 
/* msg =   5866, deg = 10 */    311,    661,   1076,   1346,   1738,   2582,   5565,   8525,  14799,  14800, 
/* msg =   5867, deg = 10 */     47,    375,    874,   1398,   1691,   2473,   5900,   6783,  14800,  14801, 
/* msg =   5868, deg = 10 */     22,    386,   1057,   1096,   1671,   1894,   4515,   8578,  14801,  14802, 
/* msg =   5869, deg = 10 */    273,    439,    879,   1214,   1725,   2456,   5248,   6333,  14802,  14803, 
/* msg =   5870, deg = 10 */    292,    667,   1042,   1275,   1746,   2841,   3893,   6122,  14803,  14804, 
/* msg =   5871, deg = 10 */    190,    564,    785,   1304,   1676,   2167,   4992,   6449,  14804,  14805, 
/* msg =   5872, deg = 10 */     80,    703,    778,   1407,   1527,   3205,   5167,   7888,  14805,  14806, 
/* msg =   5873, deg = 10 */     93,    419,    809,   1260,   1733,   2094,   4269,   6808,  14806,  14807, 
/* msg =   5874, deg = 10 */    232,    524,   1026,   1374,   1750,   3557,   5733,   6535,  14807,  14808, 
/* msg =   5875, deg = 10 */    192,    383,   1015,   1138,   1486,   3539,   3636,   8121,  14808,  14809, 
/* msg =   5876, deg = 10 */    322,    677,    743,   1380,   1782,   2906,   3716,   7502,  14810,  14811, 
/* msg =   5877, deg = 10 */    314,    655,    881,   1276,   1762,   2839,   4135,   7878,  14811,  14812, 
/* msg =   5878, deg = 10 */     89,    563,   1019,   1287,   1739,   3023,   4884,   8561,  14812,  14813, 
/* msg =   5879, deg = 10 */     72,    658,   1031,   1412,   1596,   2209,   4985,   7753,  14813,  14814, 
/* msg =   5880, deg = 10 */     56,    681,    737,   1241,   1515,   1900,   5202,   8066,  14814,  14815, 
/* msg =   5881, deg = 10 */    200,    676,    727,   1093,   1739,   2930,   4342,   7141,  14815,  14816, 
/* msg =   5882, deg = 10 */    266,    569,    735,   1411,   1702,   3244,   3997,   7168,  14816,  14817, 
/* msg =   5883, deg = 10 */    199,    658,    757,   1418,   1695,   3399,   5554,   7495,  14817,  14818, 
/* msg =   5884, deg = 10 */    121,    686,    730,   1381,   1751,   2106,   5834,   7058,  14818,  14819, 
/* msg =   5885, deg = 10 */    276,    382,    759,   1214,   1690,   2662,   4368,   7974,  14819,  14820, 
/* msg =   5886, deg = 10 */    312,    662,   1077,   1347,   1739,   2583,   5566,   8526,  14820,  14821, 
/* msg =   5887, deg = 10 */     48,    376,    875,   1399,   1692,   2474,   5901,   6784,  14821,  14822, 
/* msg =   5888, deg = 10 */     23,    387,   1058,   1097,   1672,   1895,   4516,   8579,  14822,  14823, 
/* msg =   5889, deg = 10 */    274,    440,    880,   1215,   1726,   2457,   5249,   6334,  14823,  14824, 
/* msg =   5890, deg = 10 */    293,    668,   1043,   1276,   1747,   2842,   3894,   6123,  14824,  14825, 
/* msg =   5891, deg = 10 */    191,    565,    786,   1305,   1677,   2168,   4993,   6450,  14825,  14826, 
/* msg =   5892, deg = 10 */     81,    704,    779,   1408,   1528,   3206,   5168,   7889,  14826,  14827, 
/* msg =   5893, deg = 10 */     94,    420,    810,   1261,   1734,   2095,   4270,   6809,  14827,  14828, 
/* msg =   5894, deg = 10 */    233,    525,   1027,   1375,   1751,   3558,   5734,   6536,  14828,  14829, 
/* msg =   5895, deg = 10 */    193,    384,   1016,   1139,   1487,   3540,   3637,   8122,  14829,  14830, 
/* msg =   5896, deg = 10 */    323,    678,    744,   1381,   1783,   2907,   3717,   7503,  14831,  14832, 
/* msg =   5897, deg = 10 */    315,    656,    882,   1277,   1763,   2840,   4136,   7879,  14832,  14833, 
/* msg =   5898, deg = 10 */     90,    564,   1020,   1288,   1740,   3024,   4885,   8562,  14833,  14834, 
/* msg =   5899, deg = 10 */     73,    659,   1032,   1413,   1597,   2210,   4986,   7754,  14834,  14835, 
/* msg =   5900, deg = 10 */     57,    682,    738,   1242,   1516,   1901,   5203,   8067,  14835,  14836, 
/* msg =   5901, deg = 10 */    201,    677,    728,   1094,   1740,   2931,   4343,   7142,  14836,  14837, 
/* msg =   5902, deg = 10 */    267,    570,    736,   1412,   1703,   3245,   3998,   7169,  14837,  14838, 
/* msg =   5903, deg = 10 */    200,    659,    758,   1419,   1696,   3400,   5555,   7496,  14838,  14839, 
/* msg =   5904, deg = 10 */    122,    687,    731,   1382,   1752,   2107,   5835,   7059,  14839,  14840, 
/* msg =   5905, deg = 10 */    277,    383,    760,   1215,   1691,   2663,   4369,   7975,  14840,  14841, 
/* msg =   5906, deg = 10 */    313,    663,   1078,   1348,   1740,   2584,   5567,   8527,  14841,  14842, 
/* msg =   5907, deg = 10 */     49,    377,    876,   1400,   1693,   2475,   5902,   6785,  14842,  14843, 
/* msg =   5908, deg = 10 */     24,    388,   1059,   1098,   1673,   1896,   4517,   8580,  14843,  14844, 
/* msg =   5909, deg = 10 */    275,    441,    881,   1216,   1727,   2458,   5250,   6335,  14844,  14845, 
/* msg =   5910, deg = 10 */    294,    669,   1044,   1277,   1748,   2843,   3895,   6124,  14845,  14846, 
/* msg =   5911, deg = 10 */    192,    566,    787,   1306,   1678,   2169,   4994,   6451,  14846,  14847, 
/* msg =   5912, deg = 10 */     82,    705,    780,   1409,   1529,   3207,   5169,   7890,  14847,  14848, 
/* msg =   5913, deg = 10 */     95,    421,    811,   1262,   1735,   2096,   4271,   6810,  14848,  14849, 
/* msg =   5914, deg = 10 */    234,    526,   1028,   1376,   1752,   3559,   5735,   6537,  14849,  14850, 
/* msg =   5915, deg = 10 */    194,    385,   1017,   1140,   1488,   3541,   3638,   8123,  14850,  14851, 
/* msg =   5916, deg = 10 */    324,    679,    745,   1382,   1784,   2908,   3718,   7504,  14852,  14853, 
/* msg =   5917, deg = 10 */    316,    657,    883,   1278,   1764,   2841,   4137,   7880,  14853,  14854, 
/* msg =   5918, deg = 10 */     91,    565,   1021,   1289,   1741,   3025,   4886,   8563,  14854,  14855, 
/* msg =   5919, deg = 10 */     74,    660,   1033,   1414,   1598,   2211,   4987,   7755,  14855,  14856, 
/* msg =   5920, deg = 10 */     58,    683,    739,   1243,   1517,   1902,   5204,   8068,  14856,  14857, 
/* msg =   5921, deg = 10 */    202,    678,    729,   1095,   1741,   2932,   4344,   7143,  14857,  14858, 
/* msg =   5922, deg = 10 */    268,    571,    737,   1413,   1704,   3246,   3999,   7170,  14858,  14859, 
/* msg =   5923, deg = 10 */    201,    660,    759,   1420,   1697,   3401,   5556,   7497,  14859,  14860, 
/* msg =   5924, deg = 10 */    123,    688,    732,   1383,   1753,   2108,   5836,   7060,  14860,  14861, 
/* msg =   5925, deg = 10 */    278,    384,    761,   1216,   1692,   2664,   4370,   7976,  14861,  14862, 
/* msg =   5926, deg = 10 */    314,    664,   1079,   1349,   1741,   2585,   5568,   8528,  14862,  14863, 
/* msg =   5927, deg = 10 */     50,    378,    877,   1401,   1694,   2476,   5903,   6786,  14863,  14864, 
/* msg =   5928, deg = 10 */     25,    389,   1060,   1099,   1674,   1897,   4518,   8581,  14864,  14865, 
/* msg =   5929, deg = 10 */    276,    442,    882,   1217,   1728,   2459,   5251,   6336,  14865,  14866, 
/* msg =   5930, deg = 10 */    295,    670,   1045,   1278,   1749,   2844,   3896,   6125,  14866,  14867, 
/* msg =   5931, deg = 10 */    193,    567,    788,   1307,   1679,   2170,   4995,   6452,  14867,  14868, 
/* msg =   5932, deg = 10 */     83,    706,    781,   1410,   1530,   3208,   5170,   7891,  14868,  14869, 
/* msg =   5933, deg = 10 */     96,    422,    812,   1263,   1736,   2097,   4272,   6811,  14869,  14870, 
/* msg =   5934, deg = 10 */    235,    527,   1029,   1377,   1753,   3560,   5736,   6538,  14870,  14871, 
/* msg =   5935, deg = 10 */    195,    386,   1018,   1141,   1489,   3542,   3639,   8124,  14871,  14872, 
/* msg =   5936, deg = 10 */    325,    680,    746,   1383,   1785,   2909,   3719,   7505,  14873,  14874, 
/* msg =   5937, deg = 10 */    317,    658,    884,   1279,   1765,   2842,   4138,   7881,  14874,  14875, 
/* msg =   5938, deg = 10 */     92,    566,   1022,   1290,   1742,   3026,   4887,   8564,  14875,  14876, 
/* msg =   5939, deg = 10 */     75,    661,   1034,   1415,   1599,   2212,   4988,   7756,  14876,  14877, 
/* msg =   5940, deg = 10 */     59,    684,    740,   1244,   1518,   1903,   5205,   8069,  14877,  14878, 
/* msg =   5941, deg = 10 */    203,    679,    730,   1096,   1742,   2933,   4345,   7144,  14878,  14879, 
/* msg =   5942, deg = 10 */    269,    572,    738,   1414,   1705,   3247,   4000,   7171,  14879,  14880, 
/* msg =   5943, deg = 10 */    202,    661,    760,   1421,   1698,   3402,   5557,   7498,  14880,  14881, 
/* msg =   5944, deg = 10 */    124,    689,    733,   1384,   1754,   2109,   5837,   7061,  14881,  14882, 
/* msg =   5945, deg = 10 */    279,    385,    762,   1217,   1693,   2665,   4371,   7977,  14882,  14883, 
/* msg =   5946, deg = 10 */    315,    665,    720,   1350,   1742,   2586,   5569,   8529,  14883,  14884, 
/* msg =   5947, deg = 10 */     51,    379,    878,   1402,   1695,   2477,   5904,   6787,  14884,  14885, 
/* msg =   5948, deg = 10 */     26,    390,   1061,   1100,   1675,   1898,   4519,   8582,  14885,  14886, 
/* msg =   5949, deg = 10 */    277,    443,    883,   1218,   1729,   2460,   5252,   6337,  14886,  14887, 
/* msg =   5950, deg = 10 */    296,    671,   1046,   1279,   1750,   2845,   3897,   6126,  14887,  14888, 
/* msg =   5951, deg = 10 */    194,    568,    789,   1308,   1680,   2171,   4996,   6453,  14888,  14889, 
/* msg =   5952, deg = 10 */     84,    707,    782,   1411,   1531,   3209,   5171,   7892,  14889,  14890, 
/* msg =   5953, deg = 10 */     97,    423,    813,   1264,   1737,   2098,   4273,   6812,  14890,  14891, 
/* msg =   5954, deg = 10 */    236,    528,   1030,   1378,   1754,   3561,   5737,   6539,  14891,  14892, 
/* msg =   5955, deg = 10 */    196,    387,   1019,   1142,   1490,   3543,   3640,   8125,  14892,  14893, 
/* msg =   5956, deg = 10 */    326,    681,    747,   1384,   1786,   2910,   3720,   7506,  14894,  14895, 
/* msg =   5957, deg = 10 */    318,    659,    885,   1280,   1766,   2843,   4139,   7882,  14895,  14896, 
/* msg =   5958, deg = 10 */     93,    567,   1023,   1291,   1743,   3027,   4888,   8565,  14896,  14897, 
/* msg =   5959, deg = 10 */     76,    662,   1035,   1416,   1600,   2213,   4989,   7757,  14897,  14898, 
/* msg =   5960, deg = 10 */     60,    685,    741,   1245,   1519,   1904,   5206,   8070,  14898,  14899, 
/* msg =   5961, deg = 10 */    204,    680,    731,   1097,   1743,   2934,   4346,   7145,  14899,  14900, 
/* msg =   5962, deg = 10 */    270,    573,    739,   1415,   1706,   3248,   4001,   7172,  14900,  14901, 
/* msg =   5963, deg = 10 */    203,    662,    761,   1422,   1699,   3403,   5558,   7499,  14901,  14902, 
/* msg =   5964, deg = 10 */    125,    690,    734,   1385,   1755,   2110,   5838,   7062,  14902,  14903, 
/* msg =   5965, deg = 10 */    280,    386,    763,   1218,   1694,   2666,   4372,   7978,  14903,  14904, 
/* msg =   5966, deg = 10 */    316,    666,    721,   1351,   1743,   2587,   5570,   8530,  14904,  14905, 
/* msg =   5967, deg = 10 */     52,    380,    879,   1403,   1696,   2478,   5905,   6788,  14905,  14906, 
/* msg =   5968, deg = 10 */     27,    391,   1062,   1101,   1676,   1899,   4520,   8583,  14906,  14907, 
/* msg =   5969, deg = 10 */    278,    444,    884,   1219,   1730,   2461,   5253,   6338,  14907,  14908, 
/* msg =   5970, deg = 10 */    297,    672,   1047,   1280,   1751,   2846,   3898,   6127,  14908,  14909, 
/* msg =   5971, deg = 10 */    195,    569,    790,   1309,   1681,   2172,   4997,   6454,  14909,  14910, 
/* msg =   5972, deg = 10 */     85,    708,    783,   1412,   1532,   3210,   5172,   7893,  14910,  14911, 
/* msg =   5973, deg = 10 */     98,    424,    814,   1265,   1738,   2099,   4274,   6813,  14911,  14912, 
/* msg =   5974, deg = 10 */    237,    529,   1031,   1379,   1755,   3562,   5738,   6540,  14912,  14913, 
/* msg =   5975, deg = 10 */    197,    388,   1020,   1143,   1491,   3544,   3641,   8126,  14913,  14914, 
/* msg =   5976, deg = 10 */    327,    682,    748,   1385,   1787,   2911,   3721,   7507,  14915,  14916, 
/* msg =   5977, deg = 10 */    319,    660,    886,   1281,   1767,   2844,   4140,   7883,  14916,  14917, 
/* msg =   5978, deg = 10 */     94,    568,   1024,   1292,   1744,   3028,   4889,   8566,  14917,  14918, 
/* msg =   5979, deg = 10 */     77,    663,   1036,   1417,   1601,   2214,   4990,   7758,  14918,  14919, 
/* msg =   5980, deg = 10 */     61,    686,    742,   1246,   1520,   1905,   5207,   8071,  14919,  14920, 
/* msg =   5981, deg = 10 */    205,    681,    732,   1098,   1744,   2935,   4347,   7146,  14920,  14921, 
/* msg =   5982, deg = 10 */    271,    574,    740,   1416,   1707,   3249,   4002,   7173,  14921,  14922, 
/* msg =   5983, deg = 10 */    204,    663,    762,   1423,   1700,   3404,   5559,   7500,  14922,  14923, 
/* msg =   5984, deg = 10 */    126,    691,    735,   1386,   1756,   2111,   5839,   7063,  14923,  14924, 
/* msg =   5985, deg = 10 */    281,    387,    764,   1219,   1695,   2667,   4373,   7979,  14924,  14925, 
/* msg =   5986, deg = 10 */    317,    667,    722,   1352,   1744,   2588,   5571,   8531,  14925,  14926, 
/* msg =   5987, deg = 10 */     53,    381,    880,   1404,   1697,   2479,   5906,   6789,  14926,  14927, 
/* msg =   5988, deg = 10 */     28,    392,   1063,   1102,   1677,   1900,   4521,   8584,  14927,  14928, 
/* msg =   5989, deg = 10 */    279,    445,    885,   1220,   1731,   2462,   5254,   6339,  14928,  14929, 
/* msg =   5990, deg = 10 */    298,    673,   1048,   1281,   1752,   2847,   3899,   6128,  14929,  14930, 
/* msg =   5991, deg = 10 */    196,    570,    791,   1310,   1682,   2173,   4998,   6455,  14930,  14931, 
/* msg =   5992, deg = 10 */     86,    709,    784,   1413,   1533,   3211,   5173,   7894,  14931,  14932, 
/* msg =   5993, deg = 10 */     99,    425,    815,   1266,   1739,   2100,   4275,   6814,  14932,  14933, 
/* msg =   5994, deg = 10 */    238,    530,   1032,   1380,   1756,   3563,   5739,   6541,  14933,  14934, 
/* msg =   5995, deg = 10 */    198,    389,   1021,   1144,   1492,   3545,   3642,   8127,  14934,  14935, 
/* msg =   5996, deg = 10 */    328,    683,    749,   1386,   1788,   2912,   3722,   7508,  14936,  14937, 
/* msg =   5997, deg = 10 */    320,    661,    887,   1282,   1768,   2845,   4141,   7884,  14937,  14938, 
/* msg =   5998, deg = 10 */     95,    569,   1025,   1293,   1745,   3029,   4890,   8567,  14938,  14939, 
/* msg =   5999, deg = 10 */     78,    664,   1037,   1418,   1602,   2215,   4991,   7759,  14939,  14940, 
/* msg =   6000, deg = 10 */     62,    687,    743,   1247,   1521,   1906,   5208,   8072,  14940,  14941, 
/* msg =   6001, deg = 10 */    206,    682,    733,   1099,   1745,   2936,   4348,   7147,  14941,  14942, 
/* msg =   6002, deg = 10 */    272,    575,    741,   1417,   1708,   3250,   4003,   7174,  14942,  14943, 
/* msg =   6003, deg = 10 */    205,    664,    763,   1424,   1701,   3405,   5560,   7501,  14943,  14944, 
/* msg =   6004, deg = 10 */    127,    692,    736,   1387,   1757,   2112,   5840,   7064,  14944,  14945, 
/* msg =   6005, deg = 10 */    282,    388,    765,   1220,   1696,   2668,   4374,   7980,  14945,  14946, 
/* msg =   6006, deg = 10 */    318,    668,    723,   1353,   1745,   2589,   5572,   8532,  14946,  14947, 
/* msg =   6007, deg = 10 */     54,    382,    881,   1405,   1698,   2480,   5907,   6790,  14947,  14948, 
/* msg =   6008, deg = 10 */     29,    393,   1064,   1103,   1678,   1901,   4522,   8585,  14948,  14949, 
/* msg =   6009, deg = 10 */    280,    446,    886,   1221,   1732,   2463,   5255,   6340,  14949,  14950, 
/* msg =   6010, deg = 10 */    299,    674,   1049,   1282,   1753,   2848,   3900,   6129,  14950,  14951, 
/* msg =   6011, deg = 10 */    197,    571,    792,   1311,   1683,   2174,   4999,   6456,  14951,  14952, 
/* msg =   6012, deg = 10 */     87,    710,    785,   1414,   1534,   3212,   5174,   7895,  14952,  14953, 
/* msg =   6013, deg = 10 */    100,    426,    816,   1267,   1740,   2101,   4276,   6815,  14953,  14954, 
/* msg =   6014, deg = 10 */    239,    531,   1033,   1381,   1757,   3564,   5740,   6542,  14954,  14955, 
/* msg =   6015, deg = 10 */    199,    390,   1022,   1145,   1493,   3546,   3643,   8128,  14955,  14956, 
/* msg =   6016, deg = 10 */    329,    684,    750,   1387,   1789,   2913,   3723,   7509,  14957,  14958, 
/* msg =   6017, deg = 10 */    321,    662,    888,   1283,   1769,   2846,   4142,   7885,  14958,  14959, 
/* msg =   6018, deg = 10 */     96,    570,   1026,   1294,   1746,   3030,   4891,   8568,  14959,  14960, 
/* msg =   6019, deg = 10 */     79,    665,   1038,   1419,   1603,   2216,   4992,   7760,  14960,  14961, 
/* msg =   6020, deg = 10 */     63,    688,    744,   1248,   1522,   1907,   5209,   8073,  14961,  14962, 
/* msg =   6021, deg = 10 */    207,    683,    734,   1100,   1746,   2937,   4349,   7148,  14962,  14963, 
/* msg =   6022, deg = 10 */    273,    576,    742,   1418,   1709,   3251,   4004,   7175,  14963,  14964, 
/* msg =   6023, deg = 10 */    206,    665,    764,   1425,   1702,   3406,   5561,   7502,  14964,  14965, 
/* msg =   6024, deg = 10 */    128,    693,    737,   1388,   1758,   2113,   5841,   7065,  14965,  14966, 
/* msg =   6025, deg = 10 */    283,    389,    766,   1221,   1697,   2669,   4375,   7981,  14966,  14967, 
/* msg =   6026, deg = 10 */    319,    669,    724,   1354,   1746,   2590,   5573,   8533,  14967,  14968, 
/* msg =   6027, deg = 10 */     55,    383,    882,   1406,   1699,   2481,   5908,   6791,  14968,  14969, 
/* msg =   6028, deg = 10 */     30,    394,   1065,   1104,   1679,   1902,   4523,   8586,  14969,  14970, 
/* msg =   6029, deg = 10 */    281,    447,    887,   1222,   1733,   2464,   5256,   6341,  14970,  14971, 
/* msg =   6030, deg = 10 */    300,    675,   1050,   1283,   1754,   2849,   3901,   6130,  14971,  14972, 
/* msg =   6031, deg = 10 */    198,    572,    793,   1312,   1684,   2175,   5000,   6457,  14972,  14973, 
/* msg =   6032, deg = 10 */     88,    711,    786,   1415,   1535,   3213,   5175,   7896,  14973,  14974, 
/* msg =   6033, deg = 10 */    101,    427,    817,   1268,   1741,   2102,   4277,   6816,  14974,  14975, 
/* msg =   6034, deg = 10 */    240,    532,   1034,   1382,   1758,   3565,   5741,   6543,  14975,  14976, 
/* msg =   6035, deg = 10 */    200,    391,   1023,   1146,   1494,   3547,   3644,   8129,  14976,  14977, 
/* msg =   6036, deg = 10 */    330,    685,    751,   1388,   1790,   2914,   3724,   7510,  14978,  14979, 
/* msg =   6037, deg = 10 */    322,    663,    889,   1284,   1770,   2847,   4143,   7886,  14979,  14980, 
/* msg =   6038, deg = 10 */     97,    571,   1027,   1295,   1747,   3031,   4892,   8569,  14980,  14981, 
/* msg =   6039, deg = 10 */     80,    666,   1039,   1420,   1604,   2217,   4993,   7761,  14981,  14982, 
/* msg =   6040, deg = 10 */     64,    689,    745,   1249,   1523,   1908,   5210,   8074,  14982,  14983, 
/* msg =   6041, deg = 10 */    208,    684,    735,   1101,   1747,   2938,   4350,   7149,  14983,  14984, 
/* msg =   6042, deg = 10 */    274,    577,    743,   1419,   1710,   3252,   4005,   7176,  14984,  14985, 
/* msg =   6043, deg = 10 */    207,    666,    765,   1426,   1703,   3407,   5562,   7503,  14985,  14986, 
/* msg =   6044, deg = 10 */    129,    694,    738,   1389,   1759,   2114,   5842,   7066,  14986,  14987, 
/* msg =   6045, deg = 10 */    284,    390,    767,   1222,   1698,   2670,   4376,   7982,  14987,  14988, 
/* msg =   6046, deg = 10 */    320,    670,    725,   1355,   1747,   2591,   5574,   8534,  14988,  14989, 
/* msg =   6047, deg = 10 */     56,    384,    883,   1407,   1700,   2482,   5909,   6792,  14989,  14990, 
/* msg =   6048, deg = 10 */     31,    395,   1066,   1105,   1680,   1903,   4524,   8587,  14990,  14991, 
/* msg =   6049, deg = 10 */    282,    448,    888,   1223,   1734,   2465,   5257,   6342,  14991,  14992, 
/* msg =   6050, deg = 10 */    301,    676,   1051,   1284,   1755,   2850,   3902,   6131,  14992,  14993, 
/* msg =   6051, deg = 10 */    199,    573,    794,   1313,   1685,   2176,   5001,   6458,  14993,  14994, 
/* msg =   6052, deg = 10 */     89,    712,    787,   1416,   1536,   3214,   5176,   7897,  14994,  14995, 
/* msg =   6053, deg = 10 */    102,    428,    818,   1269,   1742,   2103,   4278,   6817,  14995,  14996, 
/* msg =   6054, deg = 10 */    241,    533,   1035,   1383,   1759,   3566,   5742,   6544,  14996,  14997, 
/* msg =   6055, deg = 10 */    201,    392,   1024,   1147,   1495,   3548,   3645,   8130,  14997,  14998, 
/* msg =   6056, deg = 10 */    331,    686,    752,   1389,   1791,   2915,   3725,   7511,  14999,  15000, 
/* msg =   6057, deg = 10 */    323,    664,    890,   1285,   1771,   2848,   4144,   7887,  15000,  15001, 
/* msg =   6058, deg = 10 */     98,    572,   1028,   1296,   1748,   3032,   4893,   8570,  15001,  15002, 
/* msg =   6059, deg = 10 */     81,    667,   1040,   1421,   1605,   2218,   4994,   7762,  15002,  15003, 
/* msg =   6060, deg = 10 */     65,    690,    746,   1250,   1524,   1909,   5211,   8075,  15003,  15004, 
/* msg =   6061, deg = 10 */    209,    685,    736,   1102,   1748,   2939,   4351,   7150,  15004,  15005, 
/* msg =   6062, deg = 10 */    275,    578,    744,   1420,   1711,   3253,   4006,   7177,  15005,  15006, 
/* msg =   6063, deg = 10 */    208,    667,    766,   1427,   1704,   3408,   5563,   7504,  15006,  15007, 
/* msg =   6064, deg = 10 */    130,    695,    739,   1390,   1760,   2115,   5843,   7067,  15007,  15008, 
/* msg =   6065, deg = 10 */    285,    391,    768,   1223,   1699,   2671,   4377,   7983,  15008,  15009, 
/* msg =   6066, deg = 10 */    321,    671,    726,   1356,   1748,   2592,   5575,   8535,  15009,  15010, 
/* msg =   6067, deg = 10 */     57,    385,    884,   1408,   1701,   2483,   5910,   6793,  15010,  15011, 
/* msg =   6068, deg = 10 */     32,    396,   1067,   1106,   1681,   1904,   4525,   8588,  15011,  15012, 
/* msg =   6069, deg = 10 */    283,    449,    889,   1224,   1735,   2466,   5258,   6343,  15012,  15013, 
/* msg =   6070, deg = 10 */    302,    677,   1052,   1285,   1756,   2851,   3903,   6132,  15013,  15014, 
/* msg =   6071, deg = 10 */    200,    574,    795,   1314,   1686,   2177,   5002,   6459,  15014,  15015, 
/* msg =   6072, deg = 10 */     90,    713,    788,   1417,   1537,   3215,   5177,   7898,  15015,  15016, 
/* msg =   6073, deg = 10 */    103,    429,    819,   1270,   1743,   2104,   4279,   6818,  15016,  15017, 
/* msg =   6074, deg = 10 */    242,    534,   1036,   1384,   1760,   3567,   5743,   6545,  15017,  15018, 
/* msg =   6075, deg = 10 */    202,    393,   1025,   1148,   1496,   3549,   3646,   8131,  15018,  15019, 
/* msg =   6076, deg = 10 */    332,    687,    753,   1390,   1792,   2916,   3726,   7512,  15020,  15021, 
/* msg =   6077, deg = 10 */    324,    665,    891,   1286,   1772,   2849,   4145,   7888,  15021,  15022, 
/* msg =   6078, deg = 10 */     99,    573,   1029,   1297,   1749,   3033,   4894,   8571,  15022,  15023, 
/* msg =   6079, deg = 10 */     82,    668,   1041,   1422,   1606,   2219,   4995,   7763,  15023,  15024, 
/* msg =   6080, deg = 10 */     66,    691,    747,   1251,   1525,   1910,   5212,   8076,  15024,  15025, 
/* msg =   6081, deg = 10 */    210,    686,    737,   1103,   1749,   2940,   4352,   7151,  15025,  15026, 
/* msg =   6082, deg = 10 */    276,    579,    745,   1421,   1712,   3254,   4007,   7178,  15026,  15027, 
/* msg =   6083, deg = 10 */    209,    668,    767,   1428,   1705,   3409,   5564,   7505,  15027,  15028, 
/* msg =   6084, deg = 10 */    131,    696,    740,   1391,   1761,   2116,   5844,   7068,  15028,  15029, 
/* msg =   6085, deg = 10 */    286,    392,    769,   1224,   1700,   2672,   4378,   7984,  15029,  15030, 
/* msg =   6086, deg = 10 */    322,    672,    727,   1357,   1749,   2593,   5576,   8536,  15030,  15031, 
/* msg =   6087, deg = 10 */     58,    386,    885,   1409,   1702,   2484,   5911,   6794,  15031,  15032, 
/* msg =   6088, deg = 10 */     33,    397,   1068,   1107,   1682,   1905,   4526,   8589,  15032,  15033, 
/* msg =   6089, deg = 10 */    284,    450,    890,   1225,   1736,   2467,   5259,   6344,  15033,  15034, 
/* msg =   6090, deg = 10 */    303,    678,   1053,   1286,   1757,   2852,   3904,   6133,  15034,  15035, 
/* msg =   6091, deg = 10 */    201,    575,    796,   1315,   1687,   2178,   5003,   6460,  15035,  15036, 
/* msg =   6092, deg = 10 */     91,    714,    789,   1418,   1538,   3216,   5178,   7899,  15036,  15037, 
/* msg =   6093, deg = 10 */    104,    430,    820,   1271,   1744,   2105,   4280,   6819,  15037,  15038, 
/* msg =   6094, deg = 10 */    243,    535,   1037,   1385,   1761,   3568,   5744,   6546,  15038,  15039, 
/* msg =   6095, deg = 10 */    203,    394,   1026,   1149,   1497,   3550,   3647,   8132,  15039,  15040, 
/* msg =   6096, deg = 10 */    333,    688,    754,   1391,   1793,   2917,   3727,   7513,  15041,  15042, 
/* msg =   6097, deg = 10 */    325,    666,    892,   1287,   1773,   2850,   4146,   7889,  15042,  15043, 
/* msg =   6098, deg = 10 */    100,    574,   1030,   1298,   1750,   3034,   4895,   8572,  15043,  15044, 
/* msg =   6099, deg = 10 */     83,    669,   1042,   1423,   1607,   2220,   4996,   7764,  15044,  15045, 
/* msg =   6100, deg = 10 */     67,    692,    748,   1252,   1526,   1911,   5213,   8077,  15045,  15046, 
/* msg =   6101, deg = 10 */    211,    687,    738,   1104,   1750,   2941,   4353,   7152,  15046,  15047, 
/* msg =   6102, deg = 10 */    277,    580,    746,   1422,   1713,   3255,   4008,   7179,  15047,  15048, 
/* msg =   6103, deg = 10 */    210,    669,    768,   1429,   1706,   3410,   5565,   7506,  15048,  15049, 
/* msg =   6104, deg = 10 */    132,    697,    741,   1392,   1762,   2117,   5845,   7069,  15049,  15050, 
/* msg =   6105, deg = 10 */    287,    393,    770,   1225,   1701,   2673,   4379,   7985,  15050,  15051, 
/* msg =   6106, deg = 10 */    323,    673,    728,   1358,   1750,   2594,   5577,   8537,  15051,  15052, 
/* msg =   6107, deg = 10 */     59,    387,    886,   1410,   1703,   2485,   5912,   6795,  15052,  15053, 
/* msg =   6108, deg = 10 */     34,    398,   1069,   1108,   1683,   1906,   4527,   8590,  15053,  15054, 
/* msg =   6109, deg = 10 */    285,    451,    891,   1226,   1737,   2468,   5260,   6345,  15054,  15055, 
/* msg =   6110, deg = 10 */    304,    679,   1054,   1287,   1758,   2853,   3905,   6134,  15055,  15056, 
/* msg =   6111, deg = 10 */    202,    576,    797,   1316,   1688,   2179,   5004,   6461,  15056,  15057, 
/* msg =   6112, deg = 10 */     92,    715,    790,   1419,   1539,   3217,   5179,   7900,  15057,  15058, 
/* msg =   6113, deg = 10 */    105,    431,    821,   1272,   1745,   2106,   4281,   6820,  15058,  15059, 
/* msg =   6114, deg = 10 */    244,    536,   1038,   1386,   1762,   3569,   5745,   6547,  15059,  15060, 
/* msg =   6115, deg = 10 */    204,    395,   1027,   1150,   1498,   3551,   3648,   8133,  15060,  15061, 
/* msg =   6116, deg = 10 */    334,    689,    755,   1392,   1794,   2918,   3728,   7514,  15062,  15063, 
/* msg =   6117, deg = 10 */    326,    667,    893,   1288,   1774,   2851,   4147,   7890,  15063,  15064, 
/* msg =   6118, deg = 10 */    101,    575,   1031,   1299,   1751,   3035,   4896,   8573,  15064,  15065, 
/* msg =   6119, deg = 10 */     84,    670,   1043,   1424,   1608,   2221,   4997,   7765,  15065,  15066, 
/* msg =   6120, deg = 10 */     68,    693,    749,   1253,   1527,   1912,   5214,   8078,  15066,  15067, 
/* msg =   6121, deg = 10 */    212,    688,    739,   1105,   1751,   2942,   4354,   7153,  15067,  15068, 
/* msg =   6122, deg = 10 */    278,    581,    747,   1423,   1714,   3256,   4009,   7180,  15068,  15069, 
/* msg =   6123, deg = 10 */    211,    670,    769,   1430,   1707,   3411,   5566,   7507,  15069,  15070, 
/* msg =   6124, deg = 10 */    133,    698,    742,   1393,   1763,   2118,   5846,   7070,  15070,  15071, 
/* msg =   6125, deg = 10 */    288,    394,    771,   1226,   1702,   2674,   4380,   7986,  15071,  15072, 
/* msg =   6126, deg = 10 */    324,    674,    729,   1359,   1751,   2595,   5578,   8538,  15072,  15073, 
/* msg =   6127, deg = 10 */     60,    388,    887,   1411,   1704,   2486,   5913,   6796,  15073,  15074, 
/* msg =   6128, deg = 10 */     35,    399,   1070,   1109,   1684,   1907,   4528,   8591,  15074,  15075, 
/* msg =   6129, deg = 10 */    286,    452,    892,   1227,   1738,   2469,   5261,   6346,  15075,  15076, 
/* msg =   6130, deg = 10 */    305,    680,   1055,   1288,   1759,   2854,   3906,   6135,  15076,  15077, 
/* msg =   6131, deg = 10 */    203,    577,    798,   1317,   1689,   2180,   5005,   6462,  15077,  15078, 
/* msg =   6132, deg = 10 */     93,    716,    791,   1420,   1540,   3218,   5180,   7901,  15078,  15079, 
/* msg =   6133, deg = 10 */    106,    432,    822,   1273,   1746,   2107,   4282,   6821,  15079,  15080, 
/* msg =   6134, deg = 10 */    245,    537,   1039,   1387,   1763,   3570,   5746,   6548,  15080,  15081, 
/* msg =   6135, deg = 10 */    205,    396,   1028,   1151,   1499,   3552,   3649,   8134,  15081,  15082, 
/* msg =   6136, deg = 10 */    335,    690,    756,   1393,   1795,   2919,   3729,   7515,  15083,  15084, 
/* msg =   6137, deg = 10 */    327,    668,    894,   1289,   1775,   2852,   4148,   7891,  15084,  15085, 
/* msg =   6138, deg = 10 */    102,    576,   1032,   1300,   1752,   3036,   4897,   8574,  15085,  15086, 
/* msg =   6139, deg = 10 */     85,    671,   1044,   1425,   1609,   2222,   4998,   7766,  15086,  15087, 
/* msg =   6140, deg = 10 */     69,    694,    750,   1254,   1528,   1913,   5215,   8079,  15087,  15088, 
/* msg =   6141, deg = 10 */    213,    689,    740,   1106,   1752,   2943,   4355,   7154,  15088,  15089, 
/* msg =   6142, deg = 10 */    279,    582,    748,   1424,   1715,   3257,   4010,   7181,  15089,  15090, 
/* msg =   6143, deg = 10 */    212,    671,    770,   1431,   1708,   3412,   5567,   7508,  15090,  15091, 
/* msg =   6144, deg = 10 */    134,    699,    743,   1394,   1764,   2119,   5847,   7071,  15091,  15092, 
/* msg =   6145, deg = 10 */    289,    395,    772,   1227,   1703,   2675,   4381,   7987,  15092,  15093, 
/* msg =   6146, deg = 10 */    325,    675,    730,   1360,   1752,   2596,   5579,   8539,  15093,  15094, 
/* msg =   6147, deg = 10 */     61,    389,    888,   1412,   1705,   2487,   5914,   6797,  15094,  15095, 
/* msg =   6148, deg = 10 */     36,    400,   1071,   1110,   1685,   1908,   4529,   8592,  15095,  15096, 
/* msg =   6149, deg = 10 */    287,    453,    893,   1228,   1739,   2470,   5262,   6347,  15096,  15097, 
/* msg =   6150, deg = 10 */    306,    681,   1056,   1289,   1760,   2855,   3907,   6136,  15097,  15098, 
/* msg =   6151, deg = 10 */    204,    578,    799,   1318,   1690,   2181,   5006,   6463,  15098,  15099, 
/* msg =   6152, deg = 10 */     94,    717,    792,   1421,   1541,   3219,   5181,   7902,  15099,  15100, 
/* msg =   6153, deg = 10 */    107,    433,    823,   1274,   1747,   2108,   4283,   6822,  15100,  15101, 
/* msg =   6154, deg = 10 */    246,    538,   1040,   1388,   1764,   3571,   5747,   6549,  15101,  15102, 
/* msg =   6155, deg = 10 */    206,    397,   1029,   1152,   1500,   3553,   3650,   8135,  15102,  15103, 
/* msg =   6156, deg = 10 */    336,    691,    757,   1394,   1796,   2920,   3730,   7516,  15104,  15105, 
/* msg =   6157, deg = 10 */    328,    669,    895,   1290,   1776,   2853,   4149,   7892,  15105,  15106, 
/* msg =   6158, deg = 10 */    103,    577,   1033,   1301,   1753,   3037,   4898,   8575,  15106,  15107, 
/* msg =   6159, deg = 10 */     86,    672,   1045,   1426,   1610,   2223,   4999,   7767,  15107,  15108, 
/* msg =   6160, deg = 10 */     70,    695,    751,   1255,   1529,   1914,   5216,   8080,  15108,  15109, 
/* msg =   6161, deg = 10 */    214,    690,    741,   1107,   1753,   2944,   4356,   7155,  15109,  15110, 
/* msg =   6162, deg = 10 */    280,    583,    749,   1425,   1716,   3258,   4011,   7182,  15110,  15111, 
/* msg =   6163, deg = 10 */    213,    672,    771,   1432,   1709,   3413,   5568,   7509,  15111,  15112, 
/* msg =   6164, deg = 10 */    135,    700,    744,   1395,   1765,   2120,   5848,   7072,  15112,  15113, 
/* msg =   6165, deg = 10 */    290,    396,    773,   1228,   1704,   2676,   4382,   7988,  15113,  15114, 
/* msg =   6166, deg = 10 */    326,    676,    731,   1361,   1753,   2597,   5580,   8540,  15114,  15115, 
/* msg =   6167, deg = 10 */     62,    390,    889,   1413,   1706,   2488,   5915,   6798,  15115,  15116, 
/* msg =   6168, deg = 10 */     37,    401,   1072,   1111,   1686,   1909,   4530,   8593,  15116,  15117, 
/* msg =   6169, deg = 10 */    288,    454,    894,   1229,   1740,   2471,   5263,   6348,  15117,  15118, 
/* msg =   6170, deg = 10 */    307,    682,   1057,   1290,   1761,   2856,   3908,   6137,  15118,  15119, 
/* msg =   6171, deg = 10 */    205,    579,    800,   1319,   1691,   2182,   5007,   6464,  15119,  15120, 
/* msg =   6172, deg = 10 */     95,    718,    793,   1422,   1542,   3220,   5182,   7903,  15120,  15121, 
/* msg =   6173, deg = 10 */    108,    434,    824,   1275,   1748,   2109,   4284,   6823,  15121,  15122, 
/* msg =   6174, deg = 10 */    247,    539,   1041,   1389,   1765,   3572,   5748,   6550,  15122,  15123, 
/* msg =   6175, deg = 10 */    207,    398,   1030,   1153,   1501,   3554,   3651,   8136,  15123,  15124, 
/* msg =   6176, deg = 10 */    337,    692,    758,   1395,   1797,   2921,   3731,   7517,  15125,  15126, 
/* msg =   6177, deg = 10 */    329,    670,    896,   1291,   1777,   2854,   4150,   7893,  15126,  15127, 
/* msg =   6178, deg = 10 */    104,    578,   1034,   1302,   1754,   3038,   4899,   8576,  15127,  15128, 
/* msg =   6179, deg = 10 */     87,    673,   1046,   1427,   1611,   2224,   5000,   7768,  15128,  15129, 
/* msg =   6180, deg = 10 */     71,    696,    752,   1256,   1530,   1915,   5217,   8081,  15129,  15130, 
/* msg =   6181, deg = 10 */    215,    691,    742,   1108,   1754,   2945,   4357,   7156,  15130,  15131, 
/* msg =   6182, deg = 10 */    281,    584,    750,   1426,   1717,   3259,   4012,   7183,  15131,  15132, 
/* msg =   6183, deg = 10 */    214,    673,    772,   1433,   1710,   3414,   5569,   7510,  15132,  15133, 
/* msg =   6184, deg = 10 */    136,    701,    745,   1396,   1766,   2121,   5849,   7073,  15133,  15134, 
/* msg =   6185, deg = 10 */    291,    397,    774,   1229,   1705,   2677,   4383,   7989,  15134,  15135, 
/* msg =   6186, deg = 10 */    327,    677,    732,   1362,   1754,   2598,   5581,   8541,  15135,  15136, 
/* msg =   6187, deg = 10 */     63,    391,    890,   1414,   1707,   2489,   5916,   6799,  15136,  15137, 
/* msg =   6188, deg = 10 */     38,    402,   1073,   1112,   1687,   1910,   4531,   8594,  15137,  15138, 
/* msg =   6189, deg = 10 */    289,    455,    895,   1230,   1741,   2472,   5264,   6349,  15138,  15139, 
/* msg =   6190, deg = 10 */    308,    683,   1058,   1291,   1762,   2857,   3909,   6138,  15139,  15140, 
/* msg =   6191, deg = 10 */    206,    580,    801,   1320,   1692,   2183,   5008,   6465,  15140,  15141, 
/* msg =   6192, deg = 10 */     96,    719,    794,   1423,   1543,   3221,   5183,   7904,  15141,  15142, 
/* msg =   6193, deg = 10 */    109,    435,    825,   1276,   1749,   2110,   4285,   6824,  15142,  15143, 
/* msg =   6194, deg = 10 */    248,    540,   1042,   1390,   1766,   3573,   5749,   6551,  15143,  15144, 
/* msg =   6195, deg = 10 */    208,    399,   1031,   1154,   1502,   3555,   3652,   8137,  15144,  15145, 
/* msg =   6196, deg = 10 */    338,    693,    759,   1396,   1798,   2922,   3732,   7518,  15146,  15147, 
/* msg =   6197, deg = 10 */    330,    671,    897,   1292,   1778,   2855,   4151,   7894,  15147,  15148, 
/* msg =   6198, deg = 10 */    105,    579,   1035,   1303,   1755,   3039,   4900,   8577,  15148,  15149, 
/* msg =   6199, deg = 10 */     88,    674,   1047,   1428,   1612,   2225,   5001,   7769,  15149,  15150, 
/* msg =   6200, deg = 10 */     72,    697,    753,   1257,   1531,   1916,   5218,   8082,  15150,  15151, 
/* msg =   6201, deg = 10 */    216,    692,    743,   1109,   1755,   2946,   4358,   7157,  15151,  15152, 
/* msg =   6202, deg = 10 */    282,    585,    751,   1427,   1718,   3260,   4013,   7184,  15152,  15153, 
/* msg =   6203, deg = 10 */    215,    674,    773,   1434,   1711,   3415,   5570,   7511,  15153,  15154, 
/* msg =   6204, deg = 10 */    137,    702,    746,   1397,   1767,   2122,   5850,   7074,  15154,  15155, 
/* msg =   6205, deg = 10 */    292,    398,    775,   1230,   1706,   2678,   4384,   7990,  15155,  15156, 
/* msg =   6206, deg = 10 */    328,    678,    733,   1363,   1755,   2599,   5582,   8542,  15156,  15157, 
/* msg =   6207, deg = 10 */     64,    392,    891,   1415,   1708,   2490,   5917,   6800,  15157,  15158, 
/* msg =   6208, deg = 10 */     39,    403,   1074,   1113,   1688,   1911,   4532,   8595,  15158,  15159, 
/* msg =   6209, deg = 10 */    290,    456,    896,   1231,   1742,   2473,   5265,   6350,  15159,  15160, 
/* msg =   6210, deg = 10 */    309,    684,   1059,   1292,   1763,   2858,   3910,   6139,  15160,  15161, 
/* msg =   6211, deg = 10 */    207,    581,    802,   1321,   1693,   2184,   5009,   6466,  15161,  15162, 
/* msg =   6212, deg = 10 */     97,    360,    795,   1424,   1544,   3222,   5184,   7905,  15162,  15163, 
/* msg =   6213, deg = 10 */    110,    436,    826,   1277,   1750,   2111,   4286,   6825,  15163,  15164, 
/* msg =   6214, deg = 10 */    249,    541,   1043,   1391,   1767,   3574,   5750,   6552,  15164,  15165, 
/* msg =   6215, deg = 10 */    209,    400,   1032,   1155,   1503,   3556,   3653,   8138,  15165,  15166, 
/* msg =   6216, deg = 10 */    339,    694,    760,   1397,   1799,   2923,   3733,   7519,  15167,  15168, 
/* msg =   6217, deg = 10 */    331,    672,    898,   1293,   1779,   2856,   4152,   7895,  15168,  15169, 
/* msg =   6218, deg = 10 */    106,    580,   1036,   1304,   1756,   3040,   4901,   8578,  15169,  15170, 
/* msg =   6219, deg = 10 */     89,    675,   1048,   1429,   1613,   2226,   5002,   7770,  15170,  15171, 
/* msg =   6220, deg = 10 */     73,    698,    754,   1258,   1532,   1917,   5219,   8083,  15171,  15172, 
/* msg =   6221, deg = 10 */    217,    693,    744,   1110,   1756,   2947,   4359,   7158,  15172,  15173, 
/* msg =   6222, deg = 10 */    283,    586,    752,   1428,   1719,   3261,   4014,   7185,  15173,  15174, 
/* msg =   6223, deg = 10 */    216,    675,    774,   1435,   1712,   3416,   5571,   7512,  15174,  15175, 
/* msg =   6224, deg = 10 */    138,    703,    747,   1398,   1768,   2123,   5851,   7075,  15175,  15176, 
/* msg =   6225, deg = 10 */    293,    399,    776,   1231,   1707,   2679,   4385,   7991,  15176,  15177, 
/* msg =   6226, deg = 10 */    329,    679,    734,   1364,   1756,   2600,   5583,   8543,  15177,  15178, 
/* msg =   6227, deg = 10 */     65,    393,    892,   1416,   1709,   2491,   5918,   6801,  15178,  15179, 
/* msg =   6228, deg = 10 */     40,    404,   1075,   1114,   1689,   1912,   4533,   8596,  15179,  15180, 
/* msg =   6229, deg = 10 */    291,    457,    897,   1232,   1743,   2474,   5266,   6351,  15180,  15181, 
/* msg =   6230, deg = 10 */    310,    685,   1060,   1293,   1764,   2859,   3911,   6140,  15181,  15182, 
/* msg =   6231, deg = 10 */    208,    582,    803,   1322,   1694,   2185,   5010,   6467,  15182,  15183, 
/* msg =   6232, deg = 10 */     98,    361,    796,   1425,   1545,   3223,   5185,   7906,  15183,  15184, 
/* msg =   6233, deg = 10 */    111,    437,    827,   1278,   1751,   2112,   4287,   6826,  15184,  15185, 
/* msg =   6234, deg = 10 */    250,    542,   1044,   1392,   1768,   3575,   5751,   6553,  15185,  15186, 
/* msg =   6235, deg = 10 */    210,    401,   1033,   1156,   1504,   3557,   3654,   8139,  15186,  15187, 
/* msg =   6236, deg = 10 */    340,    695,    761,   1398,   1440,   2924,   3734,   7520,  15188,  15189, 
/* msg =   6237, deg = 10 */    332,    673,    899,   1294,   1780,   2857,   4153,   7896,  15189,  15190, 
/* msg =   6238, deg = 10 */    107,    581,   1037,   1305,   1757,   3041,   4902,   8579,  15190,  15191, 
/* msg =   6239, deg = 10 */     90,    676,   1049,   1430,   1614,   2227,   5003,   7771,  15191,  15192, 
/* msg =   6240, deg = 10 */     74,    699,    755,   1259,   1533,   1918,   5220,   8084,  15192,  15193, 
/* msg =   6241, deg = 10 */    218,    694,    745,   1111,   1757,   2948,   4360,   7159,  15193,  15194, 
/* msg =   6242, deg = 10 */    284,    587,    753,   1429,   1720,   3262,   4015,   7186,  15194,  15195, 
/* msg =   6243, deg = 10 */    217,    676,    775,   1436,   1713,   3417,   5572,   7513,  15195,  15196, 
/* msg =   6244, deg = 10 */    139,    704,    748,   1399,   1769,   2124,   5852,   7076,  15196,  15197, 
/* msg =   6245, deg = 10 */    294,    400,    777,   1232,   1708,   2680,   4386,   7992,  15197,  15198, 
/* msg =   6246, deg = 10 */    330,    680,    735,   1365,   1757,   2601,   5584,   8544,  15198,  15199, 
/* msg =   6247, deg = 10 */     66,    394,    893,   1417,   1710,   2492,   5919,   6802,  15199,  15200, 
/* msg =   6248, deg = 10 */     41,    405,   1076,   1115,   1690,   1913,   4534,   8597,  15200,  15201, 
/* msg =   6249, deg = 10 */    292,    458,    898,   1233,   1744,   2475,   5267,   6352,  15201,  15202, 
/* msg =   6250, deg = 10 */    311,    686,   1061,   1294,   1765,   2860,   3912,   6141,  15202,  15203, 
/* msg =   6251, deg = 10 */    209,    583,    804,   1323,   1695,   2186,   5011,   6468,  15203,  15204, 
/* msg =   6252, deg = 10 */     99,    362,    797,   1426,   1546,   3224,   5186,   7907,  15204,  15205, 
/* msg =   6253, deg = 10 */    112,    438,    828,   1279,   1752,   2113,   4288,   6827,  15205,  15206, 
/* msg =   6254, deg = 10 */    251,    543,   1045,   1393,   1769,   3576,   5752,   6554,  15206,  15207, 
/* msg =   6255, deg = 10 */    211,    402,   1034,   1157,   1505,   3558,   3655,   8140,  15207,  15208, 
/* msg =   6256, deg = 10 */    341,    696,    762,   1399,   1441,   2925,   3735,   7521,  15209,  15210, 
/* msg =   6257, deg = 10 */    333,    674,    900,   1295,   1781,   2858,   4154,   7897,  15210,  15211, 
/* msg =   6258, deg = 10 */    108,    582,   1038,   1306,   1758,   3042,   4903,   8580,  15211,  15212, 
/* msg =   6259, deg = 10 */     91,    677,   1050,   1431,   1615,   2228,   5004,   7772,  15212,  15213, 
/* msg =   6260, deg = 10 */     75,    700,    756,   1260,   1534,   1919,   5221,   8085,  15213,  15214, 
/* msg =   6261, deg = 10 */    219,    695,    746,   1112,   1758,   2949,   4361,   7160,  15214,  15215, 
/* msg =   6262, deg = 10 */    285,    588,    754,   1430,   1721,   3263,   4016,   7187,  15215,  15216, 
/* msg =   6263, deg = 10 */    218,    677,    776,   1437,   1714,   3418,   5573,   7514,  15216,  15217, 
/* msg =   6264, deg = 10 */    140,    705,    749,   1400,   1770,   2125,   5853,   7077,  15217,  15218, 
/* msg =   6265, deg = 10 */    295,    401,    778,   1233,   1709,   2681,   4387,   7993,  15218,  15219, 
/* msg =   6266, deg = 10 */    331,    681,    736,   1366,   1758,   2602,   5585,   8545,  15219,  15220, 
/* msg =   6267, deg = 10 */     67,    395,    894,   1418,   1711,   2493,   5920,   6803,  15220,  15221, 
/* msg =   6268, deg = 10 */     42,    406,   1077,   1116,   1691,   1914,   4535,   8598,  15221,  15222, 
/* msg =   6269, deg = 10 */    293,    459,    899,   1234,   1745,   2476,   5268,   6353,  15222,  15223, 
/* msg =   6270, deg = 10 */    312,    687,   1062,   1295,   1766,   2861,   3913,   6142,  15223,  15224, 
/* msg =   6271, deg = 10 */    210,    584,    805,   1324,   1696,   2187,   5012,   6469,  15224,  15225, 
/* msg =   6272, deg = 10 */    100,    363,    798,   1427,   1547,   3225,   5187,   7908,  15225,  15226, 
/* msg =   6273, deg = 10 */    113,    439,    829,   1280,   1753,   2114,   4289,   6828,  15226,  15227, 
/* msg =   6274, deg = 10 */    252,    544,   1046,   1394,   1770,   3577,   5753,   6555,  15227,  15228, 
/* msg =   6275, deg = 10 */    212,    403,   1035,   1158,   1506,   3559,   3656,   8141,  15228,  15229, 
/* msg =   6276, deg = 10 */    342,    697,    763,   1400,   1442,   2926,   3736,   7522,  15230,  15231, 
/* msg =   6277, deg = 10 */    334,    675,    901,   1296,   1782,   2859,   4155,   7898,  15231,  15232, 
/* msg =   6278, deg = 10 */    109,    583,   1039,   1307,   1759,   3043,   4904,   8581,  15232,  15233, 
/* msg =   6279, deg = 10 */     92,    678,   1051,   1432,   1616,   2229,   5005,   7773,  15233,  15234, 
/* msg =   6280, deg = 10 */     76,    701,    757,   1261,   1535,   1920,   5222,   8086,  15234,  15235, 
/* msg =   6281, deg = 10 */    220,    696,    747,   1113,   1759,   2950,   4362,   7161,  15235,  15236, 
/* msg =   6282, deg = 10 */    286,    589,    755,   1431,   1722,   3264,   4017,   7188,  15236,  15237, 
/* msg =   6283, deg = 10 */    219,    678,    777,   1438,   1715,   3419,   5574,   7515,  15237,  15238, 
/* msg =   6284, deg = 10 */    141,    706,    750,   1401,   1771,   2126,   5854,   7078,  15238,  15239, 
/* msg =   6285, deg = 10 */    296,    402,    779,   1234,   1710,   2682,   4388,   7994,  15239,  15240, 
/* msg =   6286, deg = 10 */    332,    682,    737,   1367,   1759,   2603,   5586,   8546,  15240,  15241, 
/* msg =   6287, deg = 10 */     68,    396,    895,   1419,   1712,   2494,   5921,   6804,  15241,  15242, 
/* msg =   6288, deg = 10 */     43,    407,   1078,   1117,   1692,   1915,   4536,   8599,  15242,  15243, 
/* msg =   6289, deg = 10 */    294,    460,    900,   1235,   1746,   2477,   5269,   6354,  15243,  15244, 
/* msg =   6290, deg = 10 */    313,    688,   1063,   1296,   1767,   2862,   3914,   6143,  15244,  15245, 
/* msg =   6291, deg = 10 */    211,    585,    806,   1325,   1697,   2188,   5013,   6470,  15245,  15246, 
/* msg =   6292, deg = 10 */    101,    364,    799,   1428,   1548,   3226,   5188,   7909,  15246,  15247, 
/* msg =   6293, deg = 10 */    114,    440,    830,   1281,   1754,   2115,   4290,   6829,  15247,  15248, 
/* msg =   6294, deg = 10 */    253,    545,   1047,   1395,   1771,   3578,   5754,   6556,  15248,  15249, 
/* msg =   6295, deg = 10 */    213,    404,   1036,   1159,   1507,   3560,   3657,   8142,  15249,  15250, 
/* msg =   6296, deg = 10 */    343,    698,    764,   1401,   1443,   2927,   3737,   7523,  15251,  15252, 
/* msg =   6297, deg = 10 */    335,    676,    902,   1297,   1783,   2860,   4156,   7899,  15252,  15253, 
/* msg =   6298, deg = 10 */    110,    584,   1040,   1308,   1760,   3044,   4905,   8582,  15253,  15254, 
/* msg =   6299, deg = 10 */     93,    679,   1052,   1433,   1617,   2230,   5006,   7774,  15254,  15255, 
/* msg =   6300, deg = 10 */     77,    702,    758,   1262,   1536,   1921,   5223,   8087,  15255,  15256, 
/* msg =   6301, deg = 10 */    221,    697,    748,   1114,   1760,   2951,   4363,   7162,  15256,  15257, 
/* msg =   6302, deg = 10 */    287,    590,    756,   1432,   1723,   3265,   4018,   7189,  15257,  15258, 
/* msg =   6303, deg = 10 */    220,    679,    778,   1439,   1716,   3420,   5575,   7516,  15258,  15259, 
/* msg =   6304, deg = 10 */    142,    707,    751,   1402,   1772,   2127,   5855,   7079,  15259,  15260, 
/* msg =   6305, deg = 10 */    297,    403,    780,   1235,   1711,   2683,   4389,   7995,  15260,  15261, 
/* msg =   6306, deg = 10 */    333,    683,    738,   1368,   1760,   2604,   5587,   8547,  15261,  15262, 
/* msg =   6307, deg = 10 */     69,    397,    896,   1420,   1713,   2495,   5922,   6805,  15262,  15263, 
/* msg =   6308, deg = 10 */     44,    408,   1079,   1118,   1693,   1916,   4537,   8600,  15263,  15264, 
/* msg =   6309, deg = 10 */    295,    461,    901,   1236,   1747,   2478,   5270,   6355,  15264,  15265, 
/* msg =   6310, deg = 10 */    314,    689,   1064,   1297,   1768,   2863,   3915,   6144,  15265,  15266, 
/* msg =   6311, deg = 10 */    212,    586,    807,   1326,   1698,   2189,   5014,   6471,  15266,  15267, 
/* msg =   6312, deg = 10 */    102,    365,    800,   1429,   1549,   3227,   5189,   7910,  15267,  15268, 
/* msg =   6313, deg = 10 */    115,    441,    831,   1282,   1755,   2116,   4291,   6830,  15268,  15269, 
/* msg =   6314, deg = 10 */    254,    546,   1048,   1396,   1772,   3579,   5755,   6557,  15269,  15270, 
/* msg =   6315, deg = 10 */    214,    405,   1037,   1160,   1508,   3561,   3658,   8143,  15270,  15271, 
/* msg =   6316, deg = 10 */    344,    699,    765,   1402,   1444,   2928,   3738,   7524,  15272,  15273, 
/* msg =   6317, deg = 10 */    336,    677,    903,   1298,   1784,   2861,   4157,   7900,  15273,  15274, 
/* msg =   6318, deg = 10 */    111,    585,   1041,   1309,   1761,   3045,   4906,   8583,  15274,  15275, 
/* msg =   6319, deg = 10 */     94,    680,   1053,   1434,   1618,   2231,   5007,   7775,  15275,  15276, 
/* msg =   6320, deg = 10 */     78,    703,    759,   1263,   1537,   1922,   5224,   8088,  15276,  15277, 
/* msg =   6321, deg = 10 */    222,    698,    749,   1115,   1761,   2952,   4364,   7163,  15277,  15278, 
/* msg =   6322, deg = 10 */    288,    591,    757,   1433,   1724,   3266,   4019,   7190,  15278,  15279, 
/* msg =   6323, deg = 10 */    221,    680,    779,   1080,   1717,   3421,   5576,   7517,  15279,  15280, 
/* msg =   6324, deg = 10 */    143,    708,    752,   1403,   1773,   2128,   5856,   7080,  15280,  15281, 
/* msg =   6325, deg = 10 */    298,    404,    781,   1236,   1712,   2684,   4390,   7996,  15281,  15282, 
/* msg =   6326, deg = 10 */    334,    684,    739,   1369,   1761,   2605,   5588,   8548,  15282,  15283, 
/* msg =   6327, deg = 10 */     70,    398,    897,   1421,   1714,   2496,   5923,   6806,  15283,  15284, 
/* msg =   6328, deg = 10 */     45,    409,    720,   1119,   1694,   1917,   4538,   8601,  15284,  15285, 
/* msg =   6329, deg = 10 */    296,    462,    902,   1237,   1748,   2479,   5271,   6356,  15285,  15286, 
/* msg =   6330, deg = 10 */    315,    690,   1065,   1298,   1769,   2864,   3916,   6145,  15286,  15287, 
/* msg =   6331, deg = 10 */    213,    587,    808,   1327,   1699,   2190,   5015,   6472,  15287,  15288, 
/* msg =   6332, deg = 10 */    103,    366,    801,   1430,   1550,   3228,   5190,   7911,  15288,  15289, 
/* msg =   6333, deg = 10 */    116,    442,    832,   1283,   1756,   2117,   4292,   6831,  15289,  15290, 
/* msg =   6334, deg = 10 */    255,    547,   1049,   1397,   1773,   3580,   5756,   6558,  15290,  15291, 
/* msg =   6335, deg = 10 */    215,    406,   1038,   1161,   1509,   3562,   3659,   8144,  15291,  15292, 
/* msg =   6336, deg = 10 */    345,    700,    766,   1403,   1445,   2929,   3739,   7525,  15293,  15294, 
/* msg =   6337, deg = 10 */    337,    678,    904,   1299,   1785,   2862,   4158,   7901,  15294,  15295, 
/* msg =   6338, deg = 10 */    112,    586,   1042,   1310,   1762,   3046,   4907,   8584,  15295,  15296, 
/* msg =   6339, deg = 10 */     95,    681,   1054,   1435,   1619,   2232,   5008,   7776,  15296,  15297, 
/* msg =   6340, deg = 10 */     79,    704,    760,   1264,   1538,   1923,   5225,   8089,  15297,  15298, 
/* msg =   6341, deg = 10 */    223,    699,    750,   1116,   1762,   2953,   4365,   7164,  15298,  15299, 
/* msg =   6342, deg = 10 */    289,    592,    758,   1434,   1725,   3267,   4020,   7191,  15299,  15300, 
/* msg =   6343, deg = 10 */    222,    681,    780,   1081,   1718,   3422,   5577,   7518,  15300,  15301, 
/* msg =   6344, deg = 10 */    144,    709,    753,   1404,   1774,   2129,   5857,   7081,  15301,  15302, 
/* msg =   6345, deg = 10 */    299,    405,    782,   1237,   1713,   2685,   4391,   7997,  15302,  15303, 
/* msg =   6346, deg = 10 */    335,    685,    740,   1370,   1762,   2606,   5589,   8549,  15303,  15304, 
/* msg =   6347, deg = 10 */     71,    399,    898,   1422,   1715,   2497,   5924,   6807,  15304,  15305, 
/* msg =   6348, deg = 10 */     46,    410,    721,   1120,   1695,   1918,   4539,   8602,  15305,  15306, 
/* msg =   6349, deg = 10 */    297,    463,    903,   1238,   1749,   2480,   5272,   6357,  15306,  15307, 
/* msg =   6350, deg = 10 */    316,    691,   1066,   1299,   1770,   2865,   3917,   6146,  15307,  15308, 
/* msg =   6351, deg = 10 */    214,    588,    809,   1328,   1700,   2191,   5016,   6473,  15308,  15309, 
/* msg =   6352, deg = 10 */    104,    367,    802,   1431,   1551,   3229,   5191,   7912,  15309,  15310, 
/* msg =   6353, deg = 10 */    117,    443,    833,   1284,   1757,   2118,   4293,   6832,  15310,  15311, 
/* msg =   6354, deg = 10 */    256,    548,   1050,   1398,   1774,   3581,   5757,   6559,  15311,  15312, 
/* msg =   6355, deg = 10 */    216,    407,   1039,   1162,   1510,   3563,   3660,   8145,  15312,  15313, 
/* msg =   6356, deg = 10 */    346,    701,    767,   1404,   1446,   2930,   3740,   7526,  15314,  15315, 
/* msg =   6357, deg = 10 */    338,    679,    905,   1300,   1786,   2863,   4159,   7902,  15315,  15316, 
/* msg =   6358, deg = 10 */    113,    587,   1043,   1311,   1763,   3047,   4908,   8585,  15316,  15317, 
/* msg =   6359, deg = 10 */     96,    682,   1055,   1436,   1620,   2233,   5009,   7777,  15317,  15318, 
/* msg =   6360, deg = 10 */     80,    705,    761,   1265,   1539,   1924,   5226,   8090,  15318,  15319, 
/* msg =   6361, deg = 10 */    224,    700,    751,   1117,   1763,   2954,   4366,   7165,  15319,  15320, 
/* msg =   6362, deg = 10 */    290,    593,    759,   1435,   1726,   3268,   4021,   7192,  15320,  15321, 
/* msg =   6363, deg = 10 */    223,    682,    781,   1082,   1719,   3423,   5578,   7519,  15321,  15322, 
/* msg =   6364, deg = 10 */    145,    710,    754,   1405,   1775,   2130,   5858,   7082,  15322,  15323, 
/* msg =   6365, deg = 10 */    300,    406,    783,   1238,   1714,   2686,   4392,   7998,  15323,  15324, 
/* msg =   6366, deg = 10 */    336,    686,    741,   1371,   1763,   2607,   5590,   8550,  15324,  15325, 
/* msg =   6367, deg = 10 */     72,    400,    899,   1423,   1716,   2498,   5925,   6808,  15325,  15326, 
/* msg =   6368, deg = 10 */     47,    411,    722,   1121,   1696,   1919,   4540,   8603,  15326,  15327, 
/* msg =   6369, deg = 10 */    298,    464,    904,   1239,   1750,   2481,   5273,   6358,  15327,  15328, 
/* msg =   6370, deg = 10 */    317,    692,   1067,   1300,   1771,   2866,   3918,   6147,  15328,  15329, 
/* msg =   6371, deg = 10 */    215,    589,    810,   1329,   1701,   2192,   5017,   6474,  15329,  15330, 
/* msg =   6372, deg = 10 */    105,    368,    803,   1432,   1552,   3230,   5192,   7913,  15330,  15331, 
/* msg =   6373, deg = 10 */    118,    444,    834,   1285,   1758,   2119,   4294,   6833,  15331,  15332, 
/* msg =   6374, deg = 10 */    257,    549,   1051,   1399,   1775,   3582,   5758,   6560,  15332,  15333, 
/* msg =   6375, deg = 10 */    217,    408,   1040,   1163,   1511,   3564,   3661,   8146,  15333,  15334, 
/* msg =   6376, deg = 10 */    347,    702,    768,   1405,   1447,   2931,   3741,   7527,  15335,  15336, 
/* msg =   6377, deg = 10 */    339,    680,    906,   1301,   1787,   2864,   4160,   7903,  15336,  15337, 
/* msg =   6378, deg = 10 */    114,    588,   1044,   1312,   1764,   3048,   4909,   8586,  15337,  15338, 
/* msg =   6379, deg = 10 */     97,    683,   1056,   1437,   1621,   2234,   5010,   7778,  15338,  15339, 
/* msg =   6380, deg = 10 */     81,    706,    762,   1266,   1540,   1925,   5227,   8091,  15339,  15340, 
/* msg =   6381, deg = 10 */    225,    701,    752,   1118,   1764,   2955,   4367,   7166,  15340,  15341, 
/* msg =   6382, deg = 10 */    291,    594,    760,   1436,   1727,   3269,   4022,   7193,  15341,  15342, 
/* msg =   6383, deg = 10 */    224,    683,    782,   1083,   1720,   3424,   5579,   7520,  15342,  15343, 
/* msg =   6384, deg = 10 */    146,    711,    755,   1406,   1776,   2131,   5859,   7083,  15343,  15344, 
/* msg =   6385, deg = 10 */    301,    407,    784,   1239,   1715,   2687,   4393,   7999,  15344,  15345, 
/* msg =   6386, deg = 10 */    337,    687,    742,   1372,   1764,   2608,   5591,   8551,  15345,  15346, 
/* msg =   6387, deg = 10 */     73,    401,    900,   1424,   1717,   2499,   5926,   6809,  15346,  15347, 
/* msg =   6388, deg = 10 */     48,    412,    723,   1122,   1697,   1920,   4541,   8604,  15347,  15348, 
/* msg =   6389, deg = 10 */    299,    465,    905,   1240,   1751,   2482,   5274,   6359,  15348,  15349, 
/* msg =   6390, deg = 10 */    318,    693,   1068,   1301,   1772,   2867,   3919,   6148,  15349,  15350, 
/* msg =   6391, deg = 10 */    216,    590,    811,   1330,   1702,   2193,   5018,   6475,  15350,  15351, 
/* msg =   6392, deg = 10 */    106,    369,    804,   1433,   1553,   3231,   5193,   7914,  15351,  15352, 
/* msg =   6393, deg = 10 */    119,    445,    835,   1286,   1759,   2120,   4295,   6834,  15352,  15353, 
/* msg =   6394, deg = 10 */    258,    550,   1052,   1400,   1776,   3583,   5759,   6561,  15353,  15354, 
/* msg =   6395, deg = 10 */    218,    409,   1041,   1164,   1512,   3565,   3662,   8147,  15354,  15355, 
/* msg =   6396, deg = 10 */    348,    703,    769,   1406,   1448,   2932,   3742,   7528,  15356,  15357, 
/* msg =   6397, deg = 10 */    340,    681,    907,   1302,   1788,   2865,   4161,   7904,  15357,  15358, 
/* msg =   6398, deg = 10 */    115,    589,   1045,   1313,   1765,   3049,   4910,   8587,  15358,  15359, 
/* msg =   6399, deg = 10 */     98,    684,   1057,   1438,   1622,   2235,   5011,   7779,  15359,  15360, 
/* msg =   6400, deg = 10 */     82,    707,    763,   1267,   1541,   1926,   5228,   8092,  15360,  15361, 
/* msg =   6401, deg = 10 */    226,    702,    753,   1119,   1765,   2956,   4368,   7167,  15361,  15362, 
/* msg =   6402, deg = 10 */    292,    595,    761,   1437,   1728,   3270,   4023,   7194,  15362,  15363, 
/* msg =   6403, deg = 10 */    225,    684,    783,   1084,   1721,   3425,   5580,   7521,  15363,  15364, 
/* msg =   6404, deg = 10 */    147,    712,    756,   1407,   1777,   2132,   5860,   7084,  15364,  15365, 
/* msg =   6405, deg = 10 */    302,    408,    785,   1240,   1716,   2688,   4394,   8000,  15365,  15366, 
/* msg =   6406, deg = 10 */    338,    688,    743,   1373,   1765,   2609,   5592,   8552,  15366,  15367, 
/* msg =   6407, deg = 10 */     74,    402,    901,   1425,   1718,   2500,   5927,   6810,  15367,  15368, 
/* msg =   6408, deg = 10 */     49,    413,    724,   1123,   1698,   1921,   4542,   8605,  15368,  15369, 
/* msg =   6409, deg = 10 */    300,    466,    906,   1241,   1752,   2483,   5275,   6360,  15369,  15370, 
/* msg =   6410, deg = 10 */    319,    694,   1069,   1302,   1773,   2868,   3920,   6149,  15370,  15371, 
/* msg =   6411, deg = 10 */    217,    591,    812,   1331,   1703,   2194,   5019,   6476,  15371,  15372, 
/* msg =   6412, deg = 10 */    107,    370,    805,   1434,   1554,   3232,   5194,   7915,  15372,  15373, 
/* msg =   6413, deg = 10 */    120,    446,    836,   1287,   1760,   2121,   4296,   6835,  15373,  15374, 
/* msg =   6414, deg = 10 */    259,    551,   1053,   1401,   1777,   3584,   5400,   6562,  15374,  15375, 
/* msg =   6415, deg = 10 */    219,    410,   1042,   1165,   1513,   3566,   3663,   8148,  15375,  15376, 
/* msg =   6416, deg = 10 */    349,    704,    770,   1407,   1449,   2933,   3743,   7529,  15377,  15378, 
/* msg =   6417, deg = 10 */    341,    682,    908,   1303,   1789,   2866,   4162,   7905,  15378,  15379, 
/* msg =   6418, deg = 10 */    116,    590,   1046,   1314,   1766,   3050,   4911,   8588,  15379,  15380, 
/* msg =   6419, deg = 10 */     99,    685,   1058,   1439,   1623,   2236,   5012,   7780,  15380,  15381, 
/* msg =   6420, deg = 10 */     83,    708,    764,   1268,   1542,   1927,   5229,   8093,  15381,  15382, 
/* msg =   6421, deg = 10 */    227,    703,    754,   1120,   1766,   2957,   4369,   7168,  15382,  15383, 
/* msg =   6422, deg = 10 */    293,    596,    762,   1438,   1729,   3271,   4024,   7195,  15383,  15384, 
/* msg =   6423, deg = 10 */    226,    685,    784,   1085,   1722,   3426,   5581,   7522,  15384,  15385, 
/* msg =   6424, deg = 10 */    148,    713,    757,   1408,   1778,   2133,   5861,   7085,  15385,  15386, 
/* msg =   6425, deg = 10 */    303,    409,    786,   1241,   1717,   2689,   4395,   8001,  15386,  15387, 
/* msg =   6426, deg = 10 */    339,    689,    744,   1374,   1766,   2610,   5593,   8553,  15387,  15388, 
/* msg =   6427, deg = 10 */     75,    403,    902,   1426,   1719,   2501,   5928,   6811,  15388,  15389, 
/* msg =   6428, deg = 10 */     50,    414,    725,   1124,   1699,   1922,   4543,   8606,  15389,  15390, 
/* msg =   6429, deg = 10 */    301,    467,    907,   1242,   1753,   2484,   5276,   6361,  15390,  15391, 
/* msg =   6430, deg = 10 */    320,    695,   1070,   1303,   1774,   2869,   3921,   6150,  15391,  15392, 
/* msg =   6431, deg = 10 */    218,    592,    813,   1332,   1704,   2195,   5020,   6477,  15392,  15393, 
/* msg =   6432, deg = 10 */    108,    371,    806,   1435,   1555,   3233,   5195,   7916,  15393,  15394, 
/* msg =   6433, deg = 10 */    121,    447,    837,   1288,   1761,   2122,   4297,   6836,  15394,  15395, 
/* msg =   6434, deg = 10 */    260,    552,   1054,   1402,   1778,   3585,   5401,   6563,  15395,  15396, 
/* msg =   6435, deg = 10 */    220,    411,   1043,   1166,   1514,   3567,   3664,   8149,  15396,  15397, 
/* msg =   6436, deg = 10 */    350,    705,    771,   1408,   1450,   2934,   3744,   7530,  15398,  15399, 
/* msg =   6437, deg = 10 */    342,    683,    909,   1304,   1790,   2867,   4163,   7906,  15399,  15400, 
/* msg =   6438, deg = 10 */    117,    591,   1047,   1315,   1767,   3051,   4912,   8589,  15400,  15401, 
/* msg =   6439, deg = 10 */    100,    686,   1059,   1080,   1624,   2237,   5013,   7781,  15401,  15402, 
/* msg =   6440, deg = 10 */     84,    709,    765,   1269,   1543,   1928,   5230,   8094,  15402,  15403, 
/* msg =   6441, deg = 10 */    228,    704,    755,   1121,   1767,   2958,   4370,   7169,  15403,  15404, 
/* msg =   6442, deg = 10 */    294,    597,    763,   1439,   1730,   3272,   4025,   7196,  15404,  15405, 
/* msg =   6443, deg = 10 */    227,    686,    785,   1086,   1723,   3427,   5582,   7523,  15405,  15406, 
/* msg =   6444, deg = 10 */    149,    714,    758,   1409,   1779,   2134,   5862,   7086,  15406,  15407, 
/* msg =   6445, deg = 10 */    304,    410,    787,   1242,   1718,   2690,   4396,   8002,  15407,  15408, 
/* msg =   6446, deg = 10 */    340,    690,    745,   1375,   1767,   2611,   5594,   8554,  15408,  15409, 
/* msg =   6447, deg = 10 */     76,    404,    903,   1427,   1720,   2502,   5929,   6812,  15409,  15410, 
/* msg =   6448, deg = 10 */     51,    415,    726,   1125,   1700,   1923,   4544,   8607,  15410,  15411, 
/* msg =   6449, deg = 10 */    302,    468,    908,   1243,   1754,   2485,   5277,   6362,  15411,  15412, 
/* msg =   6450, deg = 10 */    321,    696,   1071,   1304,   1775,   2870,   3922,   6151,  15412,  15413, 
/* msg =   6451, deg = 10 */    219,    593,    814,   1333,   1705,   2196,   5021,   6478,  15413,  15414, 
/* msg =   6452, deg = 10 */    109,    372,    807,   1436,   1556,   3234,   5196,   7917,  15414,  15415, 
/* msg =   6453, deg = 10 */    122,    448,    838,   1289,   1762,   2123,   4298,   6837,  15415,  15416, 
/* msg =   6454, deg = 10 */    261,    553,   1055,   1403,   1779,   3586,   5402,   6564,  15416,  15417, 
/* msg =   6455, deg = 10 */    221,    412,   1044,   1167,   1515,   3568,   3665,   8150,  15417,  15418, 
/* msg =   6456, deg = 10 */    351,    706,    772,   1409,   1451,   2935,   3745,   7531,  15419,  15420, 
/* msg =   6457, deg = 10 */    343,    684,    910,   1305,   1791,   2868,   4164,   7907,  15420,  15421, 
/* msg =   6458, deg = 10 */    118,    592,   1048,   1316,   1768,   3052,   4913,   8590,  15421,  15422, 
/* msg =   6459, deg = 10 */    101,    687,   1060,   1081,   1625,   2238,   5014,   7782,  15422,  15423, 
/* msg =   6460, deg = 10 */     85,    710,    766,   1270,   1544,   1929,   5231,   8095,  15423,  15424, 
/* msg =   6461, deg = 10 */    229,    705,    756,   1122,   1768,   2959,   4371,   7170,  15424,  15425, 
/* msg =   6462, deg = 10 */    295,    598,    764,   1080,   1731,   3273,   4026,   7197,  15425,  15426, 
/* msg =   6463, deg = 10 */    228,    687,    786,   1087,   1724,   3428,   5583,   7524,  15426,  15427, 
/* msg =   6464, deg = 10 */    150,    715,    759,   1410,   1780,   2135,   5863,   7087,  15427,  15428, 
/* msg =   6465, deg = 10 */    305,    411,    788,   1243,   1719,   2691,   4397,   8003,  15428,  15429, 
/* msg =   6466, deg = 10 */    341,    691,    746,   1376,   1768,   2612,   5595,   8555,  15429,  15430, 
/* msg =   6467, deg = 10 */     77,    405,    904,   1428,   1721,   2503,   5930,   6813,  15430,  15431, 
/* msg =   6468, deg = 10 */     52,    416,    727,   1126,   1701,   1924,   4545,   8608,  15431,  15432, 
/* msg =   6469, deg = 10 */    303,    469,    909,   1244,   1755,   2486,   5278,   6363,  15432,  15433, 
/* msg =   6470, deg = 10 */    322,    697,   1072,   1305,   1776,   2871,   3923,   6152,  15433,  15434, 
/* msg =   6471, deg = 10 */    220,    594,    815,   1334,   1706,   2197,   5022,   6479,  15434,  15435, 
/* msg =   6472, deg = 10 */    110,    373,    808,   1437,   1557,   3235,   5197,   7918,  15435,  15436, 
/* msg =   6473, deg = 10 */    123,    449,    839,   1290,   1763,   2124,   4299,   6838,  15436,  15437, 
/* msg =   6474, deg = 10 */    262,    554,   1056,   1404,   1780,   3587,   5403,   6565,  15437,  15438, 
/* msg =   6475, deg = 10 */    222,    413,   1045,   1168,   1516,   3569,   3666,   8151,  15438,  15439, 
/* msg =   6476, deg = 10 */    352,    707,    773,   1410,   1452,   2936,   3746,   7532,  15440,  15441, 
/* msg =   6477, deg = 10 */    344,    685,    911,   1306,   1792,   2869,   4165,   7908,  15441,  15442, 
/* msg =   6478, deg = 10 */    119,    593,   1049,   1317,   1769,   3053,   4914,   8591,  15442,  15443, 
/* msg =   6479, deg = 10 */    102,    688,   1061,   1082,   1626,   2239,   5015,   7783,  15443,  15444, 
/* msg =   6480, deg = 10 */     86,    711,    767,   1271,   1545,   1930,   5232,   8096,  15444,  15445, 
/* msg =   6481, deg = 10 */    230,    706,    757,   1123,   1769,   2960,   4372,   7171,  15445,  15446, 
/* msg =   6482, deg = 10 */    296,    599,    765,   1081,   1732,   3274,   4027,   7198,  15446,  15447, 
/* msg =   6483, deg = 10 */    229,    688,    787,   1088,   1725,   3429,   5584,   7525,  15447,  15448, 
/* msg =   6484, deg = 10 */    151,    716,    760,   1411,   1781,   2136,   5864,   7088,  15448,  15449, 
/* msg =   6485, deg = 10 */    306,    412,    789,   1244,   1720,   2692,   4398,   8004,  15449,  15450, 
/* msg =   6486, deg = 10 */    342,    692,    747,   1377,   1769,   2613,   5596,   8556,  15450,  15451, 
/* msg =   6487, deg = 10 */     78,    406,    905,   1429,   1722,   2504,   5931,   6814,  15451,  15452, 
/* msg =   6488, deg = 10 */     53,    417,    728,   1127,   1702,   1925,   4546,   8609,  15452,  15453, 
/* msg =   6489, deg = 10 */    304,    470,    910,   1245,   1756,   2487,   5279,   6364,  15453,  15454, 
/* msg =   6490, deg = 10 */    323,    698,   1073,   1306,   1777,   2872,   3924,   6153,  15454,  15455, 
/* msg =   6491, deg = 10 */    221,    595,    816,   1335,   1707,   2198,   5023,   6120,  15455,  15456, 
/* msg =   6492, deg = 10 */    111,    374,    809,   1438,   1558,   3236,   5198,   7919,  15456,  15457, 
/* msg =   6493, deg = 10 */    124,    450,    840,   1291,   1764,   2125,   4300,   6839,  15457,  15458, 
/* msg =   6494, deg = 10 */    263,    555,   1057,   1405,   1781,   3588,   5404,   6566,  15458,  15459, 
/* msg =   6495, deg = 10 */    223,    414,   1046,   1169,   1517,   3570,   3667,   8152,  15459,  15460, 
/* msg =   6496, deg = 10 */    353,    708,    774,   1411,   1453,   2937,   3747,   7533,  15461,  15462, 
/* msg =   6497, deg = 10 */    345,    686,    912,   1307,   1793,   2870,   4166,   7909,  15462,  15463, 
/* msg =   6498, deg = 10 */    120,    594,   1050,   1318,   1770,   3054,   4915,   8592,  15463,  15464, 
/* msg =   6499, deg = 10 */    103,    689,   1062,   1083,   1627,   2240,   5016,   7784,  15464,  15465, 
/* msg =   6500, deg = 10 */     87,    712,    768,   1272,   1546,   1931,   5233,   8097,  15465,  15466, 
/* msg =   6501, deg = 10 */    231,    707,    758,   1124,   1770,   2961,   4373,   7172,  15466,  15467, 
/* msg =   6502, deg = 10 */    297,    600,    766,   1082,   1733,   3275,   4028,   7199,  15467,  15468, 
/* msg =   6503, deg = 10 */    230,    689,    788,   1089,   1726,   3430,   5585,   7526,  15468,  15469, 
/* msg =   6504, deg = 10 */    152,    717,    761,   1412,   1782,   2137,   5865,   7089,  15469,  15470, 
/* msg =   6505, deg = 10 */    307,    413,    790,   1245,   1721,   2693,   4399,   8005,  15470,  15471, 
/* msg =   6506, deg = 10 */    343,    693,    748,   1378,   1770,   2614,   5597,   8557,  15471,  15472, 
/* msg =   6507, deg = 10 */     79,    407,    906,   1430,   1723,   2505,   5932,   6815,  15472,  15473, 
/* msg =   6508, deg = 10 */     54,    418,    729,   1128,   1703,   1926,   4547,   8610,  15473,  15474, 
/* msg =   6509, deg = 10 */    305,    471,    911,   1246,   1757,   2488,   5280,   6365,  15474,  15475, 
/* msg =   6510, deg = 10 */    324,    699,   1074,   1307,   1778,   2873,   3925,   6154,  15475,  15476, 
/* msg =   6511, deg = 10 */    222,    596,    817,   1336,   1708,   2199,   5024,   6121,  15476,  15477, 
/* msg =   6512, deg = 10 */    112,    375,    810,   1439,   1559,   3237,   5199,   7560,  15477,  15478, 
/* msg =   6513, deg = 10 */    125,    451,    841,   1292,   1765,   2126,   4301,   6480,  15478,  15479, 
/* msg =   6514, deg = 10 */    264,    556,   1058,   1406,   1782,   3589,   5405,   6567,  15479,  15480, 
/* msg =   6515, deg = 10 */    224,    415,   1047,   1170,   1518,   3571,   3668,   8153,  15480,  15481, 
/* msg =   6516, deg = 10 */    354,    709,    775,   1412,   1454,   2938,   3748,   7534,  15482,  15483, 
/* msg =   6517, deg = 10 */    346,    687,    913,   1308,   1794,   2871,   4167,   7910,  15483,  15484, 
/* msg =   6518, deg = 10 */    121,    595,   1051,   1319,   1771,   3055,   4916,   8593,  15484,  15485, 
/* msg =   6519, deg = 10 */    104,    690,   1063,   1084,   1628,   2241,   5017,   7785,  15485,  15486, 
/* msg =   6520, deg = 10 */     88,    713,    769,   1273,   1547,   1932,   5234,   8098,  15486,  15487, 
/* msg =   6521, deg = 10 */    232,    708,    759,   1125,   1771,   2962,   4374,   7173,  15487,  15488, 
/* msg =   6522, deg = 10 */    298,    601,    767,   1083,   1734,   3276,   4029,   6840,  15488,  15489, 
/* msg =   6523, deg = 10 */    231,    690,    789,   1090,   1727,   3431,   5586,   7527,  15489,  15490, 
/* msg =   6524, deg = 10 */    153,    718,    762,   1413,   1783,   2138,   5866,   7090,  15490,  15491, 
/* msg =   6525, deg = 10 */    308,    414,    791,   1246,   1722,   2694,   4400,   8006,  15491,  15492, 
/* msg =   6526, deg = 10 */    344,    694,    749,   1379,   1771,   2615,   5598,   8558,  15492,  15493, 
/* msg =   6527, deg = 10 */     80,    408,    907,   1431,   1724,   2506,   5933,   6816,  15493,  15494, 
/* msg =   6528, deg = 10 */     55,    419,    730,   1129,   1704,   1927,   4548,   8611,  15494,  15495, 
/* msg =   6529, deg = 10 */    306,    472,    912,   1247,   1758,   2489,   5281,   6366,  15495,  15496, 
/* msg =   6530, deg = 10 */    325,    700,   1075,   1308,   1779,   2874,   3926,   6155,  15496,  15497, 
/* msg =   6531, deg = 10 */    223,    597,    818,   1337,   1709,   2200,   5025,   6122,  15497,  15498, 
/* msg =   6532, deg = 10 */    113,    376,    811,   1080,   1560,   3238,   5200,   7561,  15498,  15499, 
/* msg =   6533, deg = 10 */    126,    452,    842,   1293,   1766,   2127,   4302,   6481,  15499,  15500, 
/* msg =   6534, deg = 10 */    265,    557,   1059,   1407,   1783,   3590,   5406,   6568,  15500,  15501, 
/* msg =   6535, deg = 10 */    225,    416,   1048,   1171,   1519,   3572,   3669,   8154,  15501,  15502, 
/* msg =   6536, deg = 10 */    355,    710,    776,   1413,   1455,   2939,   3749,   7535,  15503,  15504, 
/* msg =   6537, deg = 10 */    347,    688,    914,   1309,   1795,   2872,   4168,   7911,  15504,  15505, 
/* msg =   6538, deg = 10 */    122,    596,   1052,   1320,   1772,   3056,   4917,   8594,  15505,  15506, 
/* msg =   6539, deg = 10 */    105,    691,   1064,   1085,   1629,   2242,   5018,   7786,  15506,  15507, 
/* msg =   6540, deg = 10 */     89,    714,    770,   1274,   1548,   1933,   5235,   8099,  15507,  15508, 
/* msg =   6541, deg = 10 */    233,    709,    760,   1126,   1772,   2963,   4375,   7174,  15508,  15509, 
/* msg =   6542, deg = 10 */    299,    602,    768,   1084,   1735,   3277,   4030,   6841,  15509,  15510, 
/* msg =   6543, deg = 10 */    232,    691,    790,   1091,   1728,   3432,   5587,   7528,  15510,  15511, 
/* msg =   6544, deg = 10 */    154,    719,    763,   1414,   1784,   2139,   5867,   7091,  15511,  15512, 
/* msg =   6545, deg = 10 */    309,    415,    792,   1247,   1723,   2695,   4401,   8007,  15512,  15513, 
/* msg =   6546, deg = 10 */    345,    695,    750,   1380,   1772,   2616,   5599,   8559,  15513,  15514, 
/* msg =   6547, deg = 10 */     81,    409,    908,   1432,   1725,   2507,   5934,   6817,  15514,  15515, 
/* msg =   6548, deg = 10 */     56,    420,    731,   1130,   1705,   1928,   4549,   8612,  15515,  15516, 
/* msg =   6549, deg = 10 */    307,    473,    913,   1248,   1759,   2490,   5282,   6367,  15516,  15517, 
/* msg =   6550, deg = 10 */    326,    701,   1076,   1309,   1780,   2875,   3927,   6156,  15517,  15518, 
/* msg =   6551, deg = 10 */    224,    598,    819,   1338,   1710,   2201,   5026,   6123,  15518,  15519, 
/* msg =   6552, deg = 10 */    114,    377,    812,   1081,   1561,   3239,   5201,   7562,  15519,  15520, 
/* msg =   6553, deg = 10 */    127,    453,    843,   1294,   1767,   2128,   4303,   6482,  15520,  15521, 
/* msg =   6554, deg = 10 */    266,    558,   1060,   1408,   1784,   3591,   5407,   6569,  15521,  15522, 
/* msg =   6555, deg = 10 */    226,    417,   1049,   1172,   1520,   3573,   3670,   8155,  15522,  15523, 
/* msg =   6556, deg = 10 */    356,    711,    777,   1414,   1456,   2940,   3750,   7536,  15524,  15525, 
/* msg =   6557, deg = 10 */    348,    689,    915,   1310,   1796,   2873,   4169,   7912,  15525,  15526, 
/* msg =   6558, deg = 10 */    123,    597,   1053,   1321,   1773,   3057,   4918,   8595,  15526,  15527, 
/* msg =   6559, deg = 10 */    106,    692,   1065,   1086,   1630,   2243,   5019,   7787,  15527,  15528, 
/* msg =   6560, deg = 10 */     90,    715,    771,   1275,   1549,   1934,   5236,   8100,  15528,  15529, 
/* msg =   6561, deg = 10 */    234,    710,    761,   1127,   1773,   2964,   4376,   7175,  15529,  15530, 
/* msg =   6562, deg = 10 */    300,    603,    769,   1085,   1736,   3278,   4031,   6842,  15530,  15531, 
/* msg =   6563, deg = 10 */    233,    692,    791,   1092,   1729,   3433,   5588,   7529,  15531,  15532, 
/* msg =   6564, deg = 10 */    155,    360,    764,   1415,   1785,   2140,   5868,   7092,  15532,  15533, 
/* msg =   6565, deg = 10 */    310,    416,    793,   1248,   1724,   2696,   4402,   8008,  15533,  15534, 
/* msg =   6566, deg = 10 */    346,    696,    751,   1381,   1773,   2617,   5600,   8560,  15534,  15535, 
/* msg =   6567, deg = 10 */     82,    410,    909,   1433,   1726,   2508,   5935,   6818,  15535,  15536, 
/* msg =   6568, deg = 10 */     57,    421,    732,   1131,   1706,   1929,   4550,   8613,  15536,  15537, 
/* msg =   6569, deg = 10 */    308,    474,    914,   1249,   1760,   2491,   5283,   6368,  15537,  15538, 
/* msg =   6570, deg = 10 */    327,    702,   1077,   1310,   1781,   2876,   3928,   6157,  15538,  15539, 
/* msg =   6571, deg = 10 */    225,    599,    820,   1339,   1711,   2202,   5027,   6124,  15539,  15540, 
/* msg =   6572, deg = 10 */    115,    378,    813,   1082,   1562,   2880,   5202,   7563,  15540,  15541, 
/* msg =   6573, deg = 10 */    128,    454,    844,   1295,   1768,   2129,   4304,   6483,  15541,  15542, 
/* msg =   6574, deg = 10 */    267,    559,   1061,   1409,   1785,   3592,   5408,   6570,  15542,  15543, 
/* msg =   6575, deg = 10 */    227,    418,   1050,   1173,   1521,   3574,   3671,   8156,  15543,  15544, 
/* msg =   6576, deg = 10 */    357,    712,    778,   1415,   1457,   2941,   3751,   7537,  15545,  15546, 
/* msg =   6577, deg = 10 */    349,    690,    916,   1311,   1797,   2874,   4170,   7913,  15546,  15547, 
/* msg =   6578, deg = 10 */    124,    598,   1054,   1322,   1774,   3058,   4919,   8596,  15547,  15548, 
/* msg =   6579, deg = 10 */    107,    693,   1066,   1087,   1631,   2244,   5020,   7788,  15548,  15549, 
/* msg =   6580, deg = 10 */     91,    716,    772,   1276,   1550,   1935,   5237,   8101,  15549,  15550, 
/* msg =   6581, deg = 10 */    235,    711,    762,   1128,   1774,   2965,   4377,   7176,  15550,  15551, 
/* msg =   6582, deg = 10 */    301,    604,    770,   1086,   1737,   3279,   4032,   6843,  15551,  15552, 
/* msg =   6583, deg = 10 */    234,    693,    792,   1093,   1730,   3434,   5589,   7530,  15552,  15553, 
/* msg =   6584, deg = 10 */    156,    361,    765,   1416,   1786,   2141,   5869,   7093,  15553,  15554, 
/* msg =   6585, deg = 10 */    311,    417,    794,   1249,   1725,   2697,   4403,   8009,  15554,  15555, 
/* msg =   6586, deg = 10 */    347,    697,    752,   1382,   1774,   2618,   5601,   8561,  15555,  15556, 
/* msg =   6587, deg = 10 */     83,    411,    910,   1434,   1727,   2509,   5936,   6819,  15556,  15557, 
/* msg =   6588, deg = 10 */     58,    422,    733,   1132,   1707,   1930,   4551,   8614,  15557,  15558, 
/* msg =   6589, deg = 10 */    309,    475,    915,   1250,   1761,   2492,   5284,   6369,  15558,  15559, 
/* msg =   6590, deg = 10 */    328,    703,   1078,   1311,   1782,   2877,   3929,   6158,  15559,  15560, 
/* msg =   6591, deg = 10 */    226,    600,    821,   1340,   1712,   2203,   5028,   6125,  15560,  15561, 
/* msg =   6592, deg = 10 */    116,    379,    814,   1083,   1563,   2881,   5203,   7564,  15561,  15562, 
/* msg =   6593, deg = 10 */    129,    455,    845,   1296,   1769,   2130,   4305,   6484,  15562,  15563, 
/* msg =   6594, deg = 10 */    268,    560,   1062,   1410,   1786,   3593,   5409,   6571,  15563,  15564, 
/* msg =   6595, deg = 10 */    228,    419,   1051,   1174,   1522,   3575,   3672,   8157,  15564,  15565, 
/* msg =   6596, deg = 10 */    358,    713,    779,   1416,   1458,   2942,   3752,   7538,  15566,  15567, 
/* msg =   6597, deg = 10 */    350,    691,    917,   1312,   1798,   2875,   4171,   7914,  15567,  15568, 
/* msg =   6598, deg = 10 */    125,    599,   1055,   1323,   1775,   3059,   4920,   8597,  15568,  15569, 
/* msg =   6599, deg = 10 */    108,    694,   1067,   1088,   1632,   2245,   5021,   7789,  15569,  15570, 
/* msg =   6600, deg = 10 */     92,    717,    773,   1277,   1551,   1936,   5238,   8102,  15570,  15571, 
/* msg =   6601, deg = 10 */    236,    712,    763,   1129,   1775,   2966,   4378,   7177,  15571,  15572, 
/* msg =   6602, deg = 10 */    302,    605,    771,   1087,   1738,   3280,   4033,   6844,  15572,  15573, 
/* msg =   6603, deg = 10 */    235,    694,    793,   1094,   1731,   3435,   5590,   7531,  15573,  15574, 
/* msg =   6604, deg = 10 */    157,    362,    766,   1417,   1787,   2142,   5870,   7094,  15574,  15575, 
/* msg =   6605, deg = 10 */    312,    418,    795,   1250,   1726,   2698,   4404,   8010,  15575,  15576, 
/* msg =   6606, deg = 10 */    348,    698,    753,   1383,   1775,   2619,   5602,   8562,  15576,  15577, 
/* msg =   6607, deg = 10 */     84,    412,    911,   1435,   1728,   2510,   5937,   6820,  15577,  15578, 
/* msg =   6608, deg = 10 */     59,    423,    734,   1133,   1708,   1931,   4552,   8615,  15578,  15579, 
/* msg =   6609, deg = 10 */    310,    476,    916,   1251,   1762,   2493,   5285,   6370,  15579,  15580, 
/* msg =   6610, deg = 10 */    329,    704,   1079,   1312,   1783,   2878,   3930,   6159,  15580,  15581, 
/* msg =   6611, deg = 10 */    227,    601,    822,   1341,   1713,   2204,   5029,   6126,  15581,  15582, 
/* msg =   6612, deg = 10 */    117,    380,    815,   1084,   1564,   2882,   5204,   7565,  15582,  15583, 
/* msg =   6613, deg = 10 */    130,    456,    846,   1297,   1770,   2131,   4306,   6485,  15583,  15584, 
/* msg =   6614, deg = 10 */    269,    561,   1063,   1411,   1787,   3594,   5410,   6572,  15584,  15585, 
/* msg =   6615, deg = 10 */    229,    420,   1052,   1175,   1523,   3576,   3673,   8158,  15585,  15586, 
/* msg =   6616, deg = 10 */    359,    714,    780,   1417,   1459,   2943,   3753,   7539,  15587,  15588, 
/* msg =   6617, deg = 10 */    351,    692,    918,   1313,   1799,   2876,   4172,   7915,  15588,  15589, 
/* msg =   6618, deg = 10 */    126,    600,   1056,   1324,   1776,   3060,   4921,   8598,  15589,  15590, 
/* msg =   6619, deg = 10 */    109,    695,   1068,   1089,   1633,   2246,   5022,   7790,  15590,  15591, 
/* msg =   6620, deg = 10 */     93,    718,    774,   1278,   1552,   1937,   5239,   8103,  15591,  15592, 
/* msg =   6621, deg = 10 */    237,    713,    764,   1130,   1776,   2967,   4379,   7178,  15592,  15593, 
/* msg =   6622, deg = 10 */    303,    606,    772,   1088,   1739,   3281,   4034,   6845,  15593,  15594, 
/* msg =   6623, deg = 10 */    236,    695,    794,   1095,   1732,   3436,   5591,   7532,  15594,  15595, 
/* msg =   6624, deg = 10 */    158,    363,    767,   1418,   1788,   2143,   5871,   7095,  15595,  15596, 
/* msg =   6625, deg = 10 */    313,    419,    796,   1251,   1727,   2699,   4405,   8011,  15596,  15597, 
/* msg =   6626, deg = 10 */    349,    699,    754,   1384,   1776,   2620,   5603,   8563,  15597,  15598, 
/* msg =   6627, deg = 10 */     85,    413,    912,   1436,   1729,   2511,   5938,   6821,  15598,  15599, 
/* msg =   6628, deg = 10 */     60,    424,    735,   1134,   1709,   1932,   4553,   8616,  15599,  15600, 
/* msg =   6629, deg = 10 */    311,    477,    917,   1252,   1763,   2494,   5286,   6371,  15600,  15601, 
/* msg =   6630, deg = 10 */    330,    705,    720,   1313,   1784,   2879,   3931,   6160,  15601,  15602, 
/* msg =   6631, deg = 10 */    228,    602,    823,   1342,   1714,   2205,   5030,   6127,  15602,  15603, 
/* msg =   6632, deg = 10 */    118,    381,    816,   1085,   1565,   2883,   5205,   7566,  15603,  15604, 
/* msg =   6633, deg = 10 */    131,    457,    847,   1298,   1771,   2132,   4307,   6486,  15604,  15605, 
/* msg =   6634, deg = 10 */    270,    562,   1064,   1412,   1788,   3595,   5411,   6573,  15605,  15606, 
/* msg =   6635, deg = 10 */    230,    421,   1053,   1176,   1524,   3577,   3674,   8159,  15606,  15607, 
/* msg =   6636, deg = 10 */      0,    715,    781,   1418,   1460,   2944,   3754,   7540,  15608,  15609, 
/* msg =   6637, deg = 10 */    352,    693,    919,   1314,   1440,   2877,   4173,   7916,  15609,  15610, 
/* msg =   6638, deg = 10 */    127,    601,   1057,   1325,   1777,   3061,   4922,   8599,  15610,  15611, 
/* msg =   6639, deg = 10 */    110,    696,   1069,   1090,   1634,   2247,   5023,   7791,  15611,  15612, 
/* msg =   6640, deg = 10 */     94,    719,    775,   1279,   1553,   1938,   5240,   8104,  15612,  15613, 
/* msg =   6641, deg = 10 */    238,    714,    765,   1131,   1777,   2968,   4380,   7179,  15613,  15614, 
/* msg =   6642, deg = 10 */    304,    607,    773,   1089,   1740,   3282,   4035,   6846,  15614,  15615, 
/* msg =   6643, deg = 10 */    237,    696,    795,   1096,   1733,   3437,   5592,   7533,  15615,  15616, 
/* msg =   6644, deg = 10 */    159,    364,    768,   1419,   1789,   2144,   5872,   7096,  15616,  15617, 
/* msg =   6645, deg = 10 */    314,    420,    797,   1252,   1728,   2700,   4406,   8012,  15617,  15618, 
/* msg =   6646, deg = 10 */    350,    700,    755,   1385,   1777,   2621,   5604,   8564,  15618,  15619, 
/* msg =   6647, deg = 10 */     86,    414,    913,   1437,   1730,   2512,   5939,   6822,  15619,  15620, 
/* msg =   6648, deg = 10 */     61,    425,    736,   1135,   1710,   1933,   4554,   8617,  15620,  15621, 
/* msg =   6649, deg = 10 */    312,    478,    918,   1253,   1764,   2495,   5287,   6372,  15621,  15622, 
/* msg =   6650, deg = 10 */    331,    706,    721,   1314,   1785,   2520,   3932,   6161,  15622,  15623, 
/* msg =   6651, deg = 10 */    229,    603,    824,   1343,   1715,   2206,   5031,   6128,  15623,  15624, 
/* msg =   6652, deg = 10 */    119,    382,    817,   1086,   1566,   2884,   5206,   7567,  15624,  15625, 
/* msg =   6653, deg = 10 */    132,    458,    848,   1299,   1772,   2133,   4308,   6487,  15625,  15626, 
/* msg =   6654, deg = 10 */    271,    563,   1065,   1413,   1789,   3596,   5412,   6574,  15626,  15627, 
/* msg =   6655, deg = 10 */    231,    422,   1054,   1177,   1525,   3578,   3675,   8160,  15627,  15628, 
/* msg =   6656, deg = 10 */      1,    716,    782,   1419,   1461,   2945,   3755,   7541,  15629,  15630, 
/* msg =   6657, deg = 10 */    353,    694,    920,   1315,   1441,   2878,   4174,   7917,  15630,  15631, 
/* msg =   6658, deg = 10 */    128,    602,   1058,   1326,   1778,   3062,   4923,   8600,  15631,  15632, 
/* msg =   6659, deg = 10 */    111,    697,   1070,   1091,   1635,   2248,   5024,   7792,  15632,  15633, 
/* msg =   6660, deg = 10 */     95,    360,    776,   1280,   1554,   1939,   5241,   8105,  15633,  15634, 
/* msg =   6661, deg = 10 */    239,    715,    766,   1132,   1778,   2969,   4381,   7180,  15634,  15635, 
/* msg =   6662, deg = 10 */    305,    608,    774,   1090,   1741,   3283,   4036,   6847,  15635,  15636, 
/* msg =   6663, deg = 10 */    238,    697,    796,   1097,   1734,   3438,   5593,   7534,  15636,  15637, 
/* msg =   6664, deg = 10 */    160,    365,    769,   1420,   1790,   2145,   5873,   7097,  15637,  15638, 
/* msg =   6665, deg = 10 */    315,    421,    798,   1253,   1729,   2701,   4407,   8013,  15638,  15639, 
/* msg =   6666, deg = 10 */    351,    701,    756,   1386,   1778,   2622,   5605,   8565,  15639,  15640, 
/* msg =   6667, deg = 10 */     87,    415,    914,   1438,   1731,   2513,   5940,   6823,  15640,  15641, 
/* msg =   6668, deg = 10 */     62,    426,    737,   1136,   1711,   1934,   4555,   8618,  15641,  15642, 
/* msg =   6669, deg = 10 */    313,    479,    919,   1254,   1765,   2496,   5288,   6373,  15642,  15643, 
/* msg =   6670, deg = 10 */    332,    707,    722,   1315,   1786,   2521,   3933,   6162,  15643,  15644, 
/* msg =   6671, deg = 10 */    230,    604,    825,   1344,   1716,   2207,   5032,   6129,  15644,  15645, 
/* msg =   6672, deg = 10 */    120,    383,    818,   1087,   1567,   2885,   5207,   7568,  15645,  15646, 
/* msg =   6673, deg = 10 */    133,    459,    849,   1300,   1773,   2134,   4309,   6488,  15646,  15647, 
/* msg =   6674, deg = 10 */    272,    564,   1066,   1414,   1790,   3597,   5413,   6575,  15647,  15648, 
/* msg =   6675, deg = 10 */    232,    423,   1055,   1178,   1526,   3579,   3676,   8161,  15648,  15649, 
/* msg =   6676, deg = 10 */      2,    717,    783,   1420,   1462,   2946,   3756,   7542,  15650,  15651, 
/* msg =   6677, deg = 10 */    354,    695,    921,   1316,   1442,   2879,   4175,   7918,  15651,  15652, 
/* msg =   6678, deg = 10 */    129,    603,   1059,   1327,   1779,   3063,   4924,   8601,  15652,  15653, 
/* msg =   6679, deg = 10 */    112,    698,   1071,   1092,   1636,   2249,   5025,   7793,  15653,  15654, 
/* msg =   6680, deg = 10 */     96,    361,    777,   1281,   1555,   1940,   5242,   8106,  15654,  15655, 
/* msg =   6681, deg = 10 */    240,    716,    767,   1133,   1779,   2970,   4382,   7181,  15655,  15656, 
/* msg =   6682, deg = 10 */    306,    609,    775,   1091,   1742,   3284,   4037,   6848,  15656,  15657, 
/* msg =   6683, deg = 10 */    239,    698,    797,   1098,   1735,   3439,   5594,   7535,  15657,  15658, 
/* msg =   6684, deg = 10 */    161,    366,    770,   1421,   1791,   2146,   5874,   7098,  15658,  15659, 
/* msg =   6685, deg = 10 */    316,    422,    799,   1254,   1730,   2702,   4408,   8014,  15659,  15660, 
/* msg =   6686, deg = 10 */    352,    702,    757,   1387,   1779,   2623,   5606,   8566,  15660,  15661, 
/* msg =   6687, deg = 10 */     88,    416,    915,   1439,   1732,   2514,   5941,   6824,  15661,  15662, 
/* msg =   6688, deg = 10 */     63,    427,    738,   1137,   1712,   1935,   4556,   8619,  15662,  15663, 
/* msg =   6689, deg = 10 */    314,    480,    920,   1255,   1766,   2497,   5289,   6374,  15663,  15664, 
/* msg =   6690, deg = 10 */    333,    708,    723,   1316,   1787,   2522,   3934,   6163,  15664,  15665, 
/* msg =   6691, deg = 10 */    231,    605,    826,   1345,   1717,   2208,   5033,   6130,  15665,  15666, 
/* msg =   6692, deg = 10 */    121,    384,    819,   1088,   1568,   2886,   5208,   7569,  15666,  15667, 
/* msg =   6693, deg = 10 */    134,    460,    850,   1301,   1774,   2135,   4310,   6489,  15667,  15668, 
/* msg =   6694, deg = 10 */    273,    565,   1067,   1415,   1791,   3598,   5414,   6576,  15668,  15669, 
/* msg =   6695, deg = 10 */    233,    424,   1056,   1179,   1527,   3580,   3677,   8162,  15669,  15670, 
/* msg =   6696, deg = 10 */      3,    718,    784,   1421,   1463,   2947,   3757,   7543,  15671,  15672, 
/* msg =   6697, deg = 10 */    355,    696,    922,   1317,   1443,   2520,   4176,   7919,  15672,  15673, 
/* msg =   6698, deg = 10 */    130,    604,   1060,   1328,   1780,   3064,   4925,   8602,  15673,  15674, 
/* msg =   6699, deg = 10 */    113,    699,   1072,   1093,   1637,   2250,   5026,   7794,  15674,  15675, 
/* msg =   6700, deg = 10 */     97,    362,    778,   1282,   1556,   1941,   5243,   8107,  15675,  15676, 
/* msg =   6701, deg = 10 */    241,    717,    768,   1134,   1780,   2971,   4383,   7182,  15676,  15677, 
/* msg =   6702, deg = 10 */    307,    610,    776,   1092,   1743,   3285,   4038,   6849,  15677,  15678, 
/* msg =   6703, deg = 10 */    240,    699,    798,   1099,   1736,   3440,   5595,   7536,  15678,  15679, 
/* msg =   6704, deg = 10 */    162,    367,    771,   1422,   1792,   2147,   5875,   7099,  15679,  15680, 
/* msg =   6705, deg = 10 */    317,    423,    800,   1255,   1731,   2703,   4409,   8015,  15680,  15681, 
/* msg =   6706, deg = 10 */    353,    703,    758,   1388,   1780,   2624,   5607,   8567,  15681,  15682, 
/* msg =   6707, deg = 10 */     89,    417,    916,   1080,   1733,   2515,   5942,   6825,  15682,  15683, 
/* msg =   6708, deg = 10 */     64,    428,    739,   1138,   1713,   1936,   4557,   8620,  15683,  15684, 
/* msg =   6709, deg = 10 */    315,    481,    921,   1256,   1767,   2498,   5290,   6375,  15684,  15685, 
/* msg =   6710, deg = 10 */    334,    709,    724,   1317,   1788,   2523,   3935,   6164,  15685,  15686, 
/* msg =   6711, deg = 10 */    232,    606,    827,   1346,   1718,   2209,   5034,   6131,  15686,  15687, 
/* msg =   6712, deg = 10 */    122,    385,    820,   1089,   1569,   2887,   5209,   7570,  15687,  15688, 
/* msg =   6713, deg = 10 */    135,    461,    851,   1302,   1775,   2136,   4311,   6490,  15688,  15689, 
/* msg =   6714, deg = 10 */    274,    566,   1068,   1416,   1792,   3599,   5415,   6577,  15689,  15690, 
/* msg =   6715, deg = 10 */    234,    425,   1057,   1180,   1528,   3581,   3678,   8163,  15690,  15691, 
/* msg =   6716, deg = 10 */      4,    719,    785,   1422,   1464,   2948,   3758,   7544,  15692,  15693, 
/* msg =   6717, deg = 10 */    356,    697,    923,   1318,   1444,   2521,   4177,   7560,  15693,  15694, 
/* msg =   6718, deg = 10 */    131,    605,   1061,   1329,   1781,   3065,   4926,   8603,  15694,  15695, 
/* msg =   6719, deg = 10 */    114,    700,   1073,   1094,   1638,   2251,   5027,   7795,  15695,  15696, 
/* msg =   6720, deg = 10 */     98,    363,    779,   1283,   1557,   1942,   5244,   8108,  15696,  15697, 
/* msg =   6721, deg = 10 */    242,    718,    769,   1135,   1781,   2972,   4384,   7183,  15697,  15698, 
/* msg =   6722, deg = 10 */    308,    611,    777,   1093,   1744,   3286,   4039,   6850,  15698,  15699, 
/* msg =   6723, deg = 10 */    241,    700,    799,   1100,   1737,   3441,   5596,   7537,  15699,  15700, 
/* msg =   6724, deg = 10 */    163,    368,    772,   1423,   1793,   2148,   5876,   7100,  15700,  15701, 
/* msg =   6725, deg = 10 */    318,    424,    801,   1256,   1732,   2704,   4410,   8016,  15701,  15702, 
/* msg =   6726, deg = 10 */    354,    704,    759,   1389,   1781,   2625,   5608,   8568,  15702,  15703, 
/* msg =   6727, deg = 10 */     90,    418,    917,   1081,   1734,   2516,   5943,   6826,  15703,  15704, 
/* msg =   6728, deg = 10 */     65,    429,    740,   1139,   1714,   1937,   4558,   8621,  15704,  15705, 
/* msg =   6729, deg = 10 */    316,    482,    922,   1257,   1768,   2499,   5291,   6376,  15705,  15706, 
/* msg =   6730, deg = 10 */    335,    710,    725,   1318,   1789,   2524,   3936,   6165,  15706,  15707, 
/* msg =   6731, deg = 10 */    233,    607,    828,   1347,   1719,   2210,   5035,   6132,  15707,  15708, 
/* msg =   6732, deg = 10 */    123,    386,    821,   1090,   1570,   2888,   5210,   7571,  15708,  15709, 
/* msg =   6733, deg = 10 */    136,    462,    852,   1303,   1776,   2137,   4312,   6491,  15709,  15710, 
/* msg =   6734, deg = 10 */    275,    567,   1069,   1417,   1793,   3240,   5416,   6578,  15710,  15711, 
/* msg =   6735, deg = 10 */    235,    426,   1058,   1181,   1529,   3582,   3679,   8164,  15711,  15712, 
/* msg =   6736, deg = 10 */      5,    360,    786,   1423,   1465,   2949,   3759,   7545,  15713,  15714, 
/* msg =   6737, deg = 10 */    357,    698,    924,   1319,   1445,   2522,   4178,   7561,  15714,  15715, 
/* msg =   6738, deg = 10 */    132,    606,   1062,   1330,   1782,   3066,   4927,   8604,  15715,  15716, 
/* msg =   6739, deg = 10 */    115,    701,   1074,   1095,   1639,   2252,   5028,   7796,  15716,  15717, 
/* msg =   6740, deg = 10 */     99,    364,    780,   1284,   1558,   1943,   5245,   8109,  15717,  15718, 
/* msg =   6741, deg = 10 */    243,    719,    770,   1136,   1782,   2973,   4385,   7184,  15718,  15719, 
/* msg =   6742, deg = 10 */    309,    612,    778,   1094,   1745,   3287,   4040,   6851,  15719,  15720, 
/* msg =   6743, deg = 10 */    242,    701,    800,   1101,   1738,   3442,   5597,   7538,  15720,  15721, 
/* msg =   6744, deg = 10 */    164,    369,    773,   1424,   1794,   2149,   5877,   7101,  15721,  15722, 
/* msg =   6745, deg = 10 */    319,    425,    802,   1257,   1733,   2705,   4411,   8017,  15722,  15723, 
/* msg =   6746, deg = 10 */    355,    705,    760,   1390,   1782,   2626,   5609,   8569,  15723,  15724, 
/* msg =   6747, deg = 10 */     91,    419,    918,   1082,   1735,   2517,   5944,   6827,  15724,  15725, 
/* msg =   6748, deg = 10 */     66,    430,    741,   1140,   1715,   1938,   4559,   8622,  15725,  15726, 
/* msg =   6749, deg = 10 */    317,    483,    923,   1258,   1769,   2500,   5292,   6377,  15726,  15727, 
/* msg =   6750, deg = 10 */    336,    711,    726,   1319,   1790,   2525,   3937,   6166,  15727,  15728, 
/* msg =   6751, deg = 10 */    234,    608,    829,   1348,   1720,   2211,   5036,   6133,  15728,  15729, 
/* msg =   6752, deg = 10 */    124,    387,    822,   1091,   1571,   2889,   5211,   7572,  15729,  15730, 
/* msg =   6753, deg = 10 */    137,    463,    853,   1304,   1777,   2138,   4313,   6492,  15730,  15731, 
/* msg =   6754, deg = 10 */    276,    568,   1070,   1418,   1794,   3241,   5417,   6579,  15731,  15732, 
/* msg =   6755, deg = 10 */    236,    427,   1059,   1182,   1530,   3583,   3680,   8165,  15732,  15733, 
/* msg =   6756, deg = 10 */      6,    361,    787,   1424,   1466,   2950,   3760,   7546,  15734,  15735, 
/* msg =   6757, deg = 10 */    358,    699,    925,   1320,   1446,   2523,   4179,   7562,  15735,  15736, 
/* msg =   6758, deg = 10 */    133,    607,   1063,   1331,   1783,   3067,   4928,   8605,  15736,  15737, 
/* msg =   6759, deg = 10 */    116,    702,   1075,   1096,   1640,   2253,   5029,   7797,  15737,  15738, 
/* msg =   6760, deg = 10 */    100,    365,    781,   1285,   1559,   1944,   5246,   8110,  15738,  15739, 
/* msg =   6761, deg = 10 */    244,    360,    771,   1137,   1783,   2974,   4386,   7185,  15739,  15740, 
/* msg =   6762, deg = 10 */    310,    613,    779,   1095,   1746,   3288,   4041,   6852,  15740,  15741, 
/* msg =   6763, deg = 10 */    243,    702,    801,   1102,   1739,   3443,   5598,   7539,  15741,  15742, 
/* msg =   6764, deg = 10 */    165,    370,    774,   1425,   1795,   2150,   5878,   7102,  15742,  15743, 
/* msg =   6765, deg = 10 */    320,    426,    803,   1258,   1734,   2706,   4412,   8018,  15743,  15744, 
/* msg =   6766, deg = 10 */    356,    706,    761,   1391,   1783,   2627,   5610,   8570,  15744,  15745, 
/* msg =   6767, deg = 10 */     92,    420,    919,   1083,   1736,   2518,   5945,   6828,  15745,  15746, 
/* msg =   6768, deg = 10 */     67,    431,    742,   1141,   1716,   1939,   4560,   8623,  15746,  15747, 
/* msg =   6769, deg = 10 */    318,    484,    924,   1259,   1770,   2501,   5293,   6378,  15747,  15748, 
/* msg =   6770, deg = 10 */    337,    712,    727,   1320,   1791,   2526,   3938,   6167,  15748,  15749, 
/* msg =   6771, deg = 10 */    235,    609,    830,   1349,   1721,   2212,   5037,   6134,  15749,  15750, 
/* msg =   6772, deg = 10 */    125,    388,    823,   1092,   1572,   2890,   5212,   7573,  15750,  15751, 
/* msg =   6773, deg = 10 */    138,    464,    854,   1305,   1778,   2139,   4314,   6493,  15751,  15752, 
/* msg =   6774, deg = 10 */    277,    569,   1071,   1419,   1795,   3242,   5418,   6580,  15752,  15753, 
/* msg =   6775, deg = 10 */    237,    428,   1060,   1183,   1531,   3584,   3681,   8166,  15753,  15754, 
/* msg =   6776, deg = 10 */      7,    362,    788,   1425,   1467,   2951,   3761,   7547,  15755,  15756, 
/* msg =   6777, deg = 10 */    359,    700,    926,   1321,   1447,   2524,   4180,   7563,  15756,  15757, 
/* msg =   6778, deg = 10 */    134,    608,   1064,   1332,   1784,   3068,   4929,   8606,  15757,  15758, 
/* msg =   6779, deg = 10 */    117,    703,   1076,   1097,   1641,   2254,   5030,   7798,  15758,  15759, 
/* msg =   6780, deg = 10 */    101,    366,    782,   1286,   1560,   1945,   5247,   8111,  15759,  15760, 
/* msg =   6781, deg = 10 */    245,    361,    772,   1138,   1784,   2975,   4387,   7186,  15760,  15761, 
/* msg =   6782, deg = 10 */    311,    614,    780,   1096,   1747,   3289,   4042,   6853,  15761,  15762, 
/* msg =   6783, deg = 10 */    244,    703,    802,   1103,   1740,   3444,   5599,   7540,  15762,  15763, 
/* msg =   6784, deg = 10 */    166,    371,    775,   1426,   1796,   2151,   5879,   7103,  15763,  15764, 
/* msg =   6785, deg = 10 */    321,    427,    804,   1259,   1735,   2707,   4413,   8019,  15764,  15765, 
/* msg =   6786, deg = 10 */    357,    707,    762,   1392,   1784,   2628,   5611,   8571,  15765,  15766, 
/* msg =   6787, deg = 10 */     93,    421,    920,   1084,   1737,   2519,   5946,   6829,  15766,  15767, 
/* msg =   6788, deg = 10 */     68,    432,    743,   1142,   1717,   1940,   4561,   8624,  15767,  15768, 
/* msg =   6789, deg = 10 */    319,    485,    925,   1260,   1771,   2502,   5294,   6379,  15768,  15769, 
/* msg =   6790, deg = 10 */    338,    713,    728,   1321,   1792,   2527,   3939,   6168,  15769,  15770, 
/* msg =   6791, deg = 10 */    236,    610,    831,   1350,   1722,   2213,   5038,   6135,  15770,  15771, 
/* msg =   6792, deg = 10 */    126,    389,    824,   1093,   1573,   2891,   5213,   7574,  15771,  15772, 
/* msg =   6793, deg = 10 */    139,    465,    855,   1306,   1779,   2140,   4315,   6494,  15772,  15773, 
/* msg =   6794, deg = 10 */    278,    570,   1072,   1420,   1796,   3243,   5419,   6581,  15773,  15774, 
/* msg =   6795, deg = 10 */    238,    429,   1061,   1184,   1532,   3585,   3682,   8167,  15774,  15775, 
/* msg =   6796, deg = 10 */      8,    363,    789,   1426,   1468,   2952,   3762,   7548,  15776,  15777, 
/* msg =   6797, deg = 10 */      0,    701,    927,   1322,   1448,   2525,   4181,   7564,  15777,  15778, 
/* msg =   6798, deg = 10 */    135,    609,   1065,   1333,   1785,   3069,   4930,   8607,  15778,  15779, 
/* msg =   6799, deg = 10 */    118,    704,   1077,   1098,   1642,   2255,   5031,   7799,  15779,  15780, 
/* msg =   6800, deg = 10 */    102,    367,    783,   1287,   1561,   1946,   5248,   8112,  15780,  15781, 
/* msg =   6801, deg = 10 */    246,    362,    773,   1139,   1785,   2976,   4388,   7187,  15781,  15782, 
/* msg =   6802, deg = 10 */    312,    615,    781,   1097,   1748,   3290,   4043,   6854,  15782,  15783, 
/* msg =   6803, deg = 10 */    245,    704,    803,   1104,   1741,   3445,   5600,   7541,  15783,  15784, 
/* msg =   6804, deg = 10 */    167,    372,    776,   1427,   1797,   2152,   5880,   7104,  15784,  15785, 
/* msg =   6805, deg = 10 */    322,    428,    805,   1260,   1736,   2708,   4414,   8020,  15785,  15786, 
/* msg =   6806, deg = 10 */    358,    708,    763,   1393,   1785,   2629,   5612,   8572,  15786,  15787, 
/* msg =   6807, deg = 10 */     94,    422,    921,   1085,   1738,   2160,   5947,   6830,  15787,  15788, 
/* msg =   6808, deg = 10 */     69,    433,    744,   1143,   1718,   1941,   4562,   8625,  15788,  15789, 
/* msg =   6809, deg = 10 */    320,    486,    926,   1261,   1772,   2503,   5295,   6380,  15789,  15790, 
/* msg =   6810, deg = 10 */    339,    714,    729,   1322,   1793,   2528,   3940,   6169,  15790,  15791, 
/* msg =   6811, deg = 10 */    237,    611,    832,   1351,   1723,   2214,   5039,   6136,  15791,  15792, 
/* msg =   6812, deg = 10 */    127,    390,    825,   1094,   1574,   2892,   5214,   7575,  15792,  15793, 
/* msg =   6813, deg = 10 */    140,    466,    856,   1307,   1780,   2141,   4316,   6495,  15793,  15794, 
/* msg =   6814, deg = 10 */    279,    571,   1073,   1421,   1797,   3244,   5420,   6582,  15794,  15795, 
/* msg =   6815, deg = 10 */    239,    430,   1062,   1185,   1533,   3586,   3683,   8168,  15795,  15796, 
/* msg =   6816, deg = 10 */      9,    364,    790,   1427,   1469,   2953,   3763,   7549,  15797,  15798, 
/* msg =   6817, deg = 10 */      1,    702,    928,   1323,   1449,   2526,   4182,   7565,  15798,  15799, 
/* msg =   6818, deg = 10 */    136,    610,   1066,   1334,   1786,   3070,   4931,   8608,  15799,  15800, 
/* msg =   6819, deg = 10 */    119,    705,   1078,   1099,   1643,   2256,   5032,   7800,  15800,  15801, 
/* msg =   6820, deg = 10 */    103,    368,    784,   1288,   1562,   1947,   5249,   8113,  15801,  15802, 
/* msg =   6821, deg = 10 */    247,    363,    774,   1140,   1786,   2977,   4389,   7188,  15802,  15803, 
/* msg =   6822, deg = 10 */    313,    616,    782,   1098,   1749,   3291,   4044,   6855,  15803,  15804, 
/* msg =   6823, deg = 10 */    246,    705,    804,   1105,   1742,   3446,   5601,   7542,  15804,  15805, 
/* msg =   6824, deg = 10 */    168,    373,    777,   1428,   1798,   2153,   5881,   7105,  15805,  15806, 
/* msg =   6825, deg = 10 */    323,    429,    806,   1261,   1737,   2709,   4415,   8021,  15806,  15807, 
/* msg =   6826, deg = 10 */    359,    709,    764,   1394,   1786,   2630,   5613,   8573,  15807,  15808, 
/* msg =   6827, deg = 10 */     95,    423,    922,   1086,   1739,   2161,   5948,   6831,  15808,  15809, 
/* msg =   6828, deg = 10 */     70,    434,    745,   1144,   1719,   1942,   4563,   8626,  15809,  15810, 
/* msg =   6829, deg = 10 */    321,    487,    927,   1262,   1773,   2504,   5296,   6381,  15810,  15811, 
/* msg =   6830, deg = 10 */    340,    715,    730,   1323,   1794,   2529,   3941,   6170,  15811,  15812, 
/* msg =   6831, deg = 10 */    238,    612,    833,   1352,   1724,   2215,   4680,   6137,  15812,  15813, 
/* msg =   6832, deg = 10 */    128,    391,    826,   1095,   1575,   2893,   5215,   7576,  15813,  15814, 
/* msg =   6833, deg = 10 */    141,    467,    857,   1308,   1781,   2142,   4317,   6496,  15814,  15815, 
/* msg =   6834, deg = 10 */    280,    572,   1074,   1422,   1798,   3245,   5421,   6583,  15815,  15816, 
/* msg =   6835, deg = 10 */    240,    431,   1063,   1186,   1534,   3587,   3684,   8169,  15816,  15817, 
/* msg =   6836, deg = 10 */     10,    365,    791,   1428,   1470,   2954,   3764,   7550,  15818,  15819, 
/* msg =   6837, deg = 10 */      2,    703,    929,   1324,   1450,   2527,   4183,   7566,  15819,  15820, 
/* msg =   6838, deg = 10 */    137,    611,   1067,   1335,   1787,   3071,   4932,   8609,  15820,  15821, 
/* msg =   6839, deg = 10 */    120,    706,   1079,   1100,   1644,   2257,   5033,   7801,  15821,  15822, 
/* msg =   6840, deg = 10 */    104,    369,    785,   1289,   1563,   1948,   5250,   8114,  15822,  15823, 
/* msg =   6841, deg = 10 */    248,    364,    775,   1141,   1787,   2978,   4390,   7189,  15823,  15824, 
/* msg =   6842, deg = 10 */    314,    617,    783,   1099,   1750,   3292,   4045,   6856,  15824,  15825, 
/* msg =   6843, deg = 10 */    247,    706,    805,   1106,   1743,   3447,   5602,   7543,  15825,  15826, 
/* msg =   6844, deg = 10 */    169,    374,    778,   1429,   1799,   2154,   5882,   7106,  15826,  15827, 
/* msg =   6845, deg = 10 */    324,    430,    807,   1262,   1738,   2710,   4416,   8022,  15827,  15828, 
/* msg =   6846, deg = 10 */      0,    710,    765,   1395,   1787,   2631,   5614,   8574,  15828,  15829, 
/* msg =   6847, deg = 10 */     96,    424,    923,   1087,   1740,   2162,   5949,   6832,  15829,  15830, 
/* msg =   6848, deg = 10 */     71,    435,    746,   1145,   1720,   1943,   4564,   8627,  15830,  15831, 
/* msg =   6849, deg = 10 */    322,    488,    928,   1263,   1774,   2505,   5297,   6382,  15831,  15832, 
/* msg =   6850, deg = 10 */    341,    716,    731,   1324,   1795,   2530,   3942,   6171,  15832,  15833, 
/* msg =   6851, deg = 10 */    239,    613,    834,   1353,   1725,   2216,   4681,   6138,  15833,  15834, 
/* msg =   6852, deg = 10 */    129,    392,    827,   1096,   1576,   2894,   5216,   7577,  15834,  15835, 
/* msg =   6853, deg = 10 */    142,    468,    858,   1309,   1782,   2143,   4318,   6497,  15835,  15836, 
/* msg =   6854, deg = 10 */    281,    573,   1075,   1423,   1799,   3246,   5422,   6584,  15836,  15837, 
/* msg =   6855, deg = 10 */    241,    432,   1064,   1187,   1535,   3588,   3685,   8170,  15837,  15838, 
/* msg =   6856, deg = 10 */     11,    366,    792,   1429,   1471,   2955,   3765,   7551,  15839,  15840, 
/* msg =   6857, deg = 10 */      3,    704,    930,   1325,   1451,   2528,   4184,   7567,  15840,  15841, 
/* msg =   6858, deg = 10 */    138,    612,   1068,   1336,   1788,   3072,   4933,   8610,  15841,  15842, 
/* msg =   6859, deg = 10 */    121,    707,    720,   1101,   1645,   2258,   5034,   7802,  15842,  15843, 
/* msg =   6860, deg = 10 */    105,    370,    786,   1290,   1564,   1949,   5251,   8115,  15843,  15844, 
/* msg =   6861, deg = 10 */    249,    365,    776,   1142,   1788,   2979,   4391,   7190,  15844,  15845, 
/* msg =   6862, deg = 10 */    315,    618,    784,   1100,   1751,   3293,   4046,   6857,  15845,  15846, 
/* msg =   6863, deg = 10 */    248,    707,    806,   1107,   1744,   3448,   5603,   7544,  15846,  15847, 
/* msg =   6864, deg = 10 */    170,    375,    779,   1430,   1440,   2155,   5883,   7107,  15847,  15848, 
/* msg =   6865, deg = 10 */    325,    431,    808,   1263,   1739,   2711,   4417,   8023,  15848,  15849, 
/* msg =   6866, deg = 10 */      1,    711,    766,   1396,   1788,   2632,   5615,   8575,  15849,  15850, 
/* msg =   6867, deg = 10 */     97,    425,    924,   1088,   1741,   2163,   5950,   6833,  15850,  15851, 
/* msg =   6868, deg = 10 */     72,    436,    747,   1146,   1721,   1944,   4565,   8628,  15851,  15852, 
/* msg =   6869, deg = 10 */    323,    489,    929,   1264,   1775,   2506,   5298,   6383,  15852,  15853, 
/* msg =   6870, deg = 10 */    342,    717,    732,   1325,   1796,   2531,   3943,   6172,  15853,  15854, 
/* msg =   6871, deg = 10 */    240,    614,    835,   1354,   1726,   2217,   4682,   6139,  15854,  15855, 
/* msg =   6872, deg = 10 */    130,    393,    828,   1097,   1577,   2895,   5217,   7578,  15855,  15856, 
/* msg =   6873, deg = 10 */    143,    469,    859,   1310,   1783,   2144,   4319,   6498,  15856,  15857, 
/* msg =   6874, deg = 10 */    282,    574,   1076,   1424,   1440,   3247,   5423,   6585,  15857,  15858, 
/* msg =   6875, deg = 10 */    242,    433,   1065,   1188,   1536,   3589,   3686,   8171,  15858,  15859, 
/* msg =   6876, deg = 10 */     12,    367,    793,   1430,   1472,   2956,   3766,   7552,  15860,  15861, 
/* msg =   6877, deg = 10 */      4,    705,    931,   1326,   1452,   2529,   4185,   7568,  15861,  15862, 
/* msg =   6878, deg = 10 */    139,    613,   1069,   1337,   1789,   3073,   4934,   8611,  15862,  15863, 
/* msg =   6879, deg = 10 */    122,    708,    721,   1102,   1646,   2259,   5035,   7803,  15863,  15864, 
/* msg =   6880, deg = 10 */    106,    371,    787,   1291,   1565,   1950,   5252,   8116,  15864,  15865, 
/* msg =   6881, deg = 10 */    250,    366,    777,   1143,   1789,   2980,   4392,   7191,  15865,  15866, 
/* msg =   6882, deg = 10 */    316,    619,    785,   1101,   1752,   3294,   4047,   6858,  15866,  15867, 
/* msg =   6883, deg = 10 */    249,    708,    807,   1108,   1745,   3449,   5604,   7545,  15867,  15868, 
/* msg =   6884, deg = 10 */    171,    376,    780,   1431,   1441,   2156,   5884,   7108,  15868,  15869, 
/* msg =   6885, deg = 10 */    326,    432,    809,   1264,   1740,   2712,   4418,   8024,  15869,  15870, 
/* msg =   6886, deg = 10 */      2,    712,    767,   1397,   1789,   2633,   5616,   8576,  15870,  15871, 
/* msg =   6887, deg = 10 */     98,    426,    925,   1089,   1742,   2164,   5951,   6834,  15871,  15872, 
/* msg =   6888, deg = 10 */     73,    437,    748,   1147,   1722,   1945,   4566,   8629,  15872,  15873, 
/* msg =   6889, deg = 10 */    324,    490,    930,   1265,   1776,   2507,   5299,   6384,  15873,  15874, 
/* msg =   6890, deg = 10 */    343,    718,    733,   1326,   1797,   2532,   3944,   6173,  15874,  15875, 
/* msg =   6891, deg = 10 */    241,    615,    836,   1355,   1727,   2218,   4683,   6140,  15875,  15876, 
/* msg =   6892, deg = 10 */    131,    394,    829,   1098,   1578,   2896,   5218,   7579,  15876,  15877, 
/* msg =   6893, deg = 10 */    144,    470,    860,   1311,   1784,   2145,   3960,   6499,  15877,  15878, 
/* msg =   6894, deg = 10 */    283,    575,   1077,   1425,   1441,   3248,   5424,   6586,  15878,  15879, 
/* msg =   6895, deg = 10 */    243,    434,   1066,   1189,   1537,   3590,   3687,   8172,  15879,  15880, 
/* msg =   6896, deg = 10 */     13,    368,    794,   1431,   1473,   2957,   3767,   7553,  15881,  15882, 
/* msg =   6897, deg = 10 */      5,    706,    932,   1327,   1453,   2530,   4186,   7569,  15882,  15883, 
/* msg =   6898, deg = 10 */    140,    614,   1070,   1338,   1790,   3074,   4935,   8612,  15883,  15884, 
/* msg =   6899, deg = 10 */    123,    709,    722,   1103,   1647,   2260,   5036,   7804,  15884,  15885, 
/* msg =   6900, deg = 10 */    107,    372,    788,   1292,   1566,   1951,   5253,   8117,  15885,  15886, 
/* msg =   6901, deg = 10 */    251,    367,    778,   1144,   1790,   2981,   4393,   7192,  15886,  15887, 
/* msg =   6902, deg = 10 */    317,    620,    786,   1102,   1753,   3295,   4048,   6859,  15887,  15888, 
/* msg =   6903, deg = 10 */    250,    709,    808,   1109,   1746,   3450,   5605,   7546,  15888,  15889, 
/* msg =   6904, deg = 10 */    172,    377,    781,   1432,   1442,   2157,   5885,   7109,  15889,  15890, 
/* msg =   6905, deg = 10 */    327,    433,    810,   1265,   1741,   2713,   4419,   8025,  15890,  15891, 
/* msg =   6906, deg = 10 */      3,    713,    768,   1398,   1790,   2634,   5617,   8577,  15891,  15892, 
/* msg =   6907, deg = 10 */     99,    427,    926,   1090,   1743,   2165,   5952,   6835,  15892,  15893, 
/* msg =   6908, deg = 10 */     74,    438,    749,   1148,   1723,   1946,   4567,   8630,  15893,  15894, 
/* msg =   6909, deg = 10 */    325,    491,    931,   1266,   1777,   2508,   5300,   6385,  15894,  15895, 
/* msg =   6910, deg = 10 */    344,    719,    734,   1327,   1798,   2533,   3945,   6174,  15895,  15896, 
/* msg =   6911, deg = 10 */    242,    616,    837,   1356,   1728,   2219,   4684,   6141,  15896,  15897, 
/* msg =   6912, deg = 10 */    132,    395,    830,   1099,   1579,   2897,   5219,   7580,  15897,  15898, 
/* msg =   6913, deg = 10 */    145,    471,    861,   1312,   1785,   2146,   3961,   6500,  15898,  15899, 
/* msg =   6914, deg = 10 */    284,    576,   1078,   1426,   1442,   3249,   5425,   6587,  15899,  15900, 
/* msg =   6915, deg = 10 */    244,    435,   1067,   1190,   1538,   3591,   3688,   8173,  15900,  15901, 
/* msg =   6916, deg = 10 */     14,    369,    795,   1432,   1474,   2958,   3768,   7554,  15902,  15903, 
/* msg =   6917, deg = 10 */      6,    707,    933,   1328,   1454,   2531,   4187,   7570,  15903,  15904, 
/* msg =   6918, deg = 10 */    141,    615,   1071,   1339,   1791,   3075,   4936,   8613,  15904,  15905, 
/* msg =   6919, deg = 10 */    124,    710,    723,   1104,   1648,   2261,   5037,   7805,  15905,  15906, 
/* msg =   6920, deg = 10 */    108,    373,    789,   1293,   1567,   1952,   5254,   8118,  15906,  15907, 
/* msg =   6921, deg = 10 */    252,    368,    779,   1145,   1791,   2982,   4394,   7193,  15907,  15908, 
/* msg =   6922, deg = 10 */    318,    621,    787,   1103,   1754,   3296,   4049,   6860,  15908,  15909, 
/* msg =   6923, deg = 10 */    251,    710,    809,   1110,   1747,   3451,   5606,   7547,  15909,  15910, 
/* msg =   6924, deg = 10 */    173,    378,    782,   1433,   1443,   2158,   5886,   7110,  15910,  15911, 
/* msg =   6925, deg = 10 */    328,    434,    811,   1266,   1742,   2714,   4420,   8026,  15911,  15912, 
/* msg =   6926, deg = 10 */      4,    714,    769,   1399,   1791,   2635,   5618,   8578,  15912,  15913, 
/* msg =   6927, deg = 10 */    100,    428,    927,   1091,   1744,   2166,   5953,   6836,  15913,  15914, 
/* msg =   6928, deg = 10 */     75,    439,    750,   1149,   1724,   1947,   4568,   8631,  15914,  15915, 
/* msg =   6929, deg = 10 */    326,    492,    932,   1267,   1778,   2509,   5301,   6386,  15915,  15916, 
/* msg =   6930, deg = 10 */    345,    360,    735,   1328,   1799,   2534,   3946,   6175,  15916,  15917, 
/* msg =   6931, deg = 10 */    243,    617,    838,   1357,   1729,   2220,   4685,   6142,  15917,  15918, 
/* msg =   6932, deg = 10 */    133,    396,    831,   1100,   1580,   2898,   5220,   7581,  15918,  15919, 
/* msg =   6933, deg = 10 */    146,    472,    862,   1313,   1786,   2147,   3962,   6501,  15919,  15920, 
/* msg =   6934, deg = 10 */    285,    577,   1079,   1427,   1443,   3250,   5426,   6588,  15920,  15921, 
/* msg =   6935, deg = 10 */    245,    436,   1068,   1191,   1539,   3592,   3689,   8174,  15921,  15922, 
/* msg =   6936, deg = 10 */     15,    370,    796,   1433,   1475,   2959,   3769,   7555,  15923,  15924, 
/* msg =   6937, deg = 10 */      7,    708,    934,   1329,   1455,   2532,   4188,   7571,  15924,  15925, 
/* msg =   6938, deg = 10 */    142,    616,   1072,   1340,   1792,   3076,   4937,   8614,  15925,  15926, 
/* msg =   6939, deg = 10 */    125,    711,    724,   1105,   1649,   2262,   5038,   7806,  15926,  15927, 
/* msg =   6940, deg = 10 */    109,    374,    790,   1294,   1568,   1953,   5255,   8119,  15927,  15928, 
/* msg =   6941, deg = 10 */    253,    369,    780,   1146,   1792,   2983,   4395,   7194,  15928,  15929, 
/* msg =   6942, deg = 10 */    319,    622,    788,   1104,   1755,   3297,   4050,   6861,  15929,  15930, 
/* msg =   6943, deg = 10 */    252,    711,    810,   1111,   1748,   3452,   5607,   7548,  15930,  15931, 
/* msg =   6944, deg = 10 */    174,    379,    783,   1434,   1444,   2159,   5887,   7111,  15931,  15932, 
/* msg =   6945, deg = 10 */    329,    435,    812,   1267,   1743,   2715,   4421,   8027,  15932,  15933, 
/* msg =   6946, deg = 10 */      5,    715,    770,   1400,   1792,   2636,   5619,   8579,  15933,  15934, 
/* msg =   6947, deg = 10 */    101,    429,    928,   1092,   1745,   2167,   5954,   6837,  15934,  15935, 
/* msg =   6948, deg = 10 */     76,    440,    751,   1150,   1725,   1948,   4569,   8632,  15935,  15936, 
/* msg =   6949, deg = 10 */    327,    493,    933,   1268,   1779,   2510,   5302,   6387,  15936,  15937, 
/* msg =   6950, deg = 10 */    346,    361,    736,   1329,   1440,   2535,   3947,   6176,  15937,  15938, 
/* msg =   6951, deg = 10 */    244,    618,    839,   1358,   1730,   2221,   4686,   6143,  15938,  15939, 
/* msg =   6952, deg = 10 */    134,    397,    832,   1101,   1581,   2899,   5221,   7582,  15939,  15940, 
/* msg =   6953, deg = 10 */    147,    473,    863,   1314,   1787,   2148,   3963,   6502,  15940,  15941, 
/* msg =   6954, deg = 10 */    286,    578,    720,   1428,   1444,   3251,   5427,   6589,  15941,  15942, 
/* msg =   6955, deg = 10 */    246,    437,   1069,   1192,   1540,   3593,   3690,   8175,  15942,  15943, 
/* msg =   6956, deg = 10 */     16,    371,    797,   1434,   1476,   2960,   3770,   7556,  15944,  15945, 
/* msg =   6957, deg = 10 */      8,    709,    935,   1330,   1456,   2533,   4189,   7572,  15945,  15946, 
/* msg =   6958, deg = 10 */    143,    617,   1073,   1341,   1793,   3077,   4938,   8615,  15946,  15947, 
/* msg =   6959, deg = 10 */    126,    712,    725,   1106,   1650,   2263,   5039,   7807,  15947,  15948, 
/* msg =   6960, deg = 10 */    110,    375,    791,   1295,   1569,   1954,   5256,   8120,  15948,  15949, 
/* msg =   6961, deg = 10 */    254,    370,    781,   1147,   1793,   2984,   4396,   7195,  15949,  15950, 
/* msg =   6962, deg = 10 */    320,    623,    789,   1105,   1756,   3298,   4051,   6862,  15950,  15951, 
/* msg =   6963, deg = 10 */    253,    712,    811,   1112,   1749,   3453,   5608,   7549,  15951,  15952, 
/* msg =   6964, deg = 10 */    175,    380,    784,   1435,   1445,   1800,   5888,   7112,  15952,  15953, 
/* msg =   6965, deg = 10 */    330,    436,    813,   1268,   1744,   2716,   4422,   8028,  15953,  15954, 
/* msg =   6966, deg = 10 */      6,    716,    771,   1401,   1793,   2637,   5620,   8580,  15954,  15955, 
/* msg =   6967, deg = 10 */    102,    430,    929,   1093,   1746,   2168,   5955,   6838,  15955,  15956, 
/* msg =   6968, deg = 10 */     77,    441,    752,   1151,   1726,   1949,   4570,   8633,  15956,  15957, 
/* msg =   6969, deg = 10 */    328,    494,    934,   1269,   1780,   2511,   5303,   6388,  15957,  15958, 
/* msg =   6970, deg = 10 */    347,    362,    737,   1330,   1441,   2536,   3948,   6177,  15958,  15959, 
/* msg =   6971, deg = 10 */    245,    619,    840,   1359,   1731,   2222,   4687,   6144,  15959,  15960, 
/* msg =   6972, deg = 10 */    135,    398,    833,   1102,   1582,   2900,   5222,   7583,  15960,  15961, 
/* msg =   6973, deg = 10 */    148,    474,    864,   1315,   1788,   2149,   3964,   6503,  15961,  15962, 
/* msg =   6974, deg = 10 */    287,    579,    721,   1429,   1445,   3252,   5428,   6590,  15962,  15963, 
/* msg =   6975, deg = 10 */    247,    438,   1070,   1193,   1541,   3594,   3691,   8176,  15963,  15964, 
/* msg =   6976, deg = 10 */     17,    372,    798,   1435,   1477,   2961,   3771,   7557,  15965,  15966, 
/* msg =   6977, deg = 10 */      9,    710,    936,   1331,   1457,   2534,   4190,   7573,  15966,  15967, 
/* msg =   6978, deg = 10 */    144,    618,   1074,   1342,   1794,   3078,   4939,   8616,  15967,  15968, 
/* msg =   6979, deg = 10 */    127,    713,    726,   1107,   1651,   2264,   4680,   7808,  15968,  15969, 
/* msg =   6980, deg = 10 */    111,    376,    792,   1296,   1570,   1955,   5257,   8121,  15969,  15970, 
/* msg =   6981, deg = 10 */    255,    371,    782,   1148,   1794,   2985,   4397,   7196,  15970,  15971, 
/* msg =   6982, deg = 10 */    321,    624,    790,   1106,   1757,   3299,   4052,   6863,  15971,  15972, 
/* msg =   6983, deg = 10 */    254,    713,    812,   1113,   1750,   3454,   5609,   7550,  15972,  15973, 
/* msg =   6984, deg = 10 */    176,    381,    785,   1436,   1446,   1801,   5889,   7113,  15973,  15974, 
/* msg =   6985, deg = 10 */    331,    437,    814,   1269,   1745,   2717,   4423,   8029,  15974,  15975, 
/* msg =   6986, deg = 10 */      7,    717,    772,   1402,   1794,   2638,   5621,   8581,  15975,  15976, 
/* msg =   6987, deg = 10 */    103,    431,    930,   1094,   1747,   2169,   5956,   6839,  15976,  15977, 
/* msg =   6988, deg = 10 */     78,    442,    753,   1152,   1727,   1950,   4571,   8634,  15977,  15978, 
/* msg =   6989, deg = 10 */    329,    495,    935,   1270,   1781,   2512,   5304,   6389,  15978,  15979, 
/* msg =   6990, deg = 10 */    348,    363,    738,   1331,   1442,   2537,   3949,   6178,  15979,  15980, 
/* msg =   6991, deg = 10 */    246,    620,    841,   1360,   1732,   2223,   4688,   6145,  15980,  15981, 
/* msg =   6992, deg = 10 */    136,    399,    834,   1103,   1583,   2901,   5223,   7584,  15981,  15982, 
/* msg =   6993, deg = 10 */    149,    475,    865,   1316,   1789,   2150,   3965,   6504,  15982,  15983, 
/* msg =   6994, deg = 10 */    288,    580,    722,   1430,   1446,   3253,   5429,   6591,  15983,  15984, 
/* msg =   6995, deg = 10 */    248,    439,   1071,   1194,   1542,   3595,   3692,   8177,  15984,  15985, 
/* msg =   6996, deg = 10 */     18,    373,    799,   1436,   1478,   2962,   3772,   7558,  15986,  15987, 
/* msg =   6997, deg = 10 */     10,    711,    937,   1332,   1458,   2535,   4191,   7574,  15987,  15988, 
/* msg =   6998, deg = 10 */    145,    619,   1075,   1343,   1795,   3079,   4940,   8617,  15988,  15989, 
/* msg =   6999, deg = 10 */    128,    714,    727,   1108,   1652,   2265,   4681,   7809,  15989,  15990, 
/* msg =   7000, deg = 10 */    112,    377,    793,   1297,   1571,   1956,   5258,   8122,  15990,  15991, 
/* msg =   7001, deg = 10 */    256,    372,    783,   1149,   1795,   2986,   4398,   7197,  15991,  15992, 
/* msg =   7002, deg = 10 */    322,    625,    791,   1107,   1758,   3300,   4053,   6864,  15992,  15993, 
/* msg =   7003, deg = 10 */    255,    714,    813,   1114,   1751,   3455,   5610,   7551,  15993,  15994, 
/* msg =   7004, deg = 10 */    177,    382,    786,   1437,   1447,   1802,   5890,   7114,  15994,  15995, 
/* msg =   7005, deg = 10 */    332,    438,    815,   1270,   1746,   2718,   4424,   8030,  15995,  15996, 
/* msg =   7006, deg = 10 */      8,    718,    773,   1403,   1795,   2639,   5622,   8582,  15996,  15997, 
/* msg =   7007, deg = 10 */    104,    432,    931,   1095,   1748,   2170,   5957,   6480,  15997,  15998, 
/* msg =   7008, deg = 10 */     79,    443,    754,   1153,   1728,   1951,   4572,   8635,  15998,  15999, 
/* msg =   7009, deg = 10 */    330,    496,    936,   1271,   1782,   2513,   5305,   6390,  15999,  16000, 
/* msg =   7010, deg = 10 */    349,    364,    739,   1332,   1443,   2538,   3950,   6179,  16000,  16001, 
/* msg =   7011, deg = 10 */    247,    621,    842,   1361,   1733,   2224,   4689,   6146,  16001,  16002, 
/* msg =   7012, deg = 10 */    137,    400,    835,   1104,   1584,   2902,   5224,   7585,  16002,  16003, 
/* msg =   7013, deg = 10 */    150,    476,    866,   1317,   1790,   2151,   3966,   6505,  16003,  16004, 
/* msg =   7014, deg = 10 */    289,    581,    723,   1431,   1447,   3254,   5430,   6592,  16004,  16005, 
/* msg =   7015, deg = 10 */    249,    440,   1072,   1195,   1543,   3596,   3693,   8178,  16005,  16006, 
/* msg =   7016, deg = 10 */     19,    374,    800,   1437,   1479,   2963,   3773,   7559,  16007,  16008, 
/* msg =   7017, deg = 10 */     11,    712,    938,   1333,   1459,   2536,   4192,   7575,  16008,  16009, 
/* msg =   7018, deg = 10 */    146,    620,   1076,   1344,   1796,   3080,   4941,   8618,  16009,  16010, 
/* msg =   7019, deg = 10 */    129,    715,    728,   1109,   1653,   2266,   4682,   7810,  16010,  16011, 
/* msg =   7020, deg = 10 */    113,    378,    794,   1298,   1572,   1957,   5259,   8123,  16011,  16012, 
/* msg =   7021, deg = 10 */    257,    373,    784,   1150,   1796,   2987,   4399,   7198,  16012,  16013, 
/* msg =   7022, deg = 10 */    323,    626,    792,   1108,   1759,   3301,   4054,   6865,  16013,  16014, 
/* msg =   7023, deg = 10 */    256,    715,    814,   1115,   1752,   3456,   5611,   7552,  16014,  16015, 
/* msg =   7024, deg = 10 */    178,    383,    787,   1438,   1448,   1803,   5891,   7115,  16015,  16016, 
/* msg =   7025, deg = 10 */    333,    439,    816,   1271,   1747,   2719,   4425,   8031,  16016,  16017, 
/* msg =   7026, deg = 10 */      9,    719,    774,   1404,   1796,   2640,   5623,   8583,  16017,  16018, 
/* msg =   7027, deg = 10 */    105,    433,    932,   1096,   1749,   2171,   5958,   6481,  16018,  16019, 
/* msg =   7028, deg = 10 */     80,    444,    755,   1154,   1729,   1952,   4573,   8636,  16019,  16020, 
/* msg =   7029, deg = 10 */    331,    497,    937,   1272,   1783,   2514,   5306,   6391,  16020,  16021, 
/* msg =   7030, deg = 10 */    350,    365,    740,   1333,   1444,   2539,   3951,   6180,  16021,  16022, 
/* msg =   7031, deg = 10 */    248,    622,    843,   1362,   1734,   2225,   4690,   6147,  16022,  16023, 
/* msg =   7032, deg = 10 */    138,    401,    836,   1105,   1585,   2903,   5225,   7586,  16023,  16024, 
/* msg =   7033, deg = 10 */    151,    477,    867,   1318,   1791,   2152,   3967,   6506,  16024,  16025, 
/* msg =   7034, deg = 10 */    290,    582,    724,   1432,   1448,   3255,   5431,   6593,  16025,  16026, 
/* msg =   7035, deg = 10 */    250,    441,   1073,   1196,   1544,   3597,   3694,   8179,  16026,  16027, 
/* msg =   7036, deg = 10 */     20,    375,    801,   1438,   1480,   2964,   3774,   7200,  16028,  16029, 
/* msg =   7037, deg = 10 */     12,    713,    939,   1334,   1460,   2537,   4193,   7576,  16029,  16030, 
/* msg =   7038, deg = 10 */    147,    621,   1077,   1345,   1797,   3081,   4942,   8619,  16030,  16031, 
/* msg =   7039, deg = 10 */    130,    716,    729,   1110,   1654,   2267,   4683,   7811,  16031,  16032, 
/* msg =   7040, deg = 10 */    114,    379,    795,   1299,   1573,   1958,   5260,   8124,  16032,  16033, 
/* msg =   7041, deg = 10 */    258,    374,    785,   1151,   1797,   2988,   4400,   7199,  16033,  16034, 
/* msg =   7042, deg = 10 */    324,    627,    793,   1109,   1760,   3302,   4055,   6866,  16034,  16035, 
/* msg =   7043, deg = 10 */    257,    716,    815,   1116,   1753,   3457,   5612,   7553,  16035,  16036, 
/* msg =   7044, deg = 10 */    179,    384,    788,   1439,   1449,   1804,   5892,   7116,  16036,  16037, 
/* msg =   7045, deg = 10 */    334,    440,    817,   1272,   1748,   2720,   4426,   8032,  16037,  16038, 
/* msg =   7046, deg = 10 */     10,    360,    775,   1405,   1797,   2641,   5624,   8584,  16038,  16039, 
/* msg =   7047, deg = 10 */    106,    434,    933,   1097,   1750,   2172,   5959,   6482,  16039,  16040, 
/* msg =   7048, deg = 10 */     81,    445,    756,   1155,   1730,   1953,   4574,   8637,  16040,  16041, 
/* msg =   7049, deg = 10 */    332,    498,    938,   1273,   1784,   2515,   5307,   6392,  16041,  16042, 
/* msg =   7050, deg = 10 */    351,    366,    741,   1334,   1445,   2540,   3952,   6181,  16042,  16043, 
/* msg =   7051, deg = 10 */    249,    623,    844,   1363,   1735,   2226,   4691,   6148,  16043,  16044, 
/* msg =   7052, deg = 10 */    139,    402,    837,   1106,   1586,   2904,   5226,   7587,  16044,  16045, 
/* msg =   7053, deg = 10 */    152,    478,    868,   1319,   1792,   2153,   3968,   6507,  16045,  16046, 
/* msg =   7054, deg = 10 */    291,    583,    725,   1433,   1449,   3256,   5432,   6594,  16046,  16047, 
/* msg =   7055, deg = 10 */    251,    442,   1074,   1197,   1545,   3598,   3695,   8180,  16047,  16048, 
/* msg =   7056, deg = 10 */     21,    376,    802,   1439,   1481,   2965,   3775,   7201,  16049,  16050, 
/* msg =   7057, deg = 10 */     13,    714,    940,   1335,   1461,   2538,   4194,   7577,  16050,  16051, 
/* msg =   7058, deg = 10 */    148,    622,   1078,   1346,   1798,   3082,   4943,   8620,  16051,  16052, 
/* msg =   7059, deg = 10 */    131,    717,    730,   1111,   1655,   2268,   4684,   7812,  16052,  16053, 
/* msg =   7060, deg = 10 */    115,    380,    796,   1300,   1574,   1959,   5261,   8125,  16053,  16054, 
/* msg =   7061, deg = 10 */    259,    375,    786,   1152,   1798,   2989,   4401,   6840,  16054,  16055, 
/* msg =   7062, deg = 10 */    325,    628,    794,   1110,   1761,   3303,   4056,   6867,  16055,  16056, 
/* msg =   7063, deg = 10 */    258,    717,    816,   1117,   1754,   3458,   5613,   7554,  16056,  16057, 
/* msg =   7064, deg = 10 */    180,    385,    789,   1080,   1450,   1805,   5893,   7117,  16057,  16058, 
/* msg =   7065, deg = 10 */    335,    441,    818,   1273,   1749,   2721,   4427,   8033,  16058,  16059, 
/* msg =   7066, deg = 10 */     11,    361,    776,   1406,   1798,   2642,   5625,   8585,  16059,  16060, 
/* msg =   7067, deg = 10 */    107,    435,    934,   1098,   1751,   2173,   5960,   6483,  16060,  16061, 
/* msg =   7068, deg = 10 */     82,    446,    757,   1156,   1731,   1954,   4575,   8638,  16061,  16062, 
/* msg =   7069, deg = 10 */    333,    499,    939,   1274,   1785,   2516,   5308,   6393,  16062,  16063, 
/* msg =   7070, deg = 10 */    352,    367,    742,   1335,   1446,   2541,   3953,   6182,  16063,  16064, 
/* msg =   7071, deg = 10 */    250,    624,    845,   1364,   1736,   2227,   4692,   6149,  16064,  16065, 
/* msg =   7072, deg = 10 */    140,    403,    838,   1107,   1587,   2905,   5227,   7588,  16065,  16066, 
/* msg =   7073, deg = 10 */    153,    479,    869,   1320,   1793,   2154,   3969,   6508,  16066,  16067, 
/* msg =   7074, deg = 10 */    292,    584,    726,   1434,   1450,   3257,   5433,   6595,  16067,  16068, 
/* msg =   7075, deg = 10 */    252,    443,   1075,   1198,   1546,   3599,   3696,   8181,  16068,  16069, 
/* msg =   7076, deg = 10 */     22,    377,    803,   1080,   1482,   2966,   3776,   7202,  16070,  16071, 
/* msg =   7077, deg = 10 */     14,    715,    941,   1336,   1462,   2539,   4195,   7578,  16071,  16072, 
/* msg =   7078, deg = 10 */    149,    623,   1079,   1347,   1799,   3083,   4944,   8621,  16072,  16073, 
/* msg =   7079, deg = 10 */    132,    718,    731,   1112,   1656,   2269,   4685,   7813,  16073,  16074, 
/* msg =   7080, deg = 10 */    116,    381,    797,   1301,   1575,   1960,   5262,   8126,  16074,  16075, 
/* msg =   7081, deg = 10 */    260,    376,    787,   1153,   1799,   2990,   4402,   6841,  16075,  16076, 
/* msg =   7082, deg = 10 */    326,    629,    795,   1111,   1762,   3304,   4057,   6868,  16076,  16077, 
/* msg =   7083, deg = 10 */    259,    718,    817,   1118,   1755,   3459,   5614,   7555,  16077,  16078, 
/* msg =   7084, deg = 10 */    181,    386,    790,   1081,   1451,   1806,   5894,   7118,  16078,  16079, 
/* msg =   7085, deg = 10 */    336,    442,    819,   1274,   1750,   2722,   4428,   8034,  16079,  16080, 
/* msg =   7086, deg = 10 */     12,    362,    777,   1407,   1799,   2643,   5626,   8586,  16080,  16081, 
/* msg =   7087, deg = 10 */    108,    436,    935,   1099,   1752,   2174,   5961,   6484,  16081,  16082, 
/* msg =   7088, deg = 10 */     83,    447,    758,   1157,   1732,   1955,   4576,   8639,  16082,  16083, 
/* msg =   7089, deg = 10 */    334,    500,    940,   1275,   1786,   2517,   5309,   6394,  16083,  16084, 
/* msg =   7090, deg = 10 */    353,    368,    743,   1336,   1447,   2542,   3954,   6183,  16084,  16085, 
/* msg =   7091, deg = 10 */    251,    625,    846,   1365,   1737,   2228,   4693,   6150,  16085,  16086, 
/* msg =   7092, deg = 10 */    141,    404,    839,   1108,   1588,   2906,   5228,   7589,  16086,  16087, 
/* msg =   7093, deg = 10 */    154,    480,    870,   1321,   1794,   2155,   3970,   6509,  16087,  16088, 
/* msg =   7094, deg = 10 */    293,    585,    727,   1435,   1451,   3258,   5434,   6596,  16088,  16089, 
/* msg =   7095, deg = 10 */    253,    444,   1076,   1199,   1547,   3240,   3697,   8182,  16089,  16090, 
/* msg =   7096, deg = 10 */     23,    378,    804,   1081,   1483,   2967,   3777,   7203,  16091,  16092, 
/* msg =   7097, deg = 10 */     15,    716,    942,   1337,   1463,   2540,   4196,   7579,  16092,  16093, 
/* msg =   7098, deg = 10 */    150,    624,    720,   1348,   1440,   3084,   4945,   8622,  16093,  16094, 
/* msg =   7099, deg = 10 */    133,    719,    732,   1113,   1657,   2270,   4686,   7814,  16094,  16095, 
/* msg =   7100, deg = 10 */    117,    382,    798,   1302,   1576,   1961,   5263,   8127,  16095,  16096, 
/* msg =   7101, deg = 10 */    261,    377,    788,   1154,   1440,   2991,   4403,   6842,  16096,  16097, 
/* msg =   7102, deg = 10 */    327,    630,    796,   1112,   1763,   3305,   4058,   6869,  16097,  16098, 
/* msg =   7103, deg = 10 */    260,    719,    818,   1119,   1756,   3460,   5615,   7556,  16098,  16099, 
/* msg =   7104, deg = 10 */    182,    387,    791,   1082,   1452,   1807,   5895,   7119,  16099,  16100, 
/* msg =   7105, deg = 10 */    337,    443,    820,   1275,   1751,   2723,   4429,   8035,  16100,  16101, 
/* msg =   7106, deg = 10 */     13,    363,    778,   1408,   1440,   2644,   5627,   8587,  16101,  16102, 
/* msg =   7107, deg = 10 */    109,    437,    936,   1100,   1753,   2175,   5962,   6485,  16102,  16103, 
/* msg =   7108, deg = 10 */     84,    448,    759,   1158,   1733,   1956,   4577,   8280,  16103,  16104, 
/* msg =   7109, deg = 10 */    335,    501,    941,   1276,   1787,   2518,   5310,   6395,  16104,  16105, 
/* msg =   7110, deg = 10 */    354,    369,    744,   1337,   1448,   2543,   3955,   6184,  16105,  16106, 
/* msg =   7111, deg = 10 */    252,    626,    847,   1366,   1738,   2229,   4694,   6151,  16106,  16107, 
/* msg =   7112, deg = 10 */    142,    405,    840,   1109,   1589,   2907,   5229,   7590,  16107,  16108, 
/* msg =   7113, deg = 10 */    155,    481,    871,   1322,   1795,   2156,   3971,   6510,  16108,  16109, 
/* msg =   7114, deg = 10 */    294,    586,    728,   1436,   1452,   3259,   5435,   6597,  16109,  16110, 
/* msg =   7115, deg = 10 */    254,    445,   1077,   1200,   1548,   3241,   3698,   8183,  16110,  16111, 
/* msg =   7116, deg = 10 */     24,    379,    805,   1082,   1484,   2968,   3778,   7204,  16112,  16113, 
/* msg =   7117, deg = 10 */     16,    717,    943,   1338,   1464,   2541,   4197,   7580,  16113,  16114, 
/* msg =   7118, deg = 10 */    151,    625,    721,   1349,   1441,   3085,   4946,   8623,  16114,  16115, 
/* msg =   7119, deg = 10 */    134,    360,    733,   1114,   1658,   2271,   4687,   7815,  16115,  16116, 
/* msg =   7120, deg = 10 */    118,    383,    799,   1303,   1577,   1962,   5264,   8128,  16116,  16117, 
/* msg =   7121, deg = 10 */    262,    378,    789,   1155,   1441,   2992,   4404,   6843,  16117,  16118, 
/* msg =   7122, deg = 10 */    328,    631,    797,   1113,   1764,   3306,   4059,   6870,  16118,  16119, 
/* msg =   7123, deg = 10 */    261,    360,    819,   1120,   1757,   3461,   5616,   7557,  16119,  16120, 
/* msg =   7124, deg = 10 */    183,    388,    792,   1083,   1453,   1808,   5896,   7120,  16120,  16121, 
/* msg =   7125, deg = 10 */    338,    444,    821,   1276,   1752,   2724,   4430,   8036,  16121,  16122, 
/* msg =   7126, deg = 10 */     14,    364,    779,   1409,   1441,   2645,   5628,   8588,  16122,  16123, 
/* msg =   7127, deg = 10 */    110,    438,    937,   1101,   1754,   2176,   5963,   6486,  16123,  16124, 
/* msg =   7128, deg = 10 */     85,    449,    760,   1159,   1734,   1957,   4578,   8281,  16124,  16125, 
/* msg =   7129, deg = 10 */    336,    502,    942,   1277,   1788,   2519,   5311,   6396,  16125,  16126, 
/* msg =   7130, deg = 10 */    355,    370,    745,   1338,   1449,   2544,   3956,   6185,  16126,  16127, 
/* msg =   7131, deg = 10 */    253,    627,    848,   1367,   1739,   2230,   4695,   6152,  16127,  16128, 
/* msg =   7132, deg = 10 */    143,    406,    841,   1110,   1590,   2908,   5230,   7591,  16128,  16129, 
/* msg =   7133, deg = 10 */    156,    482,    872,   1323,   1796,   2157,   3972,   6511,  16129,  16130, 
/* msg =   7134, deg = 10 */    295,    587,    729,   1437,   1453,   3260,   5436,   6598,  16130,  16131, 
/* msg =   7135, deg = 10 */    255,    446,   1078,   1201,   1549,   3242,   3699,   8184,  16131,  16132, 
/* msg =   7136, deg = 10 */     25,    380,    806,   1083,   1485,   2969,   3779,   7205,  16133,  16134, 
/* msg =   7137, deg = 10 */     17,    718,    944,   1339,   1465,   2542,   4198,   7581,  16134,  16135, 
/* msg =   7138, deg = 10 */    152,    626,    722,   1350,   1442,   3086,   4947,   8624,  16135,  16136, 
/* msg =   7139, deg = 10 */    135,    361,    734,   1115,   1659,   2272,   4688,   7816,  16136,  16137, 
/* msg =   7140, deg = 10 */    119,    384,    800,   1304,   1578,   1963,   5265,   8129,  16137,  16138, 
/* msg =   7141, deg = 10 */    263,    379,    790,   1156,   1442,   2993,   4405,   6844,  16138,  16139, 
/* msg =   7142, deg = 10 */    329,    632,    798,   1114,   1765,   3307,   4060,   6871,  16139,  16140, 
/* msg =   7143, deg = 10 */    262,    361,    820,   1121,   1758,   3462,   5617,   7558,  16140,  16141, 
/* msg =   7144, deg = 10 */    184,    389,    793,   1084,   1454,   1809,   5897,   7121,  16141,  16142, 
/* msg =   7145, deg = 10 */    339,    445,    822,   1277,   1753,   2725,   4431,   8037,  16142,  16143, 
/* msg =   7146, deg = 10 */     15,    365,    780,   1410,   1442,   2646,   5629,   8589,  16143,  16144, 
/* msg =   7147, deg = 10 */    111,    439,    938,   1102,   1755,   2177,   5964,   6487,  16144,  16145, 
/* msg =   7148, deg = 10 */     86,    450,    761,   1160,   1735,   1958,   4579,   8282,  16145,  16146, 
/* msg =   7149, deg = 10 */    337,    503,    943,   1278,   1789,   2160,   5312,   6397,  16146,  16147, 
/* msg =   7150, deg = 10 */    356,    371,    746,   1339,   1450,   2545,   3957,   6186,  16147,  16148, 
/* msg =   7151, deg = 10 */    254,    628,    849,   1368,   1740,   2231,   4696,   6153,  16148,  16149, 
/* msg =   7152, deg = 10 */    144,    407,    842,   1111,   1591,   2909,   5231,   7592,  16149,  16150, 
/* msg =   7153, deg = 10 */    157,    483,    873,   1324,   1797,   2158,   3973,   6512,  16150,  16151, 
/* msg =   7154, deg = 10 */    296,    588,    730,   1438,   1454,   3261,   5437,   6599,  16151,  16152, 
/* msg =   7155, deg = 10 */    256,    447,   1079,   1202,   1550,   3243,   3700,   8185,  16152,  16153, 
/* msg =   7156, deg = 10 */     26,    381,    807,   1084,   1486,   2970,   3780,   7206,  16154,  16155, 
/* msg =   7157, deg = 10 */     18,    719,    945,   1340,   1466,   2543,   4199,   7582,  16155,  16156, 
/* msg =   7158, deg = 10 */    153,    627,    723,   1351,   1443,   3087,   4948,   8625,  16156,  16157, 
/* msg =   7159, deg = 10 */    136,    362,    735,   1116,   1660,   2273,   4689,   7817,  16157,  16158, 
/* msg =   7160, deg = 10 */    120,    385,    801,   1305,   1579,   1964,   5266,   8130,  16158,  16159, 
/* msg =   7161, deg = 10 */    264,    380,    791,   1157,   1443,   2994,   4406,   6845,  16159,  16160, 
/* msg =   7162, deg = 10 */    330,    633,    799,   1115,   1766,   3308,   4061,   6872,  16160,  16161, 
/* msg =   7163, deg = 10 */    263,    362,    821,   1122,   1759,   3463,   5618,   7559,  16161,  16162, 
/* msg =   7164, deg = 10 */    185,    390,    794,   1085,   1455,   1810,   5898,   7122,  16162,  16163, 
/* msg =   7165, deg = 10 */    340,    446,    823,   1278,   1754,   2726,   4432,   8038,  16163,  16164, 
/* msg =   7166, deg = 10 */     16,    366,    781,   1411,   1443,   2647,   5630,   8590,  16164,  16165, 
/* msg =   7167, deg = 10 */    112,    440,    939,   1103,   1756,   2178,   5965,   6488,  16165,  16166, 
/* msg =   7168, deg = 10 */     87,    451,    762,   1161,   1736,   1959,   4580,   8283,  16166,  16167, 
/* msg =   7169, deg = 10 */    338,    504,    944,   1279,   1790,   2161,   5313,   6398,  16167,  16168, 
/* msg =   7170, deg = 10 */    357,    372,    747,   1340,   1451,   2546,   3958,   6187,  16168,  16169, 
/* msg =   7171, deg = 10 */    255,    629,    850,   1369,   1741,   2232,   4697,   6154,  16169,  16170, 
/* msg =   7172, deg = 10 */    145,    408,    843,   1112,   1592,   2910,   5232,   7593,  16170,  16171, 
/* msg =   7173, deg = 10 */    158,    484,    874,   1325,   1798,   2159,   3974,   6513,  16171,  16172, 
/* msg =   7174, deg = 10 */    297,    589,    731,   1439,   1455,   3262,   5438,   6600,  16172,  16173, 
/* msg =   7175, deg = 10 */    257,    448,    720,   1203,   1551,   3244,   3701,   8186,  16173,  16174, 
/* msg =   7176, deg = 10 */     27,    382,    808,   1085,   1487,   2971,   3781,   7207,  16175,  16176, 
/* msg =   7177, deg = 10 */     19,    360,    946,   1341,   1467,   2544,   4200,   7583,  16176,  16177, 
/* msg =   7178, deg = 10 */    154,    628,    724,   1352,   1444,   3088,   4949,   8626,  16177,  16178, 
/* msg =   7179, deg = 10 */    137,    363,    736,   1117,   1661,   2274,   4690,   7818,  16178,  16179, 
/* msg =   7180, deg = 10 */    121,    386,    802,   1306,   1580,   1965,   5267,   8131,  16179,  16180, 
/* msg =   7181, deg = 10 */    265,    381,    792,   1158,   1444,   2995,   4407,   6846,  16180,  16181, 
/* msg =   7182, deg = 10 */    331,    634,    800,   1116,   1767,   3309,   4062,   6873,  16181,  16182, 
/* msg =   7183, deg = 10 */    264,    363,    822,   1123,   1760,   3464,   5619,   7200,  16182,  16183, 
/* msg =   7184, deg = 10 */    186,    391,    795,   1086,   1456,   1811,   5899,   7123,  16183,  16184, 
/* msg =   7185, deg = 10 */    341,    447,    824,   1279,   1755,   2727,   4433,   8039,  16184,  16185, 
/* msg =   7186, deg = 10 */     17,    367,    782,   1412,   1444,   2648,   5631,   8591,  16185,  16186, 
/* msg =   7187, deg = 10 */    113,    441,    940,   1104,   1757,   2179,   5966,   6489,  16186,  16187, 
/* msg =   7188, deg = 10 */     88,    452,    763,   1162,   1737,   1960,   4581,   8284,  16187,  16188, 
/* msg =   7189, deg = 10 */    339,    505,    945,   1280,   1791,   2162,   5314,   6399,  16188,  16189, 
/* msg =   7190, deg = 10 */    358,    373,    748,   1341,   1452,   2547,   3959,   6188,  16189,  16190, 
/* msg =   7191, deg = 10 */    256,    630,    851,   1370,   1742,   2233,   4698,   6155,  16190,  16191, 
/* msg =   7192, deg = 10 */    146,    409,    844,   1113,   1593,   2911,   5233,   7594,  16191,  16192, 
/* msg =   7193, deg = 10 */    159,    485,    875,   1326,   1799,   1800,   3975,   6514,  16192,  16193, 
/* msg =   7194, deg = 10 */    298,    590,    732,   1080,   1456,   3263,   5439,   6601,  16193,  16194, 
/* msg =   7195, deg = 10 */    258,    449,    721,   1204,   1552,   3245,   3702,   8187,  16194,  16195, 
/* msg =   7196, deg = 10 */     28,    383,    809,   1086,   1488,   2972,   3782,   7208,  16196,  16197, 
/* msg =   7197, deg = 10 */     20,    361,    947,   1342,   1468,   2545,   4201,   7584,  16197,  16198, 
/* msg =   7198, deg = 10 */    155,    629,    725,   1353,   1445,   3089,   4950,   8627,  16198,  16199, 
/* msg =   7199, deg =  9 */    138,    364,    737,   1118,   1662,   2275,   4691,   7819,   8640, 
/* msg =   7200, deg =  9 */     22,    484,    881,   1163,   1492,   5840,   7457,   8656,   8657, 
/* msg =   7201, deg =  9 */     23,    485,    882,   1164,   1493,   5841,   7458,   8677,   8678, 
/* msg =   7202, deg =  9 */     24,    486,    883,   1165,   1494,   5842,   7459,   8698,   8699, 
/* msg =   7203, deg =  9 */     25,    487,    884,   1166,   1495,   5843,   7460,   8719,   8720, 
/* msg =   7204, deg =  9 */     26,    488,    885,   1167,   1496,   5844,   7461,   8740,   8741, 
/* msg =   7205, deg =  9 */     27,    489,    886,   1168,   1497,   5845,   7462,   8761,   8762, 
/* msg =   7206, deg =  9 */     28,    490,    887,   1169,   1498,   5846,   7463,   8782,   8783, 
/* msg =   7207, deg =  9 */     29,    491,    888,   1170,   1499,   5847,   7464,   8803,   8804, 
/* msg =   7208, deg =  9 */     30,    492,    889,   1171,   1500,   5848,   7465,   8824,   8825, 
/* msg =   7209, deg =  9 */     31,    493,    890,   1172,   1501,   5849,   7466,   8845,   8846, 
/* msg =   7210, deg =  9 */     32,    494,    891,   1173,   1502,   5850,   7467,   8866,   8867, 
/* msg =   7211, deg =  9 */     33,    495,    892,   1174,   1503,   5851,   7468,   8887,   8888, 
/* msg =   7212, deg =  9 */     34,    496,    893,   1175,   1504,   5852,   7469,   8908,   8909, 
/* msg =   7213, deg =  9 */     35,    497,    894,   1176,   1505,   5853,   7470,   8929,   8930, 
/* msg =   7214, deg =  9 */     36,    498,    895,   1177,   1506,   5854,   7471,   8950,   8951, 
/* msg =   7215, deg =  9 */     37,    499,    896,   1178,   1507,   5855,   7472,   8971,   8972, 
/* msg =   7216, deg =  9 */     38,    500,    897,   1179,   1508,   5856,   7473,   8992,   8993, 
/* msg =   7217, deg =  9 */     39,    501,    898,   1180,   1509,   5857,   7474,   9013,   9014, 
/* msg =   7218, deg =  9 */     40,    502,    899,   1181,   1510,   5858,   7475,   9034,   9035, 
/* msg =   7219, deg =  9 */     41,    503,    900,   1182,   1511,   5859,   7476,   9055,   9056, 
/* msg =   7220, deg =  9 */     42,    504,    901,   1183,   1512,   5860,   7477,   9076,   9077, 
/* msg =   7221, deg =  9 */     43,    505,    902,   1184,   1513,   5861,   7478,   9097,   9098, 
/* msg =   7222, deg =  9 */     44,    506,    903,   1185,   1514,   5862,   7479,   9118,   9119, 
/* msg =   7223, deg =  9 */     45,    507,    904,   1186,   1515,   5863,   7480,   9139,   9140, 
/* msg =   7224, deg =  9 */     46,    508,    905,   1187,   1516,   5864,   7481,   9160,   9161, 
/* msg =   7225, deg =  9 */     47,    509,    906,   1188,   1517,   5865,   7482,   9181,   9182, 
/* msg =   7226, deg =  9 */     48,    510,    907,   1189,   1518,   5866,   7483,   9202,   9203, 
/* msg =   7227, deg =  9 */     49,    511,    908,   1190,   1519,   5867,   7484,   9223,   9224, 
/* msg =   7228, deg =  9 */     50,    512,    909,   1191,   1520,   5868,   7485,   9244,   9245, 
/* msg =   7229, deg =  9 */     51,    513,    910,   1192,   1521,   5869,   7486,   9265,   9266, 
/* msg =   7230, deg =  9 */     52,    514,    911,   1193,   1522,   5870,   7487,   9286,   9287, 
/* msg =   7231, deg =  9 */     53,    515,    912,   1194,   1523,   5871,   7488,   9307,   9308, 
/* msg =   7232, deg =  9 */     54,    516,    913,   1195,   1524,   5872,   7489,   9328,   9329, 
/* msg =   7233, deg =  9 */     55,    517,    914,   1196,   1525,   5873,   7490,   9349,   9350, 
/* msg =   7234, deg =  9 */     56,    518,    915,   1197,   1526,   5874,   7491,   9370,   9371, 
/* msg =   7235, deg =  9 */     57,    519,    916,   1198,   1527,   5875,   7492,   9391,   9392, 
/* msg =   7236, deg =  9 */     58,    520,    917,   1199,   1528,   5876,   7493,   9412,   9413, 
/* msg =   7237, deg =  9 */     59,    521,    918,   1200,   1529,   5877,   7494,   9433,   9434, 
/* msg =   7238, deg =  9 */     60,    522,    919,   1201,   1530,   5878,   7495,   9454,   9455, 
/* msg =   7239, deg =  9 */     61,    523,    920,   1202,   1531,   5879,   7496,   9475,   9476, 
/* msg =   7240, deg =  9 */     62,    524,    921,   1203,   1532,   5880,   7497,   9496,   9497, 
/* msg =   7241, deg =  9 */     63,    525,    922,   1204,   1533,   5881,   7498,   9517,   9518, 
/* msg =   7242, deg =  9 */     64,    526,    923,   1205,   1534,   5882,   7499,   9538,   9539, 
/* msg =   7243, deg =  9 */     65,    527,    924,   1206,   1535,   5883,   7500,   9559,   9560, 
/* msg =   7244, deg =  9 */     66,    528,    925,   1207,   1536,   5884,   7501,   9580,   9581, 
/* msg =   7245, deg =  9 */     67,    529,    926,   1208,   1537,   5885,   7502,   9601,   9602, 
/* msg =   7246, deg =  9 */     68,    530,    927,   1209,   1538,   5886,   7503,   9622,   9623, 
/* msg =   7247, deg =  9 */     69,    531,    928,   1210,   1539,   5887,   7504,   9643,   9644, 
/* msg =   7248, deg =  9 */     70,    532,    929,   1211,   1540,   5888,   7505,   9664,   9665, 
/* msg =   7249, deg =  9 */     71,    533,    930,   1212,   1541,   5889,   7506,   9685,   9686, 
/* msg =   7250, deg =  9 */     72,    534,    931,   1213,   1542,   5890,   7507,   9706,   9707, 
/* msg =   7251, deg =  9 */     73,    535,    932,   1214,   1543,   5891,   7508,   9727,   9728, 
/* msg =   7252, deg =  9 */     74,    536,    933,   1215,   1544,   5892,   7509,   9748,   9749, 
/* msg =   7253, deg =  9 */     75,    537,    934,   1216,   1545,   5893,   7510,   9769,   9770, 
/* msg =   7254, deg =  9 */     76,    538,    935,   1217,   1546,   5894,   7511,   9790,   9791, 
/* msg =   7255, deg =  9 */     77,    539,    936,   1218,   1547,   5895,   7512,   9811,   9812, 
/* msg =   7256, deg =  9 */     78,    540,    937,   1219,   1548,   5896,   7513,   9832,   9833, 
/* msg =   7257, deg =  9 */     79,    541,    938,   1220,   1549,   5897,   7514,   9853,   9854, 
/* msg =   7258, deg =  9 */     80,    542,    939,   1221,   1550,   5898,   7515,   9874,   9875, 
/* msg =   7259, deg =  9 */     81,    543,    940,   1222,   1551,   5899,   7516,   9895,   9896, 
/* msg =   7260, deg =  9 */     82,    544,    941,   1223,   1552,   5900,   7517,   9916,   9917, 
/* msg =   7261, deg =  9 */     83,    545,    942,   1224,   1553,   5901,   7518,   9937,   9938, 
/* msg =   7262, deg =  9 */     84,    546,    943,   1225,   1554,   5902,   7519,   9958,   9959, 
/* msg =   7263, deg =  9 */     85,    547,    944,   1226,   1555,   5903,   7520,   9979,   9980, 
/* msg =   7264, deg =  9 */     86,    548,    945,   1227,   1556,   5904,   7521,  10000,  10001, 
/* msg =   7265, deg =  9 */     87,    549,    946,   1228,   1557,   5905,   7522,  10021,  10022, 
/* msg =   7266, deg =  9 */     88,    550,    947,   1229,   1558,   5906,   7523,  10042,  10043, 
/* msg =   7267, deg =  9 */     89,    551,    948,   1230,   1559,   5907,   7524,  10063,  10064, 
/* msg =   7268, deg =  9 */     90,    552,    949,   1231,   1560,   5908,   7525,  10084,  10085, 
/* msg =   7269, deg =  9 */     91,    553,    950,   1232,   1561,   5909,   7526,  10105,  10106, 
/* msg =   7270, deg =  9 */     92,    554,    951,   1233,   1562,   5910,   7527,  10126,  10127, 
/* msg =   7271, deg =  9 */     93,    555,    952,   1234,   1563,   5911,   7528,  10147,  10148, 
/* msg =   7272, deg =  9 */     94,    556,    953,   1235,   1564,   5912,   7529,  10168,  10169, 
/* msg =   7273, deg =  9 */     95,    557,    954,   1236,   1565,   5913,   7530,  10189,  10190, 
/* msg =   7274, deg =  9 */     96,    558,    955,   1237,   1566,   5914,   7531,  10210,  10211, 
/* msg =   7275, deg =  9 */     97,    559,    956,   1238,   1567,   5915,   7532,  10231,  10232, 
/* msg =   7276, deg =  9 */     98,    560,    957,   1239,   1568,   5916,   7533,  10252,  10253, 
/* msg =   7277, deg =  9 */     99,    561,    958,   1240,   1569,   5917,   7534,  10273,  10274, 
/* msg =   7278, deg =  9 */    100,    562,    959,   1241,   1570,   5918,   7535,  10294,  10295, 
/* msg =   7279, deg =  9 */    101,    563,    960,   1242,   1571,   5919,   7536,  10315,  10316, 
/* msg =   7280, deg =  9 */    102,    564,    961,   1243,   1572,   5920,   7537,  10336,  10337, 
/* msg =   7281, deg =  9 */    103,    565,    962,   1244,   1573,   5921,   7538,  10357,  10358, 
/* msg =   7282, deg =  9 */    104,    566,    963,   1245,   1574,   5922,   7539,  10378,  10379, 
/* msg =   7283, deg =  9 */    105,    567,    964,   1246,   1575,   5923,   7540,  10399,  10400, 
/* msg =   7284, deg =  9 */    106,    568,    965,   1247,   1576,   5924,   7541,  10420,  10421, 
/* msg =   7285, deg =  9 */    107,    569,    966,   1248,   1577,   5925,   7542,  10441,  10442, 
/* msg =   7286, deg =  9 */    108,    570,    967,   1249,   1578,   5926,   7543,  10462,  10463, 
/* msg =   7287, deg =  9 */    109,    571,    968,   1250,   1579,   5927,   7544,  10483,  10484, 
/* msg =   7288, deg =  9 */    110,    572,    969,   1251,   1580,   5928,   7545,  10504,  10505, 
/* msg =   7289, deg =  9 */    111,    573,    970,   1252,   1581,   5929,   7546,  10525,  10526, 
/* msg =   7290, deg =  9 */    112,    574,    971,   1253,   1582,   5930,   7547,  10546,  10547, 
/* msg =   7291, deg =  9 */    113,    575,    972,   1254,   1583,   5931,   7548,  10567,  10568, 
/* msg =   7292, deg =  9 */    114,    576,    973,   1255,   1584,   5932,   7549,  10588,  10589, 
/* msg =   7293, deg =  9 */    115,    577,    974,   1256,   1585,   5933,   7550,  10609,  10610, 
/* msg =   7294, deg =  9 */    116,    578,    975,   1257,   1586,   5934,   7551,  10630,  10631, 
/* msg =   7295, deg =  9 */    117,    579,    976,   1258,   1587,   5935,   7552,  10651,  10652, 
/* msg =   7296, deg =  9 */    118,    580,    977,   1259,   1588,   5936,   7553,  10672,  10673, 
/* msg =   7297, deg =  9 */    119,    581,    978,   1260,   1589,   5937,   7554,  10693,  10694, 
/* msg =   7298, deg =  9 */    120,    582,    979,   1261,   1590,   5938,   7555,  10714,  10715, 
/* msg =   7299, deg =  9 */    121,    583,    980,   1262,   1591,   5939,   7556,  10735,  10736, 
/* msg =   7300, deg =  9 */    122,    584,    981,   1263,   1592,   5940,   7557,  10756,  10757, 
/* msg =   7301, deg =  9 */    123,    585,    982,   1264,   1593,   5941,   7558,  10777,  10778, 
/* msg =   7302, deg =  9 */    124,    586,    983,   1265,   1594,   5942,   7559,  10798,  10799, 
/* msg =   7303, deg =  9 */    125,    587,    984,   1266,   1595,   5943,   7200,  10819,  10820, 
/* msg =   7304, deg =  9 */    126,    588,    985,   1267,   1596,   5944,   7201,  10840,  10841, 
/* msg =   7305, deg =  9 */    127,    589,    986,   1268,   1597,   5945,   7202,  10861,  10862, 
/* msg =   7306, deg =  9 */    128,    590,    987,   1269,   1598,   5946,   7203,  10882,  10883, 
/* msg =   7307, deg =  9 */    129,    591,    988,   1270,   1599,   5947,   7204,  10903,  10904, 
/* msg =   7308, deg =  9 */    130,    592,    989,   1271,   1600,   5948,   7205,  10924,  10925, 
/* msg =   7309, deg =  9 */    131,    593,    990,   1272,   1601,   5949,   7206,  10945,  10946, 
/* msg =   7310, deg =  9 */    132,    594,    991,   1273,   1602,   5950,   7207,  10966,  10967, 
/* msg =   7311, deg =  9 */    133,    595,    992,   1274,   1603,   5951,   7208,  10987,  10988, 
/* msg =   7312, deg =  9 */    134,    596,    993,   1275,   1604,   5952,   7209,  11008,  11009, 
/* msg =   7313, deg =  9 */    135,    597,    994,   1276,   1605,   5953,   7210,  11029,  11030, 
/* msg =   7314, deg =  9 */    136,    598,    995,   1277,   1606,   5954,   7211,  11050,  11051, 
/* msg =   7315, deg =  9 */    137,    599,    996,   1278,   1607,   5955,   7212,  11071,  11072, 
/* msg =   7316, deg =  9 */    138,    600,    997,   1279,   1608,   5956,   7213,  11092,  11093, 
/* msg =   7317, deg =  9 */    139,    601,    998,   1280,   1609,   5957,   7214,  11113,  11114, 
/* msg =   7318, deg =  9 */    140,    602,    999,   1281,   1610,   5958,   7215,  11134,  11135, 
/* msg =   7319, deg =  9 */    141,    603,   1000,   1282,   1611,   5959,   7216,  11155,  11156, 
/* msg =   7320, deg =  9 */    142,    604,   1001,   1283,   1612,   5960,   7217,  11176,  11177, 
/* msg =   7321, deg =  9 */    143,    605,   1002,   1284,   1613,   5961,   7218,  11197,  11198, 
/* msg =   7322, deg =  9 */    144,    606,   1003,   1285,   1614,   5962,   7219,  11218,  11219, 
/* msg =   7323, deg =  9 */    145,    607,   1004,   1286,   1615,   5963,   7220,  11239,  11240, 
/* msg =   7324, deg =  9 */    146,    608,   1005,   1287,   1616,   5964,   7221,  11260,  11261, 
/* msg =   7325, deg =  9 */    147,    609,   1006,   1288,   1617,   5965,   7222,  11281,  11282, 
/* msg =   7326, deg =  9 */    148,    610,   1007,   1289,   1618,   5966,   7223,  11302,  11303, 
/* msg =   7327, deg =  9 */    149,    611,   1008,   1290,   1619,   5967,   7224,  11323,  11324, 
/* msg =   7328, deg =  9 */    150,    612,   1009,   1291,   1620,   5968,   7225,  11344,  11345, 
/* msg =   7329, deg =  9 */    151,    613,   1010,   1292,   1621,   5969,   7226,  11365,  11366, 
/* msg =   7330, deg =  9 */    152,    614,   1011,   1293,   1622,   5970,   7227,  11386,  11387, 
/* msg =   7331, deg =  9 */    153,    615,   1012,   1294,   1623,   5971,   7228,  11407,  11408, 
/* msg =   7332, deg =  9 */    154,    616,   1013,   1295,   1624,   5972,   7229,  11428,  11429, 
/* msg =   7333, deg =  9 */    155,    617,   1014,   1296,   1625,   5973,   7230,  11449,  11450, 
/* msg =   7334, deg =  9 */    156,    618,   1015,   1297,   1626,   5974,   7231,  11470,  11471, 
/* msg =   7335, deg =  9 */    157,    619,   1016,   1298,   1627,   5975,   7232,  11491,  11492, 
/* msg =   7336, deg =  9 */    158,    620,   1017,   1299,   1628,   5976,   7233,  11512,  11513, 
/* msg =   7337, deg =  9 */    159,    621,   1018,   1300,   1629,   5977,   7234,  11533,  11534, 
/* msg =   7338, deg =  9 */    160,    622,   1019,   1301,   1630,   5978,   7235,  11554,  11555, 
/* msg =   7339, deg =  9 */    161,    623,   1020,   1302,   1631,   5979,   7236,  11575,  11576, 
/* msg =   7340, deg =  9 */    162,    624,   1021,   1303,   1632,   5980,   7237,  11596,  11597, 
/* msg =   7341, deg =  9 */    163,    625,   1022,   1304,   1633,   5981,   7238,  11617,  11618, 
/* msg =   7342, deg =  9 */    164,    626,   1023,   1305,   1634,   5982,   7239,  11638,  11639, 
/* msg =   7343, deg =  9 */    165,    627,   1024,   1306,   1635,   5983,   7240,  11659,  11660, 
/* msg =   7344, deg =  9 */    166,    628,   1025,   1307,   1636,   5984,   7241,  11680,  11681, 
/* msg =   7345, deg =  9 */    167,    629,   1026,   1308,   1637,   5985,   7242,  11701,  11702, 
/* msg =   7346, deg =  9 */    168,    630,   1027,   1309,   1638,   5986,   7243,  11722,  11723, 
/* msg =   7347, deg =  9 */    169,    631,   1028,   1310,   1639,   5987,   7244,  11743,  11744, 
/* msg =   7348, deg =  9 */    170,    632,   1029,   1311,   1640,   5988,   7245,  11764,  11765, 
/* msg =   7349, deg =  9 */    171,    633,   1030,   1312,   1641,   5989,   7246,  11785,  11786, 
/* msg =   7350, deg =  9 */    172,    634,   1031,   1313,   1642,   5990,   7247,  11806,  11807, 
/* msg =   7351, deg =  9 */    173,    635,   1032,   1314,   1643,   5991,   7248,  11827,  11828, 
/* msg =   7352, deg =  9 */    174,    636,   1033,   1315,   1644,   5992,   7249,  11848,  11849, 
/* msg =   7353, deg =  9 */    175,    637,   1034,   1316,   1645,   5993,   7250,  11869,  11870, 
/* msg =   7354, deg =  9 */    176,    638,   1035,   1317,   1646,   5994,   7251,  11890,  11891, 
/* msg =   7355, deg =  9 */    177,    639,   1036,   1318,   1647,   5995,   7252,  11911,  11912, 
/* msg =   7356, deg =  9 */    178,    640,   1037,   1319,   1648,   5996,   7253,  11932,  11933, 
/* msg =   7357, deg =  9 */    179,    641,   1038,   1320,   1649,   5997,   7254,  11953,  11954, 
/* msg =   7358, deg =  9 */    180,    642,   1039,   1321,   1650,   5998,   7255,  11974,  11975, 
/* msg =   7359, deg =  9 */    181,    643,   1040,   1322,   1651,   5999,   7256,  11995,  11996, 
/* msg =   7360, deg =  9 */    182,    644,   1041,   1323,   1652,   6000,   7257,  12016,  12017, 
/* msg =   7361, deg =  9 */    183,    645,   1042,   1324,   1653,   6001,   7258,  12037,  12038, 
/* msg =   7362, deg =  9 */    184,    646,   1043,   1325,   1654,   6002,   7259,  12058,  12059, 
/* msg =   7363, deg =  9 */    185,    647,   1044,   1326,   1655,   6003,   7260,  12079,  12080, 
/* msg =   7364, deg =  9 */    186,    648,   1045,   1327,   1656,   6004,   7261,  12100,  12101, 
/* msg =   7365, deg =  9 */    187,    649,   1046,   1328,   1657,   6005,   7262,  12121,  12122, 
/* msg =   7366, deg =  9 */    188,    650,   1047,   1329,   1658,   6006,   7263,  12142,  12143, 
/* msg =   7367, deg =  9 */    189,    651,   1048,   1330,   1659,   6007,   7264,  12163,  12164, 
/* msg =   7368, deg =  9 */    190,    652,   1049,   1331,   1660,   6008,   7265,  12184,  12185, 
/* msg =   7369, deg =  9 */    191,    653,   1050,   1332,   1661,   6009,   7266,  12205,  12206, 
/* msg =   7370, deg =  9 */    192,    654,   1051,   1333,   1662,   6010,   7267,  12226,  12227, 
/* msg =   7371, deg =  9 */    193,    655,   1052,   1334,   1663,   6011,   7268,  12247,  12248, 
/* msg =   7372, deg =  9 */    194,    656,   1053,   1335,   1664,   6012,   7269,  12268,  12269, 
/* msg =   7373, deg =  9 */    195,    657,   1054,   1336,   1665,   6013,   7270,  12289,  12290, 
/* msg =   7374, deg =  9 */    196,    658,   1055,   1337,   1666,   6014,   7271,  12310,  12311, 
/* msg =   7375, deg =  9 */    197,    659,   1056,   1338,   1667,   6015,   7272,  12331,  12332, 
/* msg =   7376, deg =  9 */    198,    660,   1057,   1339,   1668,   6016,   7273,  12352,  12353, 
/* msg =   7377, deg =  9 */    199,    661,   1058,   1340,   1669,   6017,   7274,  12373,  12374, 
/* msg =   7378, deg =  9 */    200,    662,   1059,   1341,   1670,   6018,   7275,  12394,  12395, 
/* msg =   7379, deg =  9 */    201,    663,   1060,   1342,   1671,   6019,   7276,  12415,  12416, 
/* msg =   7380, deg =  9 */    202,    664,   1061,   1343,   1672,   6020,   7277,  12436,  12437, 
/* msg =   7381, deg =  9 */    203,    665,   1062,   1344,   1673,   6021,   7278,  12457,  12458, 
/* msg =   7382, deg =  9 */    204,    666,   1063,   1345,   1674,   6022,   7279,  12478,  12479, 
/* msg =   7383, deg =  9 */    205,    667,   1064,   1346,   1675,   6023,   7280,  12499,  12500, 
/* msg =   7384, deg =  9 */    206,    668,   1065,   1347,   1676,   6024,   7281,  12520,  12521, 
/* msg =   7385, deg =  9 */    207,    669,   1066,   1348,   1677,   6025,   7282,  12541,  12542, 
/* msg =   7386, deg =  9 */    208,    670,   1067,   1349,   1678,   6026,   7283,  12562,  12563, 
/* msg =   7387, deg =  9 */    209,    671,   1068,   1350,   1679,   6027,   7284,  12583,  12584, 
/* msg =   7388, deg =  9 */    210,    672,   1069,   1351,   1680,   6028,   7285,  12604,  12605, 
/* msg =   7389, deg =  9 */    211,    673,   1070,   1352,   1681,   6029,   7286,  12625,  12626, 
/* msg =   7390, deg =  9 */    212,    674,   1071,   1353,   1682,   6030,   7287,  12646,  12647, 
/* msg =   7391, deg =  9 */    213,    675,   1072,   1354,   1683,   6031,   7288,  12667,  12668, 
/* msg =   7392, deg =  9 */    214,    676,   1073,   1355,   1684,   6032,   7289,  12688,  12689, 
/* msg =   7393, deg =  9 */    215,    677,   1074,   1356,   1685,   6033,   7290,  12709,  12710, 
/* msg =   7394, deg =  9 */    216,    678,   1075,   1357,   1686,   6034,   7291,  12730,  12731, 
/* msg =   7395, deg =  9 */    217,    679,   1076,   1358,   1687,   6035,   7292,  12751,  12752, 
/* msg =   7396, deg =  9 */    218,    680,   1077,   1359,   1688,   6036,   7293,  12772,  12773, 
/* msg =   7397, deg =  9 */    219,    681,   1078,   1360,   1689,   6037,   7294,  12793,  12794, 
/* msg =   7398, deg =  9 */    220,    682,   1079,   1361,   1690,   6038,   7295,  12814,  12815, 
/* msg =   7399, deg =  9 */    221,    683,    720,   1362,   1691,   6039,   7296,  12835,  12836, 
/* msg =   7400, deg =  9 */    222,    684,    721,   1363,   1692,   6040,   7297,  12856,  12857, 
/* msg =   7401, deg =  9 */    223,    685,    722,   1364,   1693,   6041,   7298,  12877,  12878, 
/* msg =   7402, deg =  9 */    224,    686,    723,   1365,   1694,   6042,   7299,  12898,  12899, 
/* msg =   7403, deg =  9 */    225,    687,    724,   1366,   1695,   6043,   7300,  12919,  12920, 
/* msg =   7404, deg =  9 */    226,    688,    725,   1367,   1696,   6044,   7301,  12940,  12941, 
/* msg =   7405, deg =  9 */    227,    689,    726,   1368,   1697,   6045,   7302,  12961,  12962, 
/* msg =   7406, deg =  9 */    228,    690,    727,   1369,   1698,   6046,   7303,  12982,  12983, 
/* msg =   7407, deg =  9 */    229,    691,    728,   1370,   1699,   6047,   7304,  13003,  13004, 
/* msg =   7408, deg =  9 */    230,    692,    729,   1371,   1700,   6048,   7305,  13024,  13025, 
/* msg =   7409, deg =  9 */    231,    693,    730,   1372,   1701,   6049,   7306,  13045,  13046, 
/* msg =   7410, deg =  9 */    232,    694,    731,   1373,   1702,   6050,   7307,  13066,  13067, 
/* msg =   7411, deg =  9 */    233,    695,    732,   1374,   1703,   6051,   7308,  13087,  13088, 
/* msg =   7412, deg =  9 */    234,    696,    733,   1375,   1704,   6052,   7309,  13108,  13109, 
/* msg =   7413, deg =  9 */    235,    697,    734,   1376,   1705,   6053,   7310,  13129,  13130, 
/* msg =   7414, deg =  9 */    236,    698,    735,   1377,   1706,   6054,   7311,  13150,  13151, 
/* msg =   7415, deg =  9 */    237,    699,    736,   1378,   1707,   6055,   7312,  13171,  13172, 
/* msg =   7416, deg =  9 */    238,    700,    737,   1379,   1708,   6056,   7313,  13192,  13193, 
/* msg =   7417, deg =  9 */    239,    701,    738,   1380,   1709,   6057,   7314,  13213,  13214, 
/* msg =   7418, deg =  9 */    240,    702,    739,   1381,   1710,   6058,   7315,  13234,  13235, 
/* msg =   7419, deg =  9 */    241,    703,    740,   1382,   1711,   6059,   7316,  13255,  13256, 
/* msg =   7420, deg =  9 */    242,    704,    741,   1383,   1712,   6060,   7317,  13276,  13277, 
/* msg =   7421, deg =  9 */    243,    705,    742,   1384,   1713,   6061,   7318,  13297,  13298, 
/* msg =   7422, deg =  9 */    244,    706,    743,   1385,   1714,   6062,   7319,  13318,  13319, 
/* msg =   7423, deg =  9 */    245,    707,    744,   1386,   1715,   6063,   7320,  13339,  13340, 
/* msg =   7424, deg =  9 */    246,    708,    745,   1387,   1716,   6064,   7321,  13360,  13361, 
/* msg =   7425, deg =  9 */    247,    709,    746,   1388,   1717,   6065,   7322,  13381,  13382, 
/* msg =   7426, deg =  9 */    248,    710,    747,   1389,   1718,   6066,   7323,  13402,  13403, 
/* msg =   7427, deg =  9 */    249,    711,    748,   1390,   1719,   6067,   7324,  13423,  13424, 
/* msg =   7428, deg =  9 */    250,    712,    749,   1391,   1720,   6068,   7325,  13444,  13445, 
/* msg =   7429, deg =  9 */    251,    713,    750,   1392,   1721,   6069,   7326,  13465,  13466, 
/* msg =   7430, deg =  9 */    252,    714,    751,   1393,   1722,   6070,   7327,  13486,  13487, 
/* msg =   7431, deg =  9 */    253,    715,    752,   1394,   1723,   6071,   7328,  13507,  13508, 
/* msg =   7432, deg =  9 */    254,    716,    753,   1395,   1724,   6072,   7329,  13528,  13529, 
/* msg =   7433, deg =  9 */    255,    717,    754,   1396,   1725,   6073,   7330,  13549,  13550, 
/* msg =   7434, deg =  9 */    256,    718,    755,   1397,   1726,   6074,   7331,  13570,  13571, 
/* msg =   7435, deg =  9 */    257,    719,    756,   1398,   1727,   6075,   7332,  13591,  13592, 
/* msg =   7436, deg =  9 */    258,    360,    757,   1399,   1728,   6076,   7333,  13612,  13613, 
/* msg =   7437, deg =  9 */    259,    361,    758,   1400,   1729,   6077,   7334,  13633,  13634, 
/* msg =   7438, deg =  9 */    260,    362,    759,   1401,   1730,   6078,   7335,  13654,  13655, 
/* msg =   7439, deg =  9 */    261,    363,    760,   1402,   1731,   6079,   7336,  13675,  13676, 
/* msg =   7440, deg =  9 */    262,    364,    761,   1403,   1732,   6080,   7337,  13696,  13697, 
/* msg =   7441, deg =  9 */    263,    365,    762,   1404,   1733,   6081,   7338,  13717,  13718, 
/* msg =   7442, deg =  9 */    264,    366,    763,   1405,   1734,   6082,   7339,  13738,  13739, 
/* msg =   7443, deg =  9 */    265,    367,    764,   1406,   1735,   6083,   7340,  13759,  13760, 
/* msg =   7444, deg =  9 */    266,    368,    765,   1407,   1736,   6084,   7341,  13780,  13781, 
/* msg =   7445, deg =  9 */    267,    369,    766,   1408,   1737,   6085,   7342,  13801,  13802, 
/* msg =   7446, deg =  9 */    268,    370,    767,   1409,   1738,   6086,   7343,  13822,  13823, 
/* msg =   7447, deg =  9 */    269,    371,    768,   1410,   1739,   6087,   7344,  13843,  13844, 
/* msg =   7448, deg =  9 */    270,    372,    769,   1411,   1740,   6088,   7345,  13864,  13865, 
/* msg =   7449, deg =  9 */    271,    373,    770,   1412,   1741,   6089,   7346,  13885,  13886, 
/* msg =   7450, deg =  9 */    272,    374,    771,   1413,   1742,   6090,   7347,  13906,  13907, 
/* msg =   7451, deg =  9 */    273,    375,    772,   1414,   1743,   6091,   7348,  13927,  13928, 
/* msg =   7452, deg =  9 */    274,    376,    773,   1415,   1744,   6092,   7349,  13948,  13949, 
/* msg =   7453, deg =  9 */    275,    377,    774,   1416,   1745,   6093,   7350,  13969,  13970, 
/* msg =   7454, deg =  9 */    276,    378,    775,   1417,   1746,   6094,   7351,  13990,  13991, 
/* msg =   7455, deg =  9 */    277,    379,    776,   1418,   1747,   6095,   7352,  14011,  14012, 
/* msg =   7456, deg =  9 */    278,    380,    777,   1419,   1748,   6096,   7353,  14032,  14033, 
/* msg =   7457, deg =  9 */    279,    381,    778,   1420,   1749,   6097,   7354,  14053,  14054, 
/* msg =   7458, deg =  9 */    280,    382,    779,   1421,   1750,   6098,   7355,  14074,  14075, 
/* msg =   7459, deg =  9 */    281,    383,    780,   1422,   1751,   6099,   7356,  14095,  14096, 
/* msg =   7460, deg =  9 */    282,    384,    781,   1423,   1752,   6100,   7357,  14116,  14117, 
/* msg =   7461, deg =  9 */    283,    385,    782,   1424,   1753,   6101,   7358,  14137,  14138, 
/* msg =   7462, deg =  9 */    284,    386,    783,   1425,   1754,   6102,   7359,  14158,  14159, 
/* msg =   7463, deg =  9 */    285,    387,    784,   1426,   1755,   6103,   7360,  14179,  14180, 
/* msg =   7464, deg =  9 */    286,    388,    785,   1427,   1756,   6104,   7361,  14200,  14201, 
/* msg =   7465, deg =  9 */    287,    389,    786,   1428,   1757,   6105,   7362,  14221,  14222, 
/* msg =   7466, deg =  9 */    288,    390,    787,   1429,   1758,   6106,   7363,  14242,  14243, 
/* msg =   7467, deg =  9 */    289,    391,    788,   1430,   1759,   6107,   7364,  14263,  14264, 
/* msg =   7468, deg =  9 */    290,    392,    789,   1431,   1760,   6108,   7365,  14284,  14285, 
/* msg =   7469, deg =  9 */    291,    393,    790,   1432,   1761,   6109,   7366,  14305,  14306, 
/* msg =   7470, deg =  9 */    292,    394,    791,   1433,   1762,   6110,   7367,  14326,  14327, 
/* msg =   7471, deg =  9 */    293,    395,    792,   1434,   1763,   6111,   7368,  14347,  14348, 
/* msg =   7472, deg =  9 */    294,    396,    793,   1435,   1764,   6112,   7369,  14368,  14369, 
/* msg =   7473, deg =  9 */    295,    397,    794,   1436,   1765,   6113,   7370,  14389,  14390, 
/* msg =   7474, deg =  9 */    296,    398,    795,   1437,   1766,   6114,   7371,  14410,  14411, 
/* msg =   7475, deg =  9 */    297,    399,    796,   1438,   1767,   6115,   7372,  14431,  14432, 
/* msg =   7476, deg =  9 */    298,    400,    797,   1439,   1768,   6116,   7373,  14452,  14453, 
/* msg =   7477, deg =  9 */    299,    401,    798,   1080,   1769,   6117,   7374,  14473,  14474, 
/* msg =   7478, deg =  9 */    300,    402,    799,   1081,   1770,   6118,   7375,  14494,  14495, 
/* msg =   7479, deg =  9 */    301,    403,    800,   1082,   1771,   6119,   7376,  14515,  14516, 
/* msg =   7480, deg =  9 */    302,    404,    801,   1083,   1772,   5760,   7377,  14536,  14537, 
/* msg =   7481, deg =  9 */    303,    405,    802,   1084,   1773,   5761,   7378,  14557,  14558, 
/* msg =   7482, deg =  9 */    304,    406,    803,   1085,   1774,   5762,   7379,  14578,  14579, 
/* msg =   7483, deg =  9 */    305,    407,    804,   1086,   1775,   5763,   7380,  14599,  14600, 
/* msg =   7484, deg =  9 */    306,    408,    805,   1087,   1776,   5764,   7381,  14620,  14621, 
/* msg =   7485, deg =  9 */    307,    409,    806,   1088,   1777,   5765,   7382,  14641,  14642, 
/* msg =   7486, deg =  9 */    308,    410,    807,   1089,   1778,   5766,   7383,  14662,  14663, 
/* msg =   7487, deg =  9 */    309,    411,    808,   1090,   1779,   5767,   7384,  14683,  14684, 
/* msg =   7488, deg =  9 */    310,    412,    809,   1091,   1780,   5768,   7385,  14704,  14705, 
/* msg =   7489, deg =  9 */    311,    413,    810,   1092,   1781,   5769,   7386,  14725,  14726, 
/* msg =   7490, deg =  9 */    312,    414,    811,   1093,   1782,   5770,   7387,  14746,  14747, 
/* msg =   7491, deg =  9 */    313,    415,    812,   1094,   1783,   5771,   7388,  14767,  14768, 
/* msg =   7492, deg =  9 */    314,    416,    813,   1095,   1784,   5772,   7389,  14788,  14789, 
/* msg =   7493, deg =  9 */    315,    417,    814,   1096,   1785,   5773,   7390,  14809,  14810, 
/* msg =   7494, deg =  9 */    316,    418,    815,   1097,   1786,   5774,   7391,  14830,  14831, 
/* msg =   7495, deg =  9 */    317,    419,    816,   1098,   1787,   5775,   7392,  14851,  14852, 
/* msg =   7496, deg =  9 */    318,    420,    817,   1099,   1788,   5776,   7393,  14872,  14873, 
/* msg =   7497, deg =  9 */    319,    421,    818,   1100,   1789,   5777,   7394,  14893,  14894, 
/* msg =   7498, deg =  9 */    320,    422,    819,   1101,   1790,   5778,   7395,  14914,  14915, 
/* msg =   7499, deg =  9 */    321,    423,    820,   1102,   1791,   5779,   7396,  14935,  14936, 
/* msg =   7500, deg =  9 */    322,    424,    821,   1103,   1792,   5780,   7397,  14956,  14957, 
/* msg =   7501, deg =  9 */    323,    425,    822,   1104,   1793,   5781,   7398,  14977,  14978, 
/* msg =   7502, deg =  9 */    324,    426,    823,   1105,   1794,   5782,   7399,  14998,  14999, 
/* msg =   7503, deg =  9 */    325,    427,    824,   1106,   1795,   5783,   7400,  15019,  15020, 
/* msg =   7504, deg =  9 */    326,    428,    825,   1107,   1796,   5784,   7401,  15040,  15041, 
/* msg =   7505, deg =  9 */    327,    429,    826,   1108,   1797,   5785,   7402,  15061,  15062, 
/* msg =   7506, deg =  9 */    328,    430,    827,   1109,   1798,   5786,   7403,  15082,  15083, 
/* msg =   7507, deg =  9 */    329,    431,    828,   1110,   1799,   5787,   7404,  15103,  15104, 
/* msg =   7508, deg =  9 */    330,    432,    829,   1111,   1440,   5788,   7405,  15124,  15125, 
/* msg =   7509, deg =  9 */    331,    433,    830,   1112,   1441,   5789,   7406,  15145,  15146, 
/* msg =   7510, deg =  9 */    332,    434,    831,   1113,   1442,   5790,   7407,  15166,  15167, 
/* msg =   7511, deg =  9 */    333,    435,    832,   1114,   1443,   5791,   7408,  15187,  15188, 
/* msg =   7512, deg =  9 */    334,    436,    833,   1115,   1444,   5792,   7409,  15208,  15209, 
/* msg =   7513, deg =  9 */    335,    437,    834,   1116,   1445,   5793,   7410,  15229,  15230, 
/* msg =   7514, deg =  9 */    336,    438,    835,   1117,   1446,   5794,   7411,  15250,  15251, 
/* msg =   7515, deg =  9 */    337,    439,    836,   1118,   1447,   5795,   7412,  15271,  15272, 
/* msg =   7516, deg =  9 */    338,    440,    837,   1119,   1448,   5796,   7413,  15292,  15293, 
/* msg =   7517, deg =  9 */    339,    441,    838,   1120,   1449,   5797,   7414,  15313,  15314, 
/* msg =   7518, deg =  9 */    340,    442,    839,   1121,   1450,   5798,   7415,  15334,  15335, 
/* msg =   7519, deg =  9 */    341,    443,    840,   1122,   1451,   5799,   7416,  15355,  15356, 
/* msg =   7520, deg =  9 */    342,    444,    841,   1123,   1452,   5800,   7417,  15376,  15377, 
/* msg =   7521, deg =  9 */    343,    445,    842,   1124,   1453,   5801,   7418,  15397,  15398, 
/* msg =   7522, deg =  9 */    344,    446,    843,   1125,   1454,   5802,   7419,  15418,  15419, 
/* msg =   7523, deg =  9 */    345,    447,    844,   1126,   1455,   5803,   7420,  15439,  15440, 
/* msg =   7524, deg =  9 */    346,    448,    845,   1127,   1456,   5804,   7421,  15460,  15461, 
/* msg =   7525, deg =  9 */    347,    449,    846,   1128,   1457,   5805,   7422,  15481,  15482, 
/* msg =   7526, deg =  9 */    348,    450,    847,   1129,   1458,   5806,   7423,  15502,  15503, 
/* msg =   7527, deg =  9 */    349,    451,    848,   1130,   1459,   5807,   7424,  15523,  15524, 
/* msg =   7528, deg =  9 */    350,    452,    849,   1131,   1460,   5808,   7425,  15544,  15545, 
/* msg =   7529, deg =  9 */    351,    453,    850,   1132,   1461,   5809,   7426,  15565,  15566, 
/* msg =   7530, deg =  9 */    352,    454,    851,   1133,   1462,   5810,   7427,  15586,  15587, 
/* msg =   7531, deg =  9 */    353,    455,    852,   1134,   1463,   5811,   7428,  15607,  15608, 
/* msg =   7532, deg =  9 */    354,    456,    853,   1135,   1464,   5812,   7429,  15628,  15629, 
/* msg =   7533, deg =  9 */    355,    457,    854,   1136,   1465,   5813,   7430,  15649,  15650, 
/* msg =   7534, deg =  9 */    356,    458,    855,   1137,   1466,   5814,   7431,  15670,  15671, 
/* msg =   7535, deg =  9 */    357,    459,    856,   1138,   1467,   5815,   7432,  15691,  15692, 
/* msg =   7536, deg =  9 */    358,    460,    857,   1139,   1468,   5816,   7433,  15712,  15713, 
/* msg =   7537, deg =  9 */    359,    461,    858,   1140,   1469,   5817,   7434,  15733,  15734, 
/* msg =   7538, deg =  9 */      0,    462,    859,   1141,   1470,   5818,   7435,  15754,  15755, 
/* msg =   7539, deg =  9 */      1,    463,    860,   1142,   1471,   5819,   7436,  15775,  15776, 
/* msg =   7540, deg =  9 */      2,    464,    861,   1143,   1472,   5820,   7437,  15796,  15797, 
/* msg =   7541, deg =  9 */      3,    465,    862,   1144,   1473,   5821,   7438,  15817,  15818, 
/* msg =   7542, deg =  9 */      4,    466,    863,   1145,   1474,   5822,   7439,  15838,  15839, 
/* msg =   7543, deg =  9 */      5,    467,    864,   1146,   1475,   5823,   7440,  15859,  15860, 
/* msg =   7544, deg =  9 */      6,    468,    865,   1147,   1476,   5824,   7441,  15880,  15881, 
/* msg =   7545, deg =  9 */      7,    469,    866,   1148,   1477,   5825,   7442,  15901,  15902, 
/* msg =   7546, deg =  9 */      8,    470,    867,   1149,   1478,   5826,   7443,  15922,  15923, 
/* msg =   7547, deg =  9 */      9,    471,    868,   1150,   1479,   5827,   7444,  15943,  15944, 
/* msg =   7548, deg =  9 */     10,    472,    869,   1151,   1480,   5828,   7445,  15964,  15965, 
/* msg =   7549, deg =  9 */     11,    473,    870,   1152,   1481,   5829,   7446,  15985,  15986, 
/* msg =   7550, deg =  9 */     12,    474,    871,   1153,   1482,   5830,   7447,  16006,  16007, 
/* msg =   7551, deg =  9 */     13,    475,    872,   1154,   1483,   5831,   7448,  16027,  16028, 
/* msg =   7552, deg =  9 */     14,    476,    873,   1155,   1484,   5832,   7449,  16048,  16049, 
/* msg =   7553, deg =  9 */     15,    477,    874,   1156,   1485,   5833,   7450,  16069,  16070, 
/* msg =   7554, deg =  9 */     16,    478,    875,   1157,   1486,   5834,   7451,  16090,  16091, 
/* msg =   7555, deg =  9 */     17,    479,    876,   1158,   1487,   5835,   7452,  16111,  16112, 
/* msg =   7556, deg =  9 */     18,    480,    877,   1159,   1488,   5836,   7453,  16132,  16133, 
/* msg =   7557, deg =  9 */     19,    481,    878,   1160,   1489,   5837,   7454,  16153,  16154, 
/* msg =   7558, deg =  9 */     20,    482,    879,   1161,   1490,   5838,   7455,  16174,  16175, 
/* msg =   7559, deg =  9 */     21,    483,    880,   1162,   1491,   5839,   7456,  16195,  16196
};
#endif

